Name: Quantum Thermalization Breakdown: Localization and Multifractality
Start: 2026-10-12T08:45:00+02:00
End: 2026-10-16T18:00:00+02:00
Location: Albano Building 3

Quantum Thermalization Breakdown: Localization and Multifractality

from Monday, 12 October 2026 (08:45) to Friday, 16 October 2026 (18:00)

Monday, 12 October 2026
08:45 Opening remarks - Ivan Khaymovich (Stockholm University, Nordita)
Opening remarks
- Ivan Khaymovich (Stockholm University, Nordita)
08:45 - 09:00
Room: Albano 3: 4205 - SU Conference Room (40 seats)
09:00 Anderson localization of light - Serguei Skipetrov (LPMMC)
Anderson localization of light
- Serguei Skipetrov (LPMMC)
09:00 - 10:00
Room: Albano 3: 4205 - SU Conference Room (40 seats) All waves – quantum or classical, mechanical or electromagnetic – often behave in a similar way. It turns out, however, that electromagnetic waves in general and light in particular are very different from other types of waves when propagation in strongly disordered media is concerned. Whereas matter, acoustic or elastic waves experience Anderson localization in any space dimension (and, in particular, in 3D), this phenomenon is notoriously difficult to realize for light in 3D. Experimental reports existing for 30 years have been continuously questioned. Theoretical studies indicate that longitudinal electromagnetic fields may be an obstacle for Anderson localization. Only very recently we have been able to capitalize on previous theoretical studies to design an experiment in which Anderson localization of light in 3D has been observed. In this talk, I will review the exciting research that led to this recent success.
10:00 Coffee break
Coffee break
10:00 - 10:30
Room: Albano 3: 4205 - SU Conference Room (40 seats)
10:30 Shaping causality: programmable nonlocal signal generation in long-range spin systems - Giuseppe Luca Celardo (University of Florence)
Shaping causality: programmable nonlocal signal generation in long-range spin systems
- Giuseppe Luca Celardo (University of Florence)
10:30 - 11:30
Room: Albano 3: 4205 - SU Conference Room (40 seats) Understanding how information spreads in non-relativistic many-body systems is a central issue for quantum information processing. While short-range interactions confine information within a local light cone, long-range interactions typically lead to uncontrolled nonlocal spread across the entire system. Here, we demonstrate that this apparent dichotomy is not fundamental, and that the onset of nonlocality in systems with long-range interactions can be deterministically controlled. By mapping spin dynamics to a hard-core boson chain, we identify a regime where the causal space-time landscape can be precisely shaped. We show that placing spin excitations in a polarized background allows a local perturbation to trigger nonlocal signals exactly at the positions of these excitations. These pre-selected sites act as seeds for new, effective light cones, allowing information to bypass the bulk and re-emerge at distant, programmable locations. This mechanism avoids uncontrollable global nonlocality while circumventing the speed limits associated with local transport. By engineering these nonlocal communication channels, our findings offer a versatile framework for information distribution relevant to quantum memories, error correction, and programmable platforms such as trapped ions.
11:30 Non-ergodic phase of the β ensemble - Adway Kumar Das (Loughborough University)
Non-ergodic phase of the β ensemble
- Adway Kumar Das (Loughborough University)
11:30 - 12:30
Room: Albano 3: 4205 - SU Conference Room (40 seats) In random matrix theory, the β ensemble is a generalization of the Wigner-Dyson ensembles to arbitrary values of β. Dumitriu and Edelman proposed a matrix model of the β ensemble, which is equivalent to a single-particle Hamiltonian with inhomogeneous disorder in the hopping amplitudes. The β ensemble exhibits a non-ergodic phase which has many distinctive features: weak long-range energy correlation despite the absence of short-range correlation, coexistence of localized and extended states without forming any mobility edge, fast eqiulibration of quench dynamics. All these anomalous properties can be understood from a spatially local equivalence to the 1D Anderson model. In the zero temperature limit (β → ∞), the β ensemble reduces to a deterministic Hamiltonian, which has an energy-coordinate duality to the quantum Harmonic oscillator. We find that corresponding bulk states have energy dependent multifractality.
12:30 Lunch break
Lunch break
12:30 - 14:00
Room: Albano 3: 4205 - SU Conference Room (40 seats)
14:00 Information Compression at Criticality - Lev Vidmar (Institut "Jožef Stefan")
Information Compression at Criticality
- Lev Vidmar (Institut "Jožef Stefan")
14:00 - 15:00
Room: Albano 3: 4205 - SU Conference Room (40 seats)
15:00 Theory of Anderson localization on the hyperbolic plane - Maksimilian Usoltcev (University of Cologne)
Theory of Anderson localization on the hyperbolic plane
- Maksimilian Usoltcev (University of Cologne)
15:00 - 16:00
Room: Albano 3: 4205 - SU Conference Room (40 seats) The two-dimensional hyperbolic plane, H^2, is an unusual system in that dimensionality changes with scale: locally two-dimensional and planar at short distances, but effectively infinite-dimensional at large scales, it provides an interesting paradigm for the study of (quantum) phase transitions, notably the disorder-driven Anderson transition. Generalizing previous work, which treated short and large distance scales separately, we develop a unified framework interpolating between the principles of low- and high-dimensional Anderson localization. As a main result, we derive a two-parameter flow in a plane spanned by scale-dependent curvature (setting the system's effective dimensionality) and conductivity, with an extended critical line separating metallic and insulating phases.
16:00 Coffee break
Coffee break
16:00 - 16:30
Room: Albano 3: 4205 - SU Conference Room (40 seats)

16:30 Topical Discussion
Topical Discussion
16:30 - 18:00
Room: Albano 3: 4205 - SU Conference Room (40 seats)
18:00 Poster session + reception: Poster session + reception
Poster session + reception
18:00 - 19:30
Room: Albano 3: 4205 - SU Conference Room (40 seats)
Contributions

18:00 Out-of-time-order correlators with Symmetry Resolution - Martina GISTI (University of Bonn)

18:08 Post-measurement Quantum Monte Carlo - Kriti BAWEJA (University of Bonn)

18:16 Renyi Negativity from Nonequilibrium Work - Jannis KASTELL (University of Bonn)

18:24 Anomalous and Conventional Mobility Edges in Quasiperiodic ABF Diamond Chain - Manish Kumar (IISER Bhopal)

18:32 Exact solution of the forward-scattering chain in the PXP model - Saurav PANDEY (Ben Gurion University of the Negev)

18:40 Measurement-induced crossover of quantum jump statistics in postselection-free many-body dynamics - Kazuki YAMAMOTO (Osaka Metropolitan Uni)

18:48 Restricted typicality in non-equilibrium quantum many-body systems - Konrad PAWLIK (Jagiellonian University)

18:56 Fragmentation in non-Hermitian models - Maria ZELENAYOVA (Stockholm University)

19:04 Persistent coherent quantum dynamics in 2D long-range magnets via magnon binding - Vighnesh Dattatraya NAIK (University of Augsburg)

19:12 Krylov Complexity: A New Order Parameter? - Nitin GUPTA (Jagiellonian University)

19:20 Non-ergodic dynamics from chiral symmetries - Kristian Knakkergaard NIELSEN (Niels Bohr Institute, University of Copenhagen)
Tuesday, 13 October 2026
09:00 Spectral Form Factor in Random Matrix Ensembles - Anandamohan Ghosh (IISER Kolkata)
Spectral Form Factor in Random Matrix Ensembles
- Anandamohan Ghosh (IISER Kolkata)
09:00 - 10:00
Room: Albano 3: 4205 - SU Conference Room (40 seats) We study the spectral properties of a tridiagonal matrix ensemble that is isospectral to random matrices, in which strength of level repulsion (β) can be tuned continuously to interpolate between integrable and chaotic regimes. Our analysis reveals that the spatial inhomogeneity in the β-ensemble gives rise to Non-Ergodic Extended (NEE) states and is devoid of any mobility edge. This NEE phase is associated with an unconventional energy scale which is captured by the Spectral Form Factors (SFF). The relaxation dynamics in β-ensemble is significantly different from those observed in standard many-body systems. Furthermore, using finite temperature spectral form factors we systematically probe distinct energy scales and extract the system-size scaling laws of the associated relaxation times.
10:00 Coffee break
Coffee break
10:00 - 10:30
Room: Albano 3: 4205 - SU Conference Room (40 seats)
10:30 Effects of topological heterogeneity on random matrix spectra - Peter Sollich (University of Goettingen)
Effects of topological heterogeneity on random matrix spectra
- Peter Sollich (University of Goettingen)
10:30 - 11:30
Room: Albano 3: 4205 - SU Conference Room (40 seats)
11:30 Exact spectral solution of a finite-channel random Schr\"odinger operator: fermionization of the Dyson--Riccati gas - Yan Fyodorov (King's College London)
Exact spectral solution of a finite-channel random Schr\"odinger operator: fermionization of the Dyson--Riccati gas
- Yan Fyodorov (King's College London)
11:30 - 12:30
Room: Albano 3: 4205 - SU Conference Room (40 seats) We solve exactly, for arbitrary finite channel number $N$, the Riccati dynamics of a quasi-one-dimensional random matrix Schr""odinger operator with Hermitian white-noise potential in the unitary symmetry class. At $\beta=2$, the associated Dyson--Riccati gas admits an exact free-fermion representation, yielding explicit finite-$N$ expressions for the density of states and the total Lyapunov growth rate. Equivalently, these quantities are encoded by a Kontsevich matrix Airy $\tau$-function. We then discuss the large-$N$ spectral edge, where the finite-channel Lifshitz-type tail rounds the sharp $N=\infty$ edge within an $N^{-4/5}$ scaling window governed by a universal cubic-oscillator problem. Finally, we discuss a conjectured connection between this scaling regime and the localized spectral edge of a broad class of one-dimensional random band matrices. The talk is based on joint work in progress with Pierre Le Doussal.
12:30 Lunch break
Lunch break
12:30 - 14:00
Room: Albano 3: 4205 - SU Conference Room (40 seats)
14:00 Level statistics and multifractality in random matrix ensembles - Leticia Cugliandolo (LPTHE CNRS)
Level statistics and multifractality in random matrix ensembles
- Leticia Cugliandolo (LPTHE CNRS)
14:00 - 15:00
Room: Albano 3: 4205 - SU Conference Room (40 seats)
15:00 Hunting Rare Resonances in Many-Body Localized Phases - Marco Tarzia (LPTMC CNRS)
Hunting Rare Resonances in Many-Body Localized Phases
- Marco Tarzia (LPTMC CNRS)
15:00 - 16:00
Room: Albano 3: 4205 - SU Conference Room (40 seats) Rare system-wide resonances are expected to play a prominent role in driving the many-body localization (MBL) transition and dictating the stability of the MBL phase. In this talk, we introduce a novel theoretical framework based on an analogy with mean-field disordered glassy systems to properly account for the statistical weight of these resonant configurations. Utilizing this framework, we generate biased disorder realizations to investigate the structural origin of long-range resonances in the Hilbert space. Our results demonstrate that their formation is fundamentally driven by the emergence of extended regions with anomalously weak disorder in real space.
16:00 Coffee break
Coffee break
16:00 - 16:30
Room: Albano 3: 4205 - SU Conference Room (40 seats)

16:30 Topical Discussion
Topical Discussion
16:30 - 18:00
Room: Albano 3: 4205 - SU Conference Room (40 seats)
Wednesday, 14 October 2026
09:00 Nonstabilizerness of ergodic and non-ergodic quantum dynamics - Piotr Sierant (Barcelona Supercomputing Center)
Nonstabilizerness of ergodic and non-ergodic quantum dynamics
- Piotr Sierant (Barcelona Supercomputing Center)
09:00 - 10:00
Room: Albano 3: 4205 - SU Conference Room (40 seats) Magic state resources, also known as the non-stabilizerness, quantify the beyond-Clifford operations necessary for universal quantum computing and are related to complexity of representing states of quantum many-body systems on classical computers. How rapidly are magic resources generated by generic many-body dynamics under constraints of locality? What can we say about non-stabilizerness of time-evolved state in the limit of long-time evolution under many-body Hamiltonians? In this talk, I will address these questions by discussing non-stabilizerness of Haar-random states, and its relation with non-stabilizerness of eigenstates of ergodic many-body systems [1]. Subsequently, I will discuss the problem of magic spreading in brick-wall random unitary circuits [2], which combine principles of locality and unitarity, serving as a minimal model of ergodic many-body dynamics. This model shows that magic resources equilibrate on timescales logarithmic in system size N, akin to Hilbert space delocalization measures, but differently from entanglement entropy. I will discuss how this results extend to ergodic [3] and many-body localized [4] systems. [1] X. Turkeshi, A. Dymarsky, P. Sierant, Phys. Rev. B 111, 054301 (2025) [2] X. Turkeshi, E. Tirrito, P. Sierant, Nat Commun 16, 2575 (2025) [3] E. Tirrito, X. Turkeshi, P. Sierant, Phys. Rev. Lett. 135, 220401 (2025) [4] P. R. Nicácio Falcão, P. Sierant, J. Zakrzewski, E. Tirrito
10:00 Coffee break
Coffee break
10:00 - 10:30
Room: Albano 3: 4205 - SU Conference Room (40 seats)
10:30 Local Rotational Invariance and Free Probability for refining the Eigenstate Thermalization Hypothesis - Elisa Vallini (University of Cologne)
Local Rotational Invariance and Free Probability for refining the Eigenstate Thermalization Hypothesis
- Elisa Vallini (University of Cologne)
10:30 - 11:30
Room: Albano 3: 4205 - SU Conference Room (40 seats) Understanding how isolated quantum many-body systems reach thermal equilibrium is a central question in nonequilibrium physics. The Eigenstate Thermalization Hypothesis (ETH) provides a powerful framework by linking thermalization to the statistical properties of matrix elements of physical observables in the energy eigenbasis. In this talk I will present a recent work in which we revisit and clarify in detail the ideas that have led to the formulation of full ETH, a generalization of the ETH ansatz that captures multi-point correlation functions. Specifically, using tools from free probability, we explore the implications of local rotational invariance, a property that emerges from the statistical invariance of observables under random basis transformations induced by small perturbations of the Hamiltonian. This approach allows us to analytically characterize subleading corrections to matrix-element correlations, thereby refining the ETH ansatz. Our results open several promising directions for future research in many-body quantum dynamics as well as in quantum information theory.
11:30 Quantum Sun and its extensions as models for MBL - Jakub Zakrzewski (Jagiellonian University)
Quantum Sun and its extensions as models for MBL
- Jakub Zakrzewski (Jagiellonian University)
11:30 - 12:30
Room: Albano 3: 4205 - SU Conference Room (40 seats) I will discuss the Quantum Sun model as an example of 0-dimensional model exhibiting MBL. We introduce the interacting Anderson Quantum Sun model, which significantly deviates from the conventional expectations. In addition to standard localized and ergodic phases, we identify a regime that exhibits volume-law entanglement coexisting with intermediate spectral statistics. We also identify another nonstandard regime marked by Poisson level statistics, sub-volume entanglement growth, and rare-event-dominated correlations, indicative of emerging ergodic instabilities. The talk will be based on Phys. Rev. B113, L180203 (2026).
12:30 Lunch break
Lunch break
12:30 - 14:00
Room: Albano 3: 4205 - SU Conference Room (40 seats)
14:00 Ergodicity in Hilbert Space: From Porter–Thomas to Entanglement and Quantum Designs - Giuseppe De Tomasi (IST CEFMA, University of Lisbon)
Ergodicity in Hilbert Space: From Porter–Thomas to Entanglement and Quantum Designs
- Giuseppe De Tomasi (IST CEFMA, University of Lisbon)
14:00 - 15:00
Room: Albano 3: 4205 - SU Conference Room (40 seats) Thermalization is intimately connected to ergodicity in Hilbert space, namely the spreading of the wave function over the many-body Fock space, which links quantum dynamics to random matrix theory. First, I will discuss the self-dual kicked Ising model, a minimal model of many-body quantum chaos, and show how an initially localized state converges to a Haar-random state with Porter–Thomas statistics. Second, I will show that entanglement entropies can be fully ergodic even when the wave function occupies only a vanishing fraction of the Hilbert space. Finally, I will ask whether ergodicity can be defined independently of the observable. Using quantum k-designs and their frame potential, I will show that fractal states look Haar-random at the level of k moments only when their fractal dimension is large enough.
15:00 Anomalously Slow Transport in Tilted Chains - Aleksander Głódkowski (WUST/LPT CNRS)
Anomalously Slow Transport in Tilted Chains
- Aleksander Głódkowski (WUST/LPT CNRS)
15:00 - 16:00
Room: Albano 3: 4205 - SU Conference Room (40 seats)
16:00 Coffee break
Coffee break
16:00 - 16:30
Room: Albano 3: 4205 - SU Conference Room (40 seats)

16:30 Topical Discussion
Topical Discussion
16:30 - 18:00
Room: Albano 3: 4205 - SU Conference Room (40 seats)
Thursday, 15 October 2026
09:00 Scaling PXP scars - David Luitz (University of Bonn)
Scaling PXP scars
- David Luitz (University of Bonn)
09:00 - 10:00
Room: Albano 3: 4205 - SU Conference Room (40 seats) Do the quantum many-body scars of the PXP model survive in the thermodynamic limit? Polynomial filter diagonalization gives access to exact eigenstates at the center of the spectrum for long chains. I will present new results on the energies, entanglement and Néel-state overlap of the scar states up to L=40.
10:00 Coffee break
Coffee break
10:00 - 10:30
Room: Albano 3: 4205 - SU Conference Room (40 seats)
10:30 Hierarchical expansion approaches to spectral statistics and defect localization - Henning Schomerus (Lancaster University)
Hierarchical expansion approaches to spectral statistics and defect localization
- Henning Schomerus (Lancaster University)
10:30 - 11:30
Room: Albano 3: 4205 - SU Conference Room (40 seats) I report on three different expansion approaches that systematically capture spatial and dynamical content of complex wave functions. The first approach uses the surface Green's function to analyze and design interface and defect states at any arbitrary energy [1]. The second approach expands the dynamical correlations of generalized spectral form factors in ergodic stochastic systems [2,3]. The third approach expands the resolvent Green's function in terms of modes of the adjugate matrix, which provides detailed insights into spectral deficient scenarios [4,5,6]. [1] Renormalization approach to the analysis and design of Hermitian and non-Hermitian interfaces, H. Schomerus, Phys. Rev. Res 5, 043224 (2023). [2] Hierarchical analytical approach to universal spectral correlations in Brownian quantum chaos, T. Kalsi, A. Romito, and H. Schomerus, Phys. Rev. B 111, 094211 (2025). [3] Spectral chaos bounds from scaling theory of maximally efficient quantum-dynamical scrambling, T. Kalsi, A. Romito, and H. Schomerus, Quantum 9, arXiv:2310.11355 (2025). [4] Eigenvalue sensitivity from eigenstate geometry near and beyond arbitrary-order exceptional points, H. Schomerus, Phys. Rev. Res. 6, 013044 (2024). [5] Fragmented exceptional points and their bulk and edge realizations in lattice models, S. Bid and H. Schomerus, Phys. Rev. B 112, 195433 (2025). [6] Uniform response theory of non-Hermitian systems: Non-Hermitian physics beyond the exceptional point, S. Bid and H. Schomerus, Phys. Rev. Res. 7, 023062 (2025).
11:30 Scale-resolved localisation in the information lattice - Jens H Bardarson (Department of Theoretical Physics, KTH Royal Institute of Technology, Stockholm)
Scale-resolved localisation in the information lattice
- Jens H Bardarson (Department of Theoretical Physics, KTH Royal Institute of Technology, Stockholm)
11:30 - 12:30
Room: Albano 3: 4205 - SU Conference Room (40 seats) I will explain how to use the information lattice to extract universal information about localisation in many-body states.
12:30 Lunch break
Lunch break
12:30 - 14:00
Room: Albano 3: 4205 - SU Conference Room (40 seats)
14:00 Some recent results on constrained quantum models - Achilleas Lazarides (Loughborough University)
Some recent results on constrained quantum models
- Achilleas Lazarides (Loughborough University)
14:00 - 15:00
Room: Albano 3: 4205 - SU Conference Room (40 seats) I will present some recent results on constrained many-body models, focussing on East-type and PXP-type models.
15:00 Beyond Gaussianity (Levy SYK) - Budhaditya Bhattacharjee (University of Luxembourg)
Beyond Gaussianity (Levy SYK)
- Budhaditya Bhattacharjee (University of Luxembourg)
15:00 - 16:00
Room: Albano 3: 4205 - SU Conference Room (40 seats) Gaussian disorder is used to descibe several chaotic and non-integrable properties of quantum many-body systems. Most other disorders lead to similar physical properties (especially for large systems with many degrees of freedom) due central limit effects. Going beyond Gaussian (and central limit) disorders provides an avenue for exploring physics outside Gaussian universality. Focus on uncorrelated disorder, I will present a strongly correlated quantum many body model of fermions with non-central-limit disorder. This will allow us to explore several non-Gaussian properties, such as non-maximal chaos in an otherwise maximally chaotic systems. I will also discuss a solvable limit of this model, and analyses of spectral and dynamical chaos in that. Finally, I will demonstrate emergent non-fermi liquid and spin-glass effects arising due to the disorder modification, without any structural changes in the system.
16:00 Coffee break
Coffee break
16:00 - 16:30
Room: Albano 3: 4205 - SU Conference Room (40 seats)

16:30 Topical Discussion
Topical Discussion
16:30 - 18:00
Room: Albano 3: 4205 - SU Conference Room (40 seats)

19:00 Conference dinner
Conference dinner
19:00 - 21:00
Friday, 16 October 2026
09:00 Operator entanglement in random free fermion circuits - Jerome Dubail (ISIS, CNRS)
Operator entanglement in random free fermion circuits
- Jerome Dubail (ISIS, CNRS)
09:00 - 10:00
Room: Albano 3: 4205 - SU Conference Room (40 seats)
10:00 Coffee break
Coffee break
10:00 - 10:30
Room: Albano 3: 4205 - SU Conference Room (40 seats)
10:30 The linear growth of spread complexity - Pawel Caputa (Stockholm University)
The linear growth of spread complexity
- Pawel Caputa (Stockholm University)
10:30 - 11:30
Room: Albano 3: 4205 - SU Conference Room (40 seats) I will discuss aspects of the linear growth of complexity that have motivated the study of complexity measures in high-energy theory. I will then consider a precise notion of quantum complexity, known as spread complexity, and discuss how it exhibits linear growth. I will also illustrate some of the mechanisms underlying this growth and its termination in specific examples.
11:30 Designs without disorder: How does a single Hamiltonian generate unitary k-designs? - Pratik Nandy (Vrije University Brussels)
Designs without disorder: How does a single Hamiltonian generate unitary k-designs?
- Pratik Nandy (Vrije University Brussels)
11:30 - 12:30
Room: Albano 3: 4205 - SU Conference Room (40 seats) Unitary k-designs efficiently reproduce Haar-random statistics up to the k-th moment. In this talk, we show that Hamiltonian randomness is not required: a single chaotic Hamiltonian, including deterministic local systems, can generate approximate unitary k-designs. We introduce a two-Pauli-kick (2PK) protocol, where evolution under one fixed Hamiltonian is interspersed with two Pauli kicks, with randomness arising solely from the evolution times. The resulting frame potential approaches the Haar value at long times, with finite-size deviations suppressed by the inverse Hilbert-space dimension. We demonstrate this mechanism analytically and numerically for a single realisation of random matrices, SYK models, and deterministic local quantum spin chains, establishing a simple route to unitary designs without Hamiltonian disorder.
12:30 Lunch break
Lunch break
12:30 - 14:00
Room: Albano 3: 4205 - SU Conference Room (40 seats)
14:00 Krylov-space anatomy and spread complexity of a disordered quantum spin chain - Bikram Pain (ICTS)
Krylov-space anatomy and spread complexity of a disordered quantum spin chain
- Bikram Pain (ICTS)
14:00 - 15:00
Room: Albano 3: 4205 - SU Conference Room (40 seats) We investigate the anatomy and complexity of quantum states in Krylov space, in the ergodic and many-body localized (MBL) phases of a disordered, interacting spin chain. The Krylov basis generated by the Hamiltonian from an initial state provides a representation in which the spread of the time-evolving state constitutes a basis-optimized measure of complexity. We show that the long-time Krylov spread complexity sharply distinguishes the two phases. In the ergodic regime, the infinite-time complexity scales linearly with the Fock-space dimension, indicating that the state spreads over a finite fraction of the Krylov chain. By contrast, it grows sublinearly in the MBL regime, implying that the long-time state occupies only a vanishing fraction of the chain. Further, the profile of the infinite-time state along the Krylov chain exhibits a stretched-exponential decay in the MBL regime. This behavior reflects a broad distribution of decay length scales, associated with different eigenstates contributing to the long-time state. Consistently, a large-deviation analysis of the statistics of eigenstate spread complexities shows that while the ergodic regime receives contributions from almost all eigenstates, the complexity in the MBL regime is dominated by a vanishing fraction of eigenstates, which have anomalously large complexity relative to the typical ones.
15:00 Localisation and chaos in one dimensional quantum gases - Mathias Albert (Institut de Physique de Nice - Université Côte d'Azur)
Localisation and chaos in one dimensional quantum gases
- Mathias Albert (Institut de Physique de Nice - Université Côte d'Azur)
15:00 - 16:00
Room: Albano 3: 4205 - SU Conference Room (40 seats) Understanding the emergence of transport and chaos in interacting quantum systems remains a central challenge in non-equilibrium statistical physics. In this talk, I will present recent results obtained in one-dimensional Bose gases, focusing on two complementary aspects of quantum dynamics: localization and chaos. First, I will discuss dynamical localization in periodically driven Lieb-Liniger gases. While localization persists in both the non-interacting and strongly interacting limits, finite interactions can induce a transition from a localized to a delocalized regime above a critical driving strength. This phenomenon can be understood through an exact mapping onto effective Anderson models in synthetic dimensions generated by the particle number. I will further show how combining interactions with quasiperiodic driving provides a versatile route to engineer Anderson models in arbitrary dimensions and investigate their localization transitions. In the second part, I will turn to quantum chaos in one-dimensional Bose gases. By introducing a localized impurity that breaks integrability, we uncover an unconventional form of diffraction-induced chaos characterized by random-matrix spectral statistics emerging at low energies. These results highlight the rich interplay between interactions, disorder, integrability, and chaos in low-dimensional quantum systems.
16:00 Closing remarks - Ivan Khaymovich (Stockholm University, Nordita)
Closing remarks
- Ivan Khaymovich (Stockholm University, Nordita)
16:00 - 16:15
Room: Albano 3: 4205 - SU Conference Room (40 seats)
16:15 Informal Discussions
Informal Discussions
16:15 - 18:00
Room: Albano 3: 4205 - SU Conference Room (40 seats)