This seminar reviews recent work on Spin-Holstein models using trapped-ion systems [1], demonstrating their capability to simulate electron-phonon interactions and phenomena such as charge-density wave order and fermion pairing. Additionally, it provides an introduction to non-Gaussian variational states with generalized canonical transformations [2], which improve the description of strong entanglement and correlations. Finally, some ideas for future work will be discussed.
[1] Knörzer, Johannes, Tao Shi, Eugene Demler, and J. Ignacio Cirac. 2022. “Spin-Holstein Models in Trapped-Ion Systems.” Physical Review Letters 128 (12): 120404. https://doi.org/10.1103/PhysRevLett.128.120404.
[2] Shi, Tao, Eugene Demler, and J. Ignacio Cirac. 2018. “Variational Study of Fermionic and Bosonic Systems with Non-Gaussian States: Theory and Applications.” Annals of Physics 390 (March):245–302. https://doi.org/10.1016/j.aop.2017.11.014.