Complex Systems and Biological Physics Seminars
# On unravelling of Lindblad equations with (some) negative rates (part 3)

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AlbaNova C4:3059 - Café Planck (AlbaNova Main Building)
### AlbaNova C4:3059 - Café Planck

#### AlbaNova Main Building

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Description

In a contribution to the Lindblad memorial volume, Brecht and Muratore-Ginanneschi discussed unravelling of Lindblad equations with (some) negative rates [1] and memory effects. Unravelling means here that that the open system evolution e.g. the Lindblad equation is obtained as an ensemble average over random evolutions of the wave function a.k.a. the stochastic wave equation technique. Earlier contributions to incorporate memory effects by Strunz, Diosi, Gisin, Tilloy and Donvil and Muratore-Ginanneschi and others are cited in [1]. I will give a summary of [1], and then go on to point out that it can be used as a part of a method to simulate the evolution of a system interacting with a harmonic bath of Ohmic spectrum at arbitrary temperature.

This is a follow-up on two previous talks (on Feb 29 and Mar 14) where I did not get to the end. This time I will hopefully get to the goal of showing how the approach allows the simulation of a system interacting with a harmonic bath of Ohmic spectrum at arbitrary bath temperature by Monte Carlo procedure i.e. by averaging over a random system evolution without memory, though with memory in a (classical) random driving force.

[1] "On the unraveling of open quantum dynamics", Brecht Donvil and Paolo Muratore-Ginanneschi, Open Sys Inf Dynamics (2023) [arXiv.org:2309.13408]