Machine learning time-local generators of open quantum dynamics
- URL: http://arxiv.org/abs/2101.08591v1
- Date: Thu, 21 Jan 2021 13:10:01 GMT
- Title: Machine learning time-local generators of open quantum dynamics
- Authors: Paolo P. Mazza, Dominik Zietlow, Federico Carollo, Sabine Andergassen,
Georg Martius, Igor Lesanovsky
- Abstract summary: In the study of closed many-body quantum systems one is often interested in the evolution of a subset of degrees of freedom.
In the simplest case the evolution of the reduced state of the system is governed by a quantum master equation with a time-independent, i.e. Markovian, generator.
Here we are interested in understanding to which extent a neural network function approximator can predict open quantum dynamics from an underlying unitary dynamics.
- Score: 18.569079917372736
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In the study of closed many-body quantum systems one is often interested in
the evolution of a subset of degrees of freedom. On many occasions it is
possible to approach the problem by performing an appropriate decomposition
into a bath and a system. In the simplest case the evolution of the reduced
state of the system is governed by a quantum master equation with a
time-independent, i.e. Markovian, generator. Such evolution is typically
emerging under the assumption of a weak coupling between the system and an
infinitely large bath. Here, we are interested in understanding to which extent
a neural network function approximator can predict open quantum dynamics -
described by time-local generators - from an underlying unitary dynamics. We
investigate this question using a class of spin models, which is inspired by
recent experimental setups. We find that indeed time-local generators can be
learned. In certain situations they are even time-independent and allow to
extrapolate the dynamics to unseen times. This might be useful for situations
in which experiments or numerical simulations do not allow to capture long-time
dynamics and for exploring thermalization occurring in closed quantum systems.
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