Numerically exact open quantum systems simulations for arbitrary
environments using automated compression of environments
- URL: http://arxiv.org/abs/2101.01653v2
- Date: Thu, 26 Aug 2021 15:46:09 GMT
- Title: Numerically exact open quantum systems simulations for arbitrary
environments using automated compression of environments
- Authors: Moritz Cygorek, Michael Cosacchi, Alexei Vagov, Vollrath Martin Axt,
Brendon W. Lovett, Jonathan Keeling, and Erik M. Gauger
- Abstract summary: We present a numerically exact method for simulating open quantum systems with arbitrary environments.
Our approach automatically reduces the large number of environmental degrees of freedom to those which are most relevant.
We demonstrate the power of this method by applying it to problems with bosonic, fermionic, and spin environments.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The central challenge for describing the dynamics in open quantum systems is
that the Hilbert space of typical environments is too large to be treated
exactly. In some cases, such as when the environment has a short memory time or
only interacts weakly with the system, approximate descriptions of the system
are possible. Beyond these, numerically exact methods exist, but these are
typically restricted to baths with Gaussian correlations, such as
non-interacting bosons. Here we present a numerically exact method for
simulating open quantum systems with arbitrary environments which consist of a
set of independent degrees of freedom. Our approach automatically reduces the
large number of environmental degrees of freedom to those which are most
relevant. Specifically, we show how the process tensor -- which describes the
effect of the environment -- can be iteratively constructed and compressed
using matrix product state techniques. We demonstrate the power of this method
by applying it to problems with bosonic, fermionic, and spin environments:
electron transport, phonon effects and radiative decay in quantum dots, central
spin dynamics, anharmonic environments, dispersive coupling to time-dependent
lossy cavity modes, and superradiance. The versatility and efficiency of our
automated compression of environments (ACE) method provides a practical
general-purpose tool for open quantum systems.
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