Generalized theory of pseudomodes for exact descriptions of
non-Markovian quantum processes
- URL: http://arxiv.org/abs/2002.09739v2
- Date: Wed, 21 Oct 2020 15:23:33 GMT
- Title: Generalized theory of pseudomodes for exact descriptions of
non-Markovian quantum processes
- Authors: Graeme Pleasance, Barry M. Garraway, Francesco Petruccione
- Abstract summary: We develop an exact framework to describe the non-Markovian dynamics of an open quantum system.
We show how expanding the system using discrete modes allows for the full inclusion of non-Markovian effects.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We develop an exact framework to describe the non-Markovian dynamics of an
open quantum system interacting with an environment modeled by a generalized
spectral density function. The approach relies on mapping the initial system
onto an auxiliary configuration, comprising the original open system coupled to
a small number of discrete modes, which in turn are each coupled to an
independent Markovian reservoir. Based on the connection between the discrete
modes and the poles of the spectral density function, we show how expanding the
system using the discrete modes allows for the full inclusion non-Markovian
effects within an enlarged open system whose dynamics is governed by an exact
Lindblad master equation. Initially we apply this result to obtain a
generalization of the pseudomode method [B. M. Garraway, Phys. Rev. A 55, 2290
(1997)] in cases where the spectral density function has a Lorentzian
structure. For many other types of spectral density function, we extend our
proof to show that an open system dynamics may be modeled physically using
discrete modes which admit a non-Hermitian coupling to the system, and for such
cases determine the equivalent master equation to no longer be of Lindblad
form. For applications involving two discrete modes, we demonstrate how to
convert between pathological and Lindblad forms of the master equation using
the techniques of the pseudomode method.
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