Stochastic Wave-Function Simulation of Irreversible Emission Processes for Open Quantum Systems in a Non-Markovian Environment

Abstract

When conducting the numerical simulation of quantum transport, the main obstacle is a rapid growth of the dimension of entangled Hilbert subspace. The Quantum Monte Carlo simulation techniques, while being capable of treating the problems of high dimension, are hindered by the so-called "sign problem". In the quantum transport, we have fundamental asymmetry between the processes of emission and absorption of environment excitations: the emitted excitations are rapidly and irreversibly scattered away. Whereas only a small part of these excitations is absorbed back by the open subsystem, thus exercising the non-Markovian self-action of the subsystem onto itself. We were able to devise a method for the exact simulation of the dominant quantum emission processes, while taking into account the small backaction effects in an approximate self-consistent way. Such an approach allows us to efficiently conduct simulations of real-time dynamics of small quantum subsystems immersed in non-Markovian bath for large times, reaching the quasistationary regime. As an example we calculate the spatial quench dynamics of Kondo cloud for a bozonized Kodno impurity model.

7 pages, 3 figures, ICQT2017 Conference Proceedings; corrected a few typos; accepted for publication in the AIP Conference Proceedings journal

References in corpus (2)

• A generalized multi-polaron expansion for the spin-boson model: Environmental entanglement and the biased two-state system
• The Ohmic two-state system from the perspective of the interacting resonant level model: Thermodynamics and transient dynamics

Cited by in corpus (2)

• Information Loss Pathways in a Numerically Exact Simulation of a non-Markovian Open Quantum System
• Dressed Quantum Trajectories: Novel Approach to the non-Markovian Dynamics of Open Quantum Systems on a Wide Time Scale