Pseudomodes and the corresponding transformation of the temperature-dependent bath correlation function

Abstract

In open system approaches with non-Markovian environments, the process of inserting an individual mode (denoted as "pseudomode") into the bath or extracting it from the bath is widely employed. This procedure, however, is typically performed on basis of the spectral density (SD) and does not incorporate temperature. Here, we show how the - temperature-dependent - bath correlation function (BCF) transforms in such a process. We present analytic formulae for the transformed BCF and numerically study the differences between factorizing initial state and global thermal (correlated) initial state of mode and bath, respectively. We find that in the regime of strong coupling of the mode to both system and bath, the differences in the BCFs give rise to pronounced differences in the dynamics of the system.

12 pages, 4 figures

References in corpus (19)

• Non-Markovian Quantum State Diffusion
• General non-Markovian dynamics of open quantum systems
• Environmental dynamics, correlations, and the emergence of noncanonical equilibrium states in open quantum systems
• Hierarchy of stochastic pure states for open quantum system dynamics
• Universal Markovian reduction of Brownian particle dynamics
• On the alternatives for bath correlators and spectral densities from mixed quantum-classical simulations
• Mappings of open quantum systems onto chain representations and Markovian embeddings
• Linear quantum state diffusion for non-Markovian open quantum systems
• Dynamics of open quantum systems with initial system-reservoir correlations
• Analytic Representations of Bath Correlation Functions for Ohmic and Superohmic Spectral Densities Using Simple Poles
• Decoherence in an exactly solvable qubit model with initial qubit-environment correlations
• Non-Markovian quantum state diffusion for absorption spectra of molecular aggregates
• Non-Markovian Quantum State Diffusion for Temperature-Dependent Linear Spectra of Light Harvesting Aggregates
• Role of initial system-environment correlations: A master equation approach
• Canonical versus noncanonical equilibration dynamics of open quantum systems
• Continuous Measurement of a Non-Markovian Open Quantum System
• Linear-algebraic bath transformation for simulating complex open quantum systems
• Equilibration of a dissipative quantum oscillator
• Detecting non-Markovianity from continuous monitoring

Cited by in corpus (6)

• Non-perturbative treatment of non-Markovian dynamics of open quantum systems
• Generalized theory of pseudomodes for exact descriptions of non-Markovian quantum processes
• Strong coupling effects in quantum thermal transport with the reaction coordinate method
• Non-perturbative effects in corrections to quantum master equation arising in Bogolubov-van Hove limit
• Calculating non-linear response functions for multi-dimensional electronic spectroscopy using dyadic non-Markovian quantum state diffusion
• Integral representation of finite temperature non-Markovian evolution of some RWA systems