System-reservoir theory with anharmonic baths: a perturbative approach

Abstract

In this paper we present a study of a general system coupled to a reservoir consisting of nonlinear oscillators, based on perturbation theory at the classical level. We extend the standard Zwanzig approach of elimination of bath degrees of freedom order by order in perturbation. We observe that the Fluctuation Dissipation Relation (FDR) in its standard form for harmonic baths gets modified due to the nonlinearity and this is manifested through higher powers of kBT in the expression for two-time noise correlation.As an aside, we also observe that the first moment of the noise arising from a nonlinear bath can be non-zero, even in absence of any external drive, if the reservoir potential is asymmetric with respect to one of its minima, about which one builds up the perturbation theory.

References in corpus (2)

• Fluctuation-Dissipation: Response Theory in Statistical Physics
• On the second fluctuation--dissipation theorem for nonequilibrium baths

Cited by in corpus (10)

• The modified Langevin description for probes in a nonlinear medium
• Partition-free approach to open quantum systems in harmonic environments: an exact stochastic Liouville equation
• Quantum Otto cycle under strong coupling
• A unified picture of strong coupling stochastic thermodynamics and time reversals
• The induced motion of a probe coupled to a bath with random resettings
• Beating the House: Fast Simulation of Dissipative Quantum Systems with Ensemble Rank Truncation
• Dynamical fluctuations of a tracer coupled to active and passive particles
• Harmonic chain driven by active Rubin bath: transport properties and steady-state correlations
• Ultrastrong coupling limit to quantum mean force Gibbs state for anharmonic environment
• A Strongly Coupled Open System with Non-linear Bath: Fluctuation-Dissipation and Langevin Dynamics