Thermodynamic performance of a periodically driven harmonic oscillator correlated with the baths

Abstract

We consider a harmonic oscillator under periodic driving and coupled to two harmonic-oscillator heat baths at different temperatures. We use the thermofield transformation with chain mapping for this setup, which allows us to study the unitary evolution of the system and the baths up to a time when the periodic steady state emerges in the system. We characterize this periodic steady state, and we show that, by tuning the system and the bath parameters, one can turn this system from an engine to an accelerator or even to a heater. The possibility to study the unitary evolution of the system and baths also allows us to evaluate the steady correlations that build between the system and the baths, and correlations that grow between the baths.

arXiv comment8 pages, 6 figures. Published version

References in corpus (30)

• The Role of Relative Entropy in Quantum Information Theory
• Quantum Thermodynamics
• Heat Transport in low-dimensional systems
• The role of quantum information in thermodynamics --- a topical review
• Quantum Thermodynamics
• Fundamental aspects of steady-state conversion of heat to work at the nanoscale
• Efficient simulation of strong system-environment interactions
• Ensemble and Trajectory Thermodynamics: A Brief Introduction
• Exact mapping between system-reservoir quantum models and semi-infinite discrete chains using orthogonal polynomials
• Perspective: Quantum Thermodynamics
• Quantum Measurement Cooling
• Thermodynamics of quantum systems under dynamical control
• Mappings of open quantum systems onto chain representations and Markovian embeddings
• Non-additive dissipation in open quantum networks out of equilibrium
• Strongly coupled quantum heat machines
• Thermofield-based chain mapping approach for open quantum systems
• How to discretize a quantum bath for real-time evolution
• Nonequilibrium Steady-State Transport in Quantum Impurity Models: a Thermofield and Quantum Quench Approach using Matrix Product States
• Asymptotic Floquet states of open quantum systems: The role of interaction
• Tensor-network method to simulate strongly interacting quantum thermal machines
• Out-of-equilibrium operation of a quantum heat engine: The cost of thermal coupling control
• Violation of TUR in a periodically driven work-to-work converter from weak to strong dissipation
• Environmental non-additivity and Franck-Condon physics in non-equilibrium quantum systems
• Many-body open quantum systems beyond Lindblad master equations
• Interplay of different environments in open quantum systems: Breakdown of the additive approximation
• Steady state quantum transport through an anharmonic oscillator strongly coupled to two heat reservoirs
• Nonequilibrium Kondo effect in a magnetic field: Auxiliary master equation approach
• Optimal energy conversion through anti-adiabatic driving breaking time-reversal symmetry
• Stable-unstable transition for a Bose-Hubbard chain coupled to an environment
• Quantum Critical Probing and Simulation of Colored Quantum Noise