Minimal dissipation model for bipartite quantum systems at finite temperature
arXiv:1802.05812 · doi:10.1103/PhysRevA.98.013852
Abstract
We consider the reduced dynamics in a bipartite quantum system (consisting of a central system and an intermediate environment) coupled to a heat bath at finite temperature. To describe this situation, in the simplest possible -- yet physically meaningful way, we introduce the "depolarizing heat bath" as a new minimal dissipation model. We conjecture that at sufficiently strong dissipation, any other dissipation model implemented in the form of a Markovian quantum master equation will yield the same reduced dynamics of the central system, as the minimal model. To support this conjecture, we study a two-level system coupled to an oscillator mode. For the coupling between the two parts, we consider the Jaynes-Cummings or a dephasing coupling, while the coupling to the heat bath is modeled by the quantum optical or the Caldeira-Leggett master equation (neglecting any direct coupling between central system and heat bath). We then provide ample numerical evidence, for both, model-independence and accuracy of the depolarizing heat bath model. Alongside with our study, we investigate different regimes, where the strong coupling condition leads to coherence and/or population stabilization.
arXiv commentMinor revision, References added, 9 pages, 7 figures
References in corpus (14)
- Markovian master equations for quantum thermal machines: local vs global approach
- Theory of Pseudomodes in Quantum Optical Processes
- Quantum chaos in an ion trap: the delta-kicked harmonic oscillator
- Autonomous quantum thermal machine for generating steady-state entanglement
- The smallest refrigerators can reach maximal efficiency
- Decoherence alias Loschmidt echo of the environment
- A random matrix theory of decoherence
- Quantum optical master equation for solid-state quantum emitters
- Approach to Thermal Equilibrium in the Caldeira-Leggett Model
- Quantum kicked harmonic oscillator in contact with a heat bath
- Improving coherence with nested environments
- Stabilizing coherence with nested environments: a numerical study using kicked Ising models
- A generalized fidelity amplitude for open systems
- Protecting coherence by environmental decoherence: A solvable paradigmatic model