Quantum thermo-dynamical construction for driven open quantum systems
arXiv:2012.07979 · doi:10.22331/q-2021-11-25-590
Abstract
Quantum dynamics of driven open systems should be compatible with both quantum mechanic and thermodynamic principles. By formulating the thermodynamic principles in terms of a set of postulates we obtain a thermodynamically consistent master equation. Following an axiomatic approach, we base the analysis on an autonomous description, incorporating the drive as a large transient control quantum system. In the appropriate physical limit, we derive the semi-classical description, where the control is incorporated as a time-dependent term in the system Hamiltonian. The transition to the semi-classical description reflects the conservation of global coherence and highlights the crucial role of coherence in the initial control state. We demonstrate the theory by analyzing a qubit controlled by a single bosonic mode in a coherent state.
References in corpus (15)
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
- Quantum coherence, time-translation symmetry and thermodynamics
- Extending Noether's theorem by quantifying the asymmetry of quantum states
- Non-Markovian quantum jumps
- Universal Lindblad equation for open quantum systems
- Completely Positive Post-Markovian Master Equation via a Measurement Approach
- Quantum Semi-Markov Processes
- Staying positive: going beyond Lindblad with perturbative master equations
- Dephasing-assisted Gain and Loss in Mesoscopic Quantum Systems
- Keldysh meets Lindblad: Correlated Gain and Loss in Higher-Order Perturbation Theory
- Open system dynamics from thermodynamic compatibility
- Non-Markovian dynamics under time-translation symmetry
- Periodically driven quantum open systems: Tutorial
- The asymptotics of the Touchard polynomials
Cited by in corpus (12)
- A thermodynamically consistent Markovian master equation beyond the secular approximation
- Quantum thermodynamics with fast driving and strong coupling via the mesoscopic leads approach
- Unification of the first law of quantum thermodynamics
- Nonequilibrium thermodynamics and power generation in open quantum optomechanical systems
- Non-Markovian dynamics under time-translation symmetry
- Periodically refreshed quantum thermal machines
- Catalysis in Action via Elementary Thermal Operations
- A Schmidt decomposition approach to quantum thermodynamics
- Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
- Thermodynamically consistent master equation based on subsystem eigenstates
- Thermodynamics of autonomous optical Bloch equations
- Increasing extractable work in small qubit landscapes