aqora

Solution of the master equation for quantum systems weakly coupled to reservoirs and far from thermal equilibrium

Hermann Haken

The European Physical Journal AAug 1, 19747 citations

Thermodynamics of Quantum Systems Under Dynamical Control

David Gelbwaser-Klimovsky, Wolfgang Niedenzu, Gershon Kurizki

arXiv:1503.01195Advances in atomic, molecular, and optical physicsJan 1, 2015171 citations

Quantum-trajectory approach to the stochastic thermodynamics of a forced harmonic oscillator

Jordan M. Horowitz

I formulate a quantum stochastic thermodynamics for the quantum trajectories of a continuously monitored forced harmonic oscillator coupled to a thermal reservoir. Consistent trajectory-dependent definitions are introduced for work, heat, and entropy, through engineering the thermal reservoir from a sequence of two-level systems. Within this formalism the connection between irreversibility and entropy production is analyzed and confirmed by proving a detailed fluctuation theorem for quantum trajectories. Finally, possible experimental verifications are discussed.I formulate a quantum stochastic thermodynamics for the quantum trajectories of a continuously monitored forced harmonic oscillator coupled to a thermal reservoir. Consistent trajectory-dependent definitions are introduced for work, heat, and entropy, through engineering the thermal reservoir from a sequence of two-level systems. Within this formalism the connection between irreversibility and entropy production is analyzed and confirmed by proving a detailed fluctuation theorem for quantum trajectories. Finally, possible experimental verifications are discussed.

arXiv:1111.7199Physical Review EMar 9, 2012152 citations

Thermodynamics of Open Quantum Systems

Juliette Monsel

Springer thesesJan 1, 20200 citations

Lower Bound on Irreversibility in Thermal Relaxation of Open Quantum Systems

Tan Van Vu, Yoshihiko Hasegawa

We consider the thermal relaxation process of a quantum system attached to single or multiple reservoirs. Quantifying the degree of irreversibility by entropy production, we prove that the irreversibility of the thermal relaxation is lower bounded by a relative entropy between the unitarily evolved state and the final state. The bound characterizes the state discrepancy induced by the nonunitary dynamics, and thus reflects the dissipative nature of irreversibility. Intriguingly, the bound can be evaluated solely in terms of the initial and final states and the system Hamiltonian, thereby providing a feasible way to estimate entropy production without prior knowledge of the underlying coupling structure. This finding refines the second law of thermodynamics and reveals a universal feature of thermal relaxation processes.We consider the thermal relaxation process of a quantum system attached to single or multiple reservoirs. Quantifying the degree of irreversibility by entropy production, we prove that the irreversibility of the thermal relaxation is lower bounded by a relative entropy between the unitarily evolved state and the final state. The bound characterizes the state discrepancy induced by the nonunitary dynamics, and thus reflects the dissipative nature of irreversibility. Intriguingly, the bound can be evaluated solely in terms of the initial and final states and the system Hamiltonian, thereby providing a feasible way to estimate entropy production without prior knowledge of the underlying coupling structure. This finding refines the second law of thermodynamics and reveals a universal feature of thermal relaxation processes.

arXiv:2102.07348Physical Review LettersNov 1, 202124 citations

Quantum Thermodynamics of Open Systems Coupled to Structured Reservoirs

Radek Růžička, Zora Nemec, Filip Bartos

Dec 25, 20240 citations

Irreversible Thermodynamics for Quantum Systems Weakly Coupled To Thermal Reservoirs

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