A system-only two-point measurement framework delivers exact fluctuation relations for work and heat in open quantum systems along with Jarzynski corrections, recovering prior results for closed systems and holding exactly for pure decoherence.
Kurchan, A quantum fluctuation theorem (2001), arXiv:cond-mat/0007360 [cond-mat.stat-mech]
7 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
We consider a quantum system strongly driven by forces that are periodic in time. The theorem concerns the probability $P(e)$ of observing a given energy change $e$ after a number of cycles. If the system is thermostated by a (quantum) thermal bath, $e$ is the total amount of energy transferred to the bath, while for an isolated system $e$ is the increase in energy of the system itself. Then, we show that $P(e)/P(-e)=e^{\beta e}$, a parameter-free, model-independent relation.
representative citing papers
Develops a non-equilibrium Caldeira-Leggett model using squeezed and displaced Gaussian reservoirs to study work, heat statistics, and thermodynamic symmetries via modified Keldysh contour techniques.
Numerical optimization uncovers discontinuous switching and multi-step optimal protocols for minimizing dissipation and fluctuations in open quantum systems beyond slow and rapid regimes.
Temperature fluctuations modeled by a new stochastic differential equation produce N^{-1} corrections to the Jarzynski equality and prevent mesoscopic Carnot engines from reaching ideal efficiency even in the quasi-static limit.
The manuscript consolidates and extends prior invited articles into a self-contained reference on open quantum systems, emphasizing structural insights from C*-algebras, KMS states, non-equilibrium steady states, and competing notions of quantum entropy production.
A review of response theory formalism for isolated quantum fields emphasizing causality, functional techniques, and fluctuation-dissipation relations.
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A system-only two-point measurement framework delivers exact fluctuation relations for work and heat in open quantum systems along with Jarzynski corrections, recovering prior results for closed systems and holding exactly for pure decoherence.
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Quantum thermodynamics of the Caldeira-Leggett model with non-equilibrium Gaussian reservoirs
Develops a non-equilibrium Caldeira-Leggett model using squeezed and displaced Gaussian reservoirs to study work, heat statistics, and thermodynamic symmetries via modified Keldysh contour techniques.
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Optimal Control to Minimize Dissipation and Fluctuations in Open Quantum Systems Beyond Slow and Rapid Regimes
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The manuscript consolidates and extends prior invited articles into a self-contained reference on open quantum systems, emphasizing structural insights from C*-algebras, KMS states, non-equilibrium steady states, and competing notions of quantum entropy production.
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