Introduces a Hermitian entropy-production operator equal to Belavkin-Staszewski relative entropy that obeys exact fluctuation theorems for quantum forward-reverse pairs defined via Petz retrodiction.
Jarzynski Relations for Quantum Systems and Some Applications
7 Pith papers cite this work. Polarity classification is still indexing.
7
Pith papers citing it
abstract
We derive quantum analogues of Jarzynski's relations, and discuss two applications, namely, a derivation of the law of entropy increase for general compound systems, and a preliminary analysis of heat transfer between two quantum systems at different temperatures. We believe that the derivation of the law of entropy increase is new and of importance.
representative citing papers
Coherence enables anomalous work extraction in qubit gate dynamics via negative Kirkwood-Dirac quasiprobabilities, with a compositional relation connecting circuit-level work statistics to individual gates.
Numerical optimization uncovers discontinuous switching and multi-step optimal protocols for minimizing dissipation and fluctuations in open quantum systems beyond slow and rapid regimes.
Real-time EFT expresses work distribution functions for a driven thermal bath plus qubit in terms of the quasiparticle spectral function, yielding second-order results that favor spin/topological qubits for work extraction.
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.
A review of response theory formalism for isolated quantum fields emphasizing causality, functional techniques, and fluctuation-dissipation relations.
citing papers explorer
-
A quantum entropy production operator
Introduces a Hermitian entropy-production operator equal to Belavkin-Staszewski relative entropy that obeys exact fluctuation theorems for quantum forward-reverse pairs defined via Petz retrodiction.
-
Quantum Coherence and Anomalous Work Extraction in Qubit Gate Dynamics
Coherence enables anomalous work extraction in qubit gate dynamics via negative Kirkwood-Dirac quasiprobabilities, with a compositional relation connecting circuit-level work statistics to individual gates.
-
Optimal Control to Minimize Dissipation and Fluctuations in Open Quantum Systems Beyond Slow and Rapid Regimes
Numerical optimization uncovers discontinuous switching and multi-step optimal protocols for minimizing dissipation and fluctuations in open quantum systems beyond slow and rapid regimes.
-
Work Statistics via Real-Time Effective Field Theory: Application to Work Extraction from Thermal Bath with Qubit Coupling
Real-time EFT expresses work distribution functions for a driven thermal bath plus qubit in terms of the quasiparticle spectral function, yielding second-order results that favor spin/topological qubits for work extraction.
-
Temperature fluctuations in mesoscopic systems
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.
-
Response theory for quantum fields in isolation
A review of response theory formalism for isolated quantum fields emphasizing causality, functional techniques, and fluctuation-dissipation relations.
- Quantum advantage from negativity of a work quasiprobability distribution