On a tilted Liouville-master equation of open quantum systems

2021/01/31 by Fei Liu
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Hilbert space #Master equation #Open quantum system #Quantum #Quantum Information and Cryptography #Quantum many-body systems #Quantum master equation #Quantum operation #Quantum stochastic calculus #Space (punctuation) #cond-mat.stat-mech #math.PR

paper · pdf · doi:10.1088/1572-9494/ac0ce3

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arxiv created 2021/05/22 · openalex created_date 2021/06/07 · openalex publication_date 2021/06/21 · arxiv updated 2021/08/11 · openalex updated_date 2026/08/06

Abstract

Abstract A tilted Liouville-master equation in Hilbert space is presented for Markovian open quantum systems. We demonstrate that it is the unraveling of the tilted quantum master equation. The latter is widely used in the analysis and calculations of stochastic thermodynamic quantities in quantum stochastic thermodynamics.

Citations

• Internal consistency of fault-tolerant quantum error correction in light of rigorous derivations of the quantum Markovian limit
• Quantum jumps and entropy production
• Completely positive dynamical semigroups of N-level systems
• Quantum operation time reversal
• Entropy production along nonequilibrium quantum jump trajectories