Exact correspondence between Renyi entropy flows and physical flows

2015/02/28 by Mohammad H. Ansari, Yuli V. Nazarov · 1 citation
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Entropy (arrow of time) #Mathematics #Non-equilibrium thermodynamics #Physics #Principle of maximum entropy #Rényi entropy #Statistical Mechanics and Entropy #Statistical physics #Statistics #Thermodynamics #cond-mat.mes-hall #cond-mat.stat-mech #quant-ph #stochastic dynamics and bifurcation

paper · pdf · doi:10.1103/physrevb.91.174307

published as Phys. Rev. B 91, 174307 (2015) · 9 pages, 5 figures

arxiv created 2015/05/29 · openalex publication_date 2015/05/29 · arxiv updated 2015/06/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present a universal relation between the flow of a Renyi entropy and the full counting statistics of energy transfers. We prove the exact relation for a flow to a system in thermal equilibrium that is weakly coupled to an arbitrary time-dependent and nonequilibrium system. The exact correspondence, given by this relation, provides a simple protocol to quantify the flows of Shannon and Renyi entropies from the measurements of energy transfer statistics.

Citations

• Entanglement entropy from charge statistics: Exact relations for noninteracting many-body systems
• Momentum-Space Entanglement Spectrum of Bosons and Fermions with Interactions
• Extracting Work from a Single Heat Bath via Vanishing Quantum Coherence
• Statistics of heat transfer in mesoscopic circuits
• Rényi entropy flows from quantum heat engines
• Inelastic interaction corrections and universal relations for full counting statistics in a quantum contact
• Renyi entropy of the XY spin chain
• Thermal Agitation of Electric Charge in Conductors
• Irreversibility and Generalized Noise
• Full counting statistics of a general quantum mechanical variable
• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Information heat engine: converting information to energy by feedback control
• Information flow in entangled quantum systems

Cited by

• Rényi entropy [wikipedia]

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