Related papers: Non-Abelian transport distinguishes three usually equivalent notions of entropy production

Non-Abelian transport distinguishes three usually equivalent notions of entropy production

URL: http://arxiv.org/abs/2305.15480v2
Date: Sat, 28 Sep 2024 19:02:42 GMT
Title: Non-Abelian transport distinguishes three usually equivalent notions of entropy production
Authors: Twesh Upadhyaya, William F. Braasch, Jr., Gabriel T. Landi, Nicole Yunger Halpern,
Abstract summary: We extend entropy production to a deeply quantum regime involving noncommuting quantities. We quantify different physical effects of charges' noncommutation on entropy production. This work opens up thermodynamics to noncommuting - and so particularly quantum - charges.
Score: 0.0
License:
Abstract: We extend entropy production to a deeply quantum regime involving noncommuting conserved quantities. Consider a unitary transporting conserved quantities ("charges") between two systems initialized in thermal states. Three common formulae model the entropy produced. They respectively cast entropy as an extensive thermodynamic variable, as an information-theoretic uncertainty measure, and as a quantifier of irreversibility. Often, the charges are assumed to commute with each other (e.g., energy and particle number). Yet quantum charges can fail to commute. Noncommutation invites generalizations, which we posit and justify, of the three formulae. Charges' noncommutation, we find, breaks the formulae's equivalence. Furthermore, different formulae quantify different physical effects of charges' noncommutation on entropy production. For instance, entropy production can signal contextuality - true nonclassicality - by becoming nonreal. This work opens up stochastic thermodynamics to noncommuting - and so particularly quantum - charges.

Related papers

Thermodynamic uncertainty relation for quantum entropy production [0.0]
In quantum thermodynamics, entropy production is usually defined in terms of the quantum relative entropy between two states. In the absence of coherence between the states, our result reproduces classic TURs in thermodynamics.
arXiv Detail & Related papers (2024-04-28T12:36:35Z)
Thermodynamics of adiabatic quantum pumping in quantum dots [50.24983453990065]
We consider adiabatic quantum pumping through a resonant level model, a single-level quantum dot connected to two fermionic leads. We develop a self-contained thermodynamic description of this model accounting for the variation of the energy level of the dot and the tunnelling rates with the thermal baths.
arXiv Detail & Related papers (2023-06-14T16:29:18Z)
Noncommuting conserved charges in quantum thermodynamics and beyond [39.781091151259766]
How do noncommuting charges affect thermodynamic phenomena? Charges' noncommutation has been found to invalidate derivations of the thermal state's form. Evidence suggests that noncommuting charges may hinder thermalization in some ways while enhancing thermalization in others.
arXiv Detail & Related papers (2023-05-31T18:00:00Z)
On Quantum Entropy and Excess Entropy Production in a System-Environment Pure State [0.0]
We explore a recently introduced quantum thermodynamic entropy $SQ_univ$ of a pure state of a composite system-environment computational "universe" The principal focus is "excess entropy production" in which the quantum entropy change is greater than expected from the classical entropy-free energy relationship.
arXiv Detail & Related papers (2022-11-25T14:57:44Z)
Non-Abelian symmetry can increase entanglement entropy [62.997667081978825]
We quantify the effects of charges' noncommutation on Page curves. We show analytically and numerically that the noncommuting-charge case has more entanglement.
arXiv Detail & Related papers (2022-09-28T18:00:00Z)
Gauge Quantum Thermodynamics of Time-local non-Markovian Evolutions [77.34726150561087]
We deal with a generic time-local non-Markovian master equation. We define current and power to be process-dependent as in classical thermodynamics. Applying the theory to quantum thermal engines, we show that gauge transformations can change the machine efficiency.
arXiv Detail & Related papers (2022-04-06T17:59:15Z)
Quantum Entropy [0.12183405753834559]
We propose a quantum entropy that quantify the randomness of a pure quantum state via a conjugate pair of observables forming the quantum phase space. We conjecture an entropy law whereby that entropy of a closed system never decreases, implying a time arrow for particles physics.
arXiv Detail & Related papers (2021-06-29T13:04:55Z)
Catalytic Transformations of Pure Entangled States [62.997667081978825]
Entanglement entropy is the von Neumann entropy of quantum entanglement of pure states. The relation between entanglement entropy and entanglement distillation has been known only for the setting, and the meaning of entanglement entropy in the single-copy regime has so far remained open. Our results imply that entanglement entropy quantifies the amount of entanglement available in a bipartite pure state to be used for quantum information processing, giving results an operational meaning also in entangled single-copy setup.
arXiv Detail & Related papers (2021-02-22T16:05:01Z)
Temperature of a finite-dimensional quantum system [68.8204255655161]
A general expression for the temperature of a finite-dimensional quantum system is deduced from thermodynamic arguments. Explicit formulas for the temperature of two and three-dimensional quantum systems are presented.
arXiv Detail & Related papers (2020-05-01T07:47:50Z)
Entropy production in the quantum walk [62.997667081978825]
We focus on the study of the discrete-time quantum walk on the line, from the entropy production perspective. We argue that the evolution of the coin can be modeled as an open two-level system that exchanges energy with the lattice at some effective temperature.
arXiv Detail & Related papers (2020-04-09T23:18:29Z)

This list is automatically generated from the titles and abstracts of the papers in this site.