Related papers: W entropy in hard-core system

W entropy in hard-core system

URL: http://arxiv.org/abs/2210.00179v1
Date: Sat, 1 Oct 2022 03:24:10 GMT
Title: W entropy in hard-core system
Authors: Putuo Guo and Yang Yu
Abstract summary: In quantum mechanics the evolution of quantum states is symmetrical about time-reversal, resulting in a contradiction between thermodynamic entropy and quantum entropy. We study the W entropy, which is calculated from the probability distribution of the wave function on Wannier basis, in hard-core boson system.
Score: 5.156535834970047
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: As predicted by the second law of thermodynamics, the increase of entropy is irreversible in time. However, in quantum mechanics the evolution of quantum states is symmetrical about time-reversal, resulting a contradiction between thermodynamic entropy and quantum entropy. We study the W entropy, which is calculated from the probability distribution of the wave function on Wannier basis, in hard-core boson system. We find that W entropy and F entropy, which is calculated from the probability distribution of the wave function on Fock basis, satisfy an approximately linear relationship and have the same trend. Then, we investigate the evolution of W entropy for various parameters. We calculate the regression period of W entropy and find its dependence on the lattice scale. Our results show that the second law of thermodynamics is not completely valid in quantum mechanics. The behaviour of W entropy obeys the second law of thermodynamics, only when the system scale is large enough.

Related papers

Coherence manipulation in asymmetry and thermodynamics [44.99833362998488]
In the classical regime, thermodynamic state transformations are governed by the free energy. In the quantum regime, coherence and free energy are two independent resources. We show that allowing along with a source of free energy allows us to amplify any quantum coherence present in the quantum state arbitrarily.
arXiv Detail & Related papers (2023-08-24T14:18:19Z)
Testing the Quantum of Entropy [0.0]
It is clarified when it is possible to speak about a quantum of entropy, given by the Boltzmann constant k, and about a lower entropy limit $S geq k ln 2$.
arXiv Detail & Related papers (2023-07-19T11:34:54Z)
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)
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)
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)
Thermodynamics from relative entropy [0.0]
We find that the principle of maximum entropy can be replaced by a principle of minimum expected relative entropy. Various ensembles and their thermodynamic potentials can be defined through relative entropy.
arXiv Detail & Related papers (2020-04-28T14:03:15Z)
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.