Hidden dynamical symmetry and quantum thermodynamics from the first principles

Standard

Hidden dynamical symmetry and quantum thermodynamics from the first principles : Quantized small environment. / Gevorkyan, Ashot V.; Bogdanov, Alexander V.; Mareev, Vladimir V.

In: Symmetry, Vol. 13, No. 8, 1546, 23.08.2021.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{2998f3c924d947beafe544b1b772b5c0,

title = "Hidden dynamical symmetry and quantum thermodynamics from the first principles: Quantized small environment",

abstract = "Evolution of a self-consistent joint system (JS), i.e., a quantum system (QS) + thermal bath (TB), is considered within the framework of the Langevin–Schr{\"o}dinger (L-Sch) type equation. As a tested QS, we considered two linearly coupled quantum oscillators that interact with TB. The influence of TB on QS is described by the white noise type autocorrelation function. Using the reference differential equation, the original L-Sch equation is reduced to an autonomous form on a random space–time continuum, which reflects the fact of the existence of a hidden symmetry of JS. It is proven that, as a result of JS relaxation, a two-dimensional quantized small environment is formed, which is an integral part of QS. The possibility of constructing quantum thermodynamics from the first principles of non-Hermitian quantum mechanics without using any additional axioms has been proven. A numerical algorithm has been developed for modeling various properties and parameters of the QS and its environment.",

keywords = "Bell states, Functional integral representation, Langevin–Schr{\"o}dinger equation, Non-Hermitian quantum mechanics, Numerical simulation of the 2D Fokker-Planck equation, Open quantum system, Quantum thermodynamics, Small quantized environment, DECOHERENCE, quantum thermodynamics, small quantized environment, open quantum system, non-Hermitian quantum mechanics, EMERGENCE, functional integral representation, MECHANICS, numerical simulation of the 2D Fokker-Planck equation, Langevin-Schrodinger equation",

author = "Gevorkyan, {Ashot V.} and Bogdanov, {Alexander V.} and Mareev, {Vladimir V.}",

note = "Publisher Copyright: {\textcopyright} 2021 by the authors. Licensee MDPI, Basel, Switzerland.",

year = "2021",

month = aug,

day = "23",

doi = "10.3390/sym13081546",

language = "English",

volume = "13",

journal = "Symmetry",

issn = "2073-8994",

publisher = "MDPI AG",

number = "8",

}

RIS

TY - JOUR

T1 - Hidden dynamical symmetry and quantum thermodynamics from the first principles

T2 - Quantized small environment

AU - Gevorkyan, Ashot V.

AU - Bogdanov, Alexander V.

AU - Mareev, Vladimir V.

PY - 2021/8/23

Y1 - 2021/8/23

N2 - Evolution of a self-consistent joint system (JS), i.e., a quantum system (QS) + thermal bath (TB), is considered within the framework of the Langevin–Schrödinger (L-Sch) type equation. As a tested QS, we considered two linearly coupled quantum oscillators that interact with TB. The influence of TB on QS is described by the white noise type autocorrelation function. Using the reference differential equation, the original L-Sch equation is reduced to an autonomous form on a random space–time continuum, which reflects the fact of the existence of a hidden symmetry of JS. It is proven that, as a result of JS relaxation, a two-dimensional quantized small environment is formed, which is an integral part of QS. The possibility of constructing quantum thermodynamics from the first principles of non-Hermitian quantum mechanics without using any additional axioms has been proven. A numerical algorithm has been developed for modeling various properties and parameters of the QS and its environment.

AB - Evolution of a self-consistent joint system (JS), i.e., a quantum system (QS) + thermal bath (TB), is considered within the framework of the Langevin–Schrödinger (L-Sch) type equation. As a tested QS, we considered two linearly coupled quantum oscillators that interact with TB. The influence of TB on QS is described by the white noise type autocorrelation function. Using the reference differential equation, the original L-Sch equation is reduced to an autonomous form on a random space–time continuum, which reflects the fact of the existence of a hidden symmetry of JS. It is proven that, as a result of JS relaxation, a two-dimensional quantized small environment is formed, which is an integral part of QS. The possibility of constructing quantum thermodynamics from the first principles of non-Hermitian quantum mechanics without using any additional axioms has been proven. A numerical algorithm has been developed for modeling various properties and parameters of the QS and its environment.

KW - Bell states

KW - Functional integral representation

KW - Langevin–Schrödinger equation

KW - Non-Hermitian quantum mechanics

KW - Numerical simulation of the 2D Fokker-Planck equation

KW - Open quantum system

KW - Quantum thermodynamics

KW - Small quantized environment

KW - DECOHERENCE

KW - quantum thermodynamics

KW - small quantized environment

KW - open quantum system

KW - non-Hermitian quantum mechanics

KW - EMERGENCE

KW - functional integral representation

KW - MECHANICS

KW - numerical simulation of the 2D Fokker-Planck equation

KW - Langevin-Schrodinger equation

UR - http://www.scopus.com/inward/record.url?scp=85114039112&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/7fd6bb26-ed11-324a-b420-3c79efee009e/

U2 - 10.3390/sym13081546

DO - 10.3390/sym13081546

M3 - Article

AN - SCOPUS:85114039112

VL - 13

JO - Symmetry

JF - Symmetry

SN - 2073-8994

IS - 8

M1 - 1546

ER -

ID: 85710736

Hidden dynamical symmetry and quantum thermodynamics from the first principles: Quantized small environment

Standard

Harvard

APA

Vancouver

Author

BibTeX

RIS