The Generalized Tavis—Cummings Model with Cavity Damping

In this Communication, we consider a generalised Tavis–Cummings model when the damping process is taken into account. We show that the quantum dynamics governed by a non-Hermitian Hamiltonian is exactly solvable using the Quantum Inverse Scattering Method, and the Algebraic Bethe Ansatz. The leakage...

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Autores principales:	Nikolai M. Bogoliubov, Andrei V. Rybin
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	open quantum system Bethe Ansatz Lindblad equation Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/ae3d863d1a184e95a4d5abe818258da9
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spelling	oai:doaj.org-article:ae3d863d1a184e95a4d5abe818258da92021-11-25T19:06:54ZThe Generalized Tavis—Cummings Model with Cavity Damping10.3390/sym131121242073-8994https://doaj.org/article/ae3d863d1a184e95a4d5abe818258da92021-11-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2124https://doaj.org/toc/2073-8994In this Communication, we consider a generalised Tavis–Cummings model when the damping process is taken into account. We show that the quantum dynamics governed by a non-Hermitian Hamiltonian is exactly solvable using the Quantum Inverse Scattering Method, and the Algebraic Bethe Ansatz. The leakage of photons is described by a Lindblad-type master equation. The non-Hermitian Hamiltonian is diagonalised by state vectors, which are elementary symmetric functions parametrised by the solutions of the Bethe equations. The time evolution of the photon annihilation operator is defined via a corresponding determinant representation.Nikolai M. BogoliubovAndrei V. RybinMDPI AGarticleopen quantum systemBethe AnsatzLindblad equationMathematicsQA1-939ENSymmetry, Vol 13, Iss 2124, p 2124 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	open quantum system Bethe Ansatz Lindblad equation Mathematics QA1-939
spellingShingle	open quantum system Bethe Ansatz Lindblad equation Mathematics QA1-939 Nikolai M. Bogoliubov Andrei V. Rybin The Generalized Tavis—Cummings Model with Cavity Damping
description	In this Communication, we consider a generalised Tavis–Cummings model when the damping process is taken into account. We show that the quantum dynamics governed by a non-Hermitian Hamiltonian is exactly solvable using the Quantum Inverse Scattering Method, and the Algebraic Bethe Ansatz. The leakage of photons is described by a Lindblad-type master equation. The non-Hermitian Hamiltonian is diagonalised by state vectors, which are elementary symmetric functions parametrised by the solutions of the Bethe equations. The time evolution of the photon annihilation operator is defined via a corresponding determinant representation.
format	article
author	Nikolai M. Bogoliubov Andrei V. Rybin
author_facet	Nikolai M. Bogoliubov Andrei V. Rybin
author_sort	Nikolai M. Bogoliubov
title	The Generalized Tavis—Cummings Model with Cavity Damping
title_short	The Generalized Tavis—Cummings Model with Cavity Damping
title_full	The Generalized Tavis—Cummings Model with Cavity Damping
title_fullStr	The Generalized Tavis—Cummings Model with Cavity Damping
title_full_unstemmed	The Generalized Tavis—Cummings Model with Cavity Damping
title_sort	generalized tavis—cummings model with cavity damping
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/ae3d863d1a184e95a4d5abe818258da9
work_keys_str_mv	AT nikolaimbogoliubov thegeneralizedtaviscummingsmodelwithcavitydamping AT andreivrybin thegeneralizedtaviscummingsmodelwithcavitydamping AT nikolaimbogoliubov generalizedtaviscummingsmodelwithcavitydamping AT andreivrybin generalizedtaviscummingsmodelwithcavitydamping
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The Generalized Tavis—Cummings Model with Cavity Damping

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