The Generalized Tavis—Cummings Model with Cavity Damping

Symmetry

Andrei V. Rybin¹  Nikolai M. Bogoliubov² 

[1] Department of Photonics, ITMO University, Kronwerkskii 49, 197101 St. Petersburg, Russia;St. Petersburg Branch of V.A. Steklov Institute of Mathematics of the Russian Academy of Sciences, Fontanka 27, 191023 St. Petersburg, Russia;

关键词: open quantum system;    Bethe Ansatz;    Lindblad equation;   

DOI  :  10.3390/sym13112124

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown