Dissipative phase transition in an open Tavis–Cummings model with a two-photon drive

Abstract We investigate the steady-state quantum phases and associated collective phenomena of an open Tavis–Cummings (TC) model driven by a two-photon source. The standard (non-dissipative) TC model describes the quantum phases of an ensemble of N q two-level quantum emitters interacting with a sin...

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Bibliographic Details
Published in:Journal of physics. B, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2023-07, Vol.56 (13), p.135401
Main Authors: Adhikary, Kingshuk, Müstecaplıoǧlu, Özgür E, Deb, Bimalendu
Format: Article
Language:English
Subjects:
Dicke model
dissipative phase transition
quantum phase transition
symmetry
Tavis–Cummings model
two-photon drive
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Summary:Abstract We investigate the steady-state quantum phases and associated collective phenomena of an open Tavis–Cummings (TC) model driven by a two-photon source. The standard (non-dissipative) TC model describes the quantum phases of an ensemble of N q two-level quantum emitters interacting with a single-mode electromagnetic field. The interplay among coherent driving, dissipation, and dipole interactions of the open TC model results in emergent collective phenomena, leading to a dissipative or non-equilibrium phase transition from the normal to the superradiant phase. We solve the Liouvillian equation analytically using the semi-classical mean-field approximation. We carry out stability analysis of the steady-state phases and determine the phase boundary. The use of Holstein–Primakoff transformation in the thermodynamic limit N q → ∞ reduces the system to an effective coupled-oscillator model, the solution of which yields collective modes.
ISSN:0953-4075
1361-6455
DOI:10.1088/1361-6455/acdc6e