Quantum phase transition and Berry phase in an extended Dicke model

We investigate quantum phase transitions, quantum criticality, and Berry phase for the ground state of an ensemble of non-interacting two-level atoms embedded in a non-linear optical medium, coupled to a single-mode quantized electromagnetic field. The optical medium is pumped externally through a c...

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Bibliographic Details
Published in:The European physical journal. D, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2020-10, Vol.74 (10), Article 200
Main Authors: Guerra, Camilo A. Estrada, Mahecha-Gómez, Jorge, Hirsch, Jorge G.
Format: Article
Language:English
Subjects:
Applications of Nonlinear Dynamics and Chaos Theory
Atomic
Coupled modes
Electric fields
Electromagnetic fields
Mathematical models
Molecular
Optical and Plasma Physics
Order parameters
Phase transitions
Physical Chemistry
Physics
Physics and Astronomy
Quantum Information Technology
Quantum mechanics
Quantum Physics
Regular Article
Spectroscopy/Spectrometry
Spintronics
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Summary:We investigate quantum phase transitions, quantum criticality, and Berry phase for the ground state of an ensemble of non-interacting two-level atoms embedded in a non-linear optical medium, coupled to a single-mode quantized electromagnetic field. The optical medium is pumped externally through a classical electric field, so that there is a degenerate parametric amplification effect, which strongly modifies the field dynamics without affecting the atomic sector. Through a semiclassical description the different phases of this extended Dicke model are described. The quantum phase transition is characterized with the expectation values of some observables of the system as well as the Berry phase and its first derivative, where such quantities serve as order parameters. It is remarkable that the model allows the control of the quantum criticality through a suitable choice of the parameters of the non-linear optical medium, which could make possible the use of a low intensity laser to access the superradiant region experimentally. Graphical abstract
ISSN:1434-6060
1434-6079
DOI:10.1140/epjd/e2020-10332-0