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      Quantum Phase Transition and Berry Phase in an Extended Dicke Model

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          Abstract

          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.

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          Author and article information

          Journal
          11 June 2020
          Article
          2006.06597
          40fca7e7-09c2-4105-8d80-1b886adfd82d

          http://creativecommons.org/licenses/by/4.0/

          History
          Custom metadata
          7 pages, 4 figures, submitted to The European Physical Journal D
          quant-ph

          Quantum physics & Field theory
          Quantum physics & Field theory

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