Characterization of the quantum phase transition in a two-mode Dicke model for different cooperation numbers

Abstract

We show how the use of variational states to approximate the ground state of a system can be employed to study a multi-mode Dicke model. One of the main contributions of this work is the introduction of a not very commonly used quantity, the cooperation number, and the study of its influence on the behavior of the system, paying particular attention to the quantum phase transitions and the accuracy of the used approximations. We also show how these phase transitions affect the dependence of the expectation values of some of the observables relevant to the system and the entropy of entanglement with respect to the energy difference between atomic states and the coupling strength between matter and radiation, thus characterizing the transitions in different ways.

10 pages, 16 figures

References in corpus (5)

• Direct equivalence between quantum phase transition phenomena in radiation-matter and magnetic systems: scaling of entanglement
• Husimi distribution and phase space analysis of Dicke model quantum phase transition
• Coherent State Description of the Ground State in the Tavis-Cummings Model and its Quantum Phase Transitions
• Universal Critical Behavior in the Dicke Model
• A triple point in 3-level systems

Cited by in corpus (4)

• Two-mode Dicke model from non-degenerate polarization modes
• Quantum phases of a three-level matter-radiation interaction model using $SU(3)$ coherent states with different cooperation numbers
• Quantum phase transition of two-level atoms interacting with a finite radiation field
• Entropy of entanglement between quantum phases of a three-level matter-radiation interaction model