Berry phase in a two-atom Jaynes–Cummings model with Kerr medium

Abstract

The Jaynes-Cummings model (JCM) is an very important model for describing interaction between quantized electromagnetic fields and atoms in cavity quantum electrodynamics (QED). This model is generalized in many different direction since it predicts many novel quantum effects that can be verified by modern physics experimental technologies. In this paper, the Berry phase and entropy of the ground state for arbitrary photon number n of a two-atom Jaynes-Cummings model with Kerr like medium are investigated. It is found that there are some correspondence between their images, especially the existence of a curve in the ∆ − ε plane along which the energy, Berry phase and entropy all reach their special values. So it is available for detecting entanglement by applying Berry phase.

Quantum Fisher information of atomic system interacting with a single cavity mode in the presence of Kerr medium

“…It is assumed that an atomic system consists of two two-level atoms interacting with a single cavity mode field which is initially prepared in the Fock state . In the rotating wave approximation, the Hamiltonian which describes this system is given by 46 :where denotes to the annihilation (creation) operator of the single cavity mode, ω a and ω f are the atomic and field transition frequencies, respectively. Here χ represents the coupling of the field induced by the Kerr medium and κ is the coupling constant between the atoms and field.…”

Algebraic approach and Berry phase of a Hamiltonian with a general $SU(1,1)$ symmetry

“…The Berry phase [30] is a phase factor gained by the wavefunction after the system is transported through a closed path via adiabatic variation of parameters. Since its introduction, it has been extensively studied in several quantum systems [31][32][33]. We recently have applied the theory of the SU (1, 1) and SU (2) groups to obtain the energy spectrum, eigenfunctions and the Berry phase of some of these Quantum Optics models [34][35][36][37][38].…”

Estudio de las Funciones de Coherencia de la Luz en un Sistema Jaynes Cummings no lineal

“…La introducción del medio Kerr (material que al interactuar con radiación electromágnetica presenta un comportamiento no lineal) en el Hamiltoniano del sistema crea efectos no lineales. Una de las muchas aplicaciones de estos efectos no lineales es producir estados entrelazados, que se aplica ampliamente en información y comunicación cuántica [6][7][8][9][10]. En el trabajo de Joshi et.…”