Nonclassical properties of a deformed atom-cavity field state

Abstract

We analyze here a nonclassical state produced by an atom-cavity field interaction. The two-level atom is passed through the single-mode electromagnetic cavity field. By deforming the field operators and introducing nonlinearity to the classic Jaynes-Cummings model, we explore the system in respect of a nonlinear Hamiltonian. Assuming that the atom is in an excited state and the field is in a coherent state initially, the analytic expression for the state vector of the entire system state vector is obtained. With the help of the derived state vector, we calculate the photon number distribution, Mandel's $Q_M$ parameter, Wigner function, anti-bunching, squeezing properties and $Q$ function etc.

arXiv comment14 pages, 6 figures

References in corpus (9)

• Quantum information with continuous variables
• f-Oscillators and Nonlinear Coherent States
• Vacuum-Stimulated Raman Scattering based on Adiabatic Passage in a High-Finesse Optical Cavity
• Nonlinear Jaynes-Cummings model of atom-field interaction
• Generation of a superposition of multiple mesoscopic states of radiation in a resonant cavity
• Quasiprobability distributions in open quantum systems: spin-qubit systems
• Nonclassicality of photon-added-then-subtracted and photon-subtracted-then-added states
• Nonlinear displaced Kerr state and its nonclassical properties
• Enhancement of non-Gaussianity and nonclassicality of photon added displaced Fock state: A quantitative approach

Cited by in corpus (3)

• Nonclassicality in a dispersive atom-cavity field interaction in presence of an external driving field
• Dynamics of atom-field interaction inside a nonlinear Kerr-like medium filled optical cavity
• Nonclassicality and sub-Planck structures of photon subtracted compass states