|
Abstract
|
We consider a parity-deformed Jaynes–Cummings model (JCM) consisting of two
identical two-level atoms interacting with a single-mode para-Bose field in a cavity. Compared
to the standard JCM, this model introduces the action of a specific local classical field
as an external control which can be simulated through an intensity-dependent two-atom JCM
with a particular intensity-dependent function. The conservation of the total excitation number
and overall parity provides a complete number parity basis for the Hilbert space of the
system. In this basis, the matrix representation of the system’s Hamiltonian becomes block
diagonal. The corresponding eigenvalues and eigenstates of the system are then analytically
calculated by diagonalizing the block matrices. In continuum, we investigate the dynamical
evolution of some physical properties such as entanglement, atomic inversion, photon
statistics and atomic squeezing in the parity representation, with emphasis on the control
role of the local external classical fields. In addition, in the presence of the cavity decay, we
study the effect of cavity dissipation on the quantum dynamics of the system. In the ideal
case (without the cavity dissipation), we show that the initial states of the system with even–
odd parity manifest qualitatively distinct control role of the local external classical fields on
the dynamical behavior of the physical properties. In the dissipation regime, we show that
the control of local classical fields has the general effect to improve the stabilization of the
quantum properties of the system generated during the time evolution.
|