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Chinese Journal of Quantum Electronics

Quantum properties of atoms in Tavis-Cummings model with Gaussian coupling

Wang Zhong-Chun

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

The quantum properties of atoms in double-atom Tavis-Cummings model with Gaussian atom-field coupling are studied.The influence of atomic motion perpendicularity to the axes of resonant cavity and initial states of the system on the atomic population inversion and double-atom dipole squeezing are analysed numerically.We find that the motion affects the collapse and revival of the atomic inversion,but it doesn't affect the maximun dipole squeezing.The maximun dipole squeezing can be got when the field is vacuum and the atoms are in some special entangled state at the begining.

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The quantum properties of atoms in double-atom Tavis-Cummings model with Gaussian atom-field coupling are studied.The influence of atomic motion perpendicularity to the axes of resonant cavity and initial states of the system on the atomic population inversion and double-atom dipole squeezing are analysed numerically.We find that the motion affects the collapse and revival of the atomic inversion,but it doesn't affect the maximun dipole squeezing.The maximun dipole squeezing can be got when the field is vacuum and the atoms are in some special entangled state at the begining.
The quantum properties of atoms in Gaussian coupling Tavis-Cummings model in the multi-photon transition process are studied.The influence on atomic population inversion and double-atom dipole squeezing from atomic motion,the mean photon number in initial states of the light field,number of transition photons in the multi-photon transition process are discussed with the numerical calculation method.The results show that the variation of atomic motion changes the time for effective action between atomic population inversion,double-atom dipole squeezing and fight field.The variation of number of transition photons changes oscillation amplitude and frequency of time evolution of atomic population inversion and double-atom dipole squeezing.
We investigate the entanglement time evolution of Tavis-Cummings model with Gaussian coupling by means of quantum theory.Using the numerical method,the influences of the atomic motion perpendicularity to the axes of resonant cavity and initial states of the system on the entanglement between the field and two identical atoms are discussed.The results of the studies indicate that the motion affects the entanglement.When the mean photon number increases,the Rabi frequency increases while the vibration amplitude decreases.When the atomic initial state changes,the entanglement appears the similar time evolution.
The entanglement time evolution of Tavis-Cummings model with Gaussian coupling is investi- gated.The entanglement between coherent field and two atoms is explored by using the quantum reduced entropy,and the entanglement between two atoms is studied by using Negativity entropy.Using the numer- ical method,the influences of the atomic motion perpendicularity to the axes of resonant cavity and initial states of the system on the entanglement are discussed.The results indicate that the time evolutions of the two entanglements are similar.But at the same time the stronger the entanglement between field and two atoms is,the weaker that between the two atoms is.The motion affects the entanglement.When the mean photon number increases,the Rabi frequency increases while the vibration amplitude decreases.When the atomic initial state changes,the entanglement appears similar time evolution.
The properties of entanglement evolution between field and two atoms in Gaussian coupling Tavis-Cummings model in the multi-photon transition process are studied on the quantum theory.The influence on the properties of entanglement evolution between field and two atoms from atomic motion,the mean photon number in initial states of the light field,number of transition photons in the multi-photon transition process are discussed.The results show that the variation of atomic motion changes the time for the effective action to the evolution of field entropy.Initial states of the light field affect the evolution period to field entropy.With the increasing of the number of transition photons,the oscillation frequency and the mean degree of entanglement between field and atoms become larger.
We study the properties of atoms and cavity field in the two-atom Tavis–Cummings model where the two atoms interact with each other and are also driven by an external classical field. We consider the special case that the cavity is initially in a coherent state. The atomic inversion, the average photons number and the Mandel parameter in the driven Tavis–Cummings model are given and analysed numerically. We pay special attention to the dynamical behaviour of the atoms and the cavity field modified by the external field.
Temporal evolution of atomic properties including the population inversion and quantum fluctuations of atomic dipole variables are discussed in three various variants of two-photon q-deformed Jaynes-Cummings model.With the the field initially being in three different types of q-deformed coherent states,the quantum collapse and revival effects as well as atomic diploe squeezing are studied for both on-and off-resonant atom-field interaction. Particularly, it is shown that for nonzero detuning the atomic inversion exhibits superstructures which are absent in the non-deformed Jaynes-Cummings model and the dipole squeezing may be enhanced.