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Journal of Jiangxi Normal University

The Entangled of Cavity Field and Atom in The Two-Photon Jaynes-Cummings Model and The Degree of Entanglement

Xiaoping Li

Published Jan 1, 2004• 0 citations
OpenAlex

Abstract

We present a measure for generating entangled state of atom-cavity field, which is prepared based on the two-photon Jaynes-Cummings model of atom-cavity field interaction. Through changing the interaction time, the degree of entanglement of the atom-cavity field hasa periodic change. It is shown that the quantum entanglement state will stay in the maximally entangled state for a long time when the detuning is equal to Rabi frequency.

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Chinese journal of atomic and molecular physics•Jan 1, 2004•0 citations
We present a measure for generating entangled state of atom-cavity field, which is prepared based on the two-photon Jaynes-Cummings model of atom-cavity field interaction. Through changing the interaction time, the degree of entanglement of the atom-cavity field hasa periodic change. It is shown that the quantum entanglement state will stay in the maximally entangled state for a long time when the detuning is equal to Rabi frequency.
By employing the concurrence, we investigate the dynamics of entanglement between two atoms in a double two-photon Jaynes-Cummings model when the cavity field is previously in a maximally entangled state. The influence of the atomic coherence on the time evolution of the atom-atom entanglement is examined. It is shown that the phenomenon of the sudden birth of entanglement occurs, and the atomic coherence decreases the degree of the atom-atom entanglement. Moreover, it is found that a maximally entangled two-atom state can be generated.
The interaction of a cavity field with an entangled state of atoms is studied according to the nonlinear Jaynes-Cummings model. It is shown that the properties of the cavity field depend on not only the interaction time but also the nonlinear constant. After detecting an atom of the entangled state, the cavity field will be entangled with another atom even it is far away from the cavity. It is proved that the nonclassical properties of the field state are dramatically different from those in the case of no selective measurement.
This paper considers a two-level atom interacting with two cavity modes with equal frequencies. Applying a unitary transformation, the system reduces to the analytically solvable Jaynes–Cummings model. For some particular field states, coherent and squeezed states, the transformation between the two bare bases, related by the unitary transformation, becomes particularly simple. It is shown how to generate (the highly non-classical) entangled coherent states of the two modes, both in the zero and large detuning cases. An advantage of the zero detuning case is that the preparation is deterministic and no atomic measurement is needed. For the large detuning situation, a measurement is required, leaving the field in either of two orthogonal entangled coherent states.
We investigate atom-cavity entanglement in the time evolution and the thermal entanglement in two-photon Jaynes-Cummings model by means of concurrence. The result shows that atom-cavity entangled state appears with periodicity, which decreases with the increasing coupling strength between the atom and cavity; In finite temperature, the concurrence decreases with the increasing of temperature, thermal entanglement vanishes in this Jaynes-Cummings model when system temperature reaches the critical temperature, which is proportional to the coupling strength of atom-cavity. For typical experimental data, the critical temperature is on the order of 10~(-5) K.