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Physica Scripta

Entropy squeezing of a Jaynes–Cummings atom with the Glauber–Lachs state

Hünkar Kayhan

Published Sep 8, 2011• 4 citations
Publisher

Abstract

In this paper, we investigate the entropy squeezing of a two-level atom interacting with a quantum field prepared initially in the Glauber–Lachs state by using the Jaynes–Cummings model. We explore the effects of increasing the intensity of the thermal field over a fixed intensity of the coherent field on the entropy squeezing of the atom. We show that increasing the number of thermal photons in the coherent field has a destructive effect on the entropy squeezing of the atom.

DOI
10.1088/0031-8949/84/04/045401

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In this paper, we investigate the entropy squeezing of a two-level atom interacting with a quantum field prepared initially in the Glauber–Lachs state by using the Jaynes–Cummings model. We explore the effects of increasing the intensity of the thermal field over a fixed intensity of the coherent field on the entropy squeezing of the atom. We show that increasing the number of thermal photons in the coherent field has a destructive effect on the entropy squeezing of the atom.
The information entropy squeezing properties of the atom interacting with the Glauber-Lachs state in multi-photon Jaynes-Cummings model are studied by means of the full quantum theory.The influences of the mean number of the coherent photons,the average number of the thermal photons,the number of the transition photons and the atomic initial state on the information entropy squeezing of the atom are discussed.The results indicate that there is no entropy squeezing in the Xcomponent of information entropy of the atom at any instant of the time evolution of the system.But there exists an entropy squeezing in the Ycomponent of information entropy of the atom during the time evolution when the mean number of coherent photons takes an appropriate value.The mean number of thermal photons and the number of the transition photons have a destructive effect on the Ycomponent of information entropy of the atom.The atomic initial state has no effect on the entropy squeezing in the Ycomponent of information entropy of the atom.If the number of the transition photons equals to two,the time evolution of the entropy squeezing factor appears periodic change.
We study the squeezing for a two-level atom in the Jaynes-Cummings model with intensity-dependent coupling using quantum information entropy and examine the influences of the initial state of the system on the squeezed component number and direction of the information entropy squeezing. Our results show that, the squeezed component number depends on the atomic initial distribution angle, while the squeezed direction is determined by both the phases of the atom and the field for the information entropy squeezing. Quantum information entropy is shown to be a remarkable precision measure for atomic squeezing.
Abstract Using relative entropy of coherence, we study the atomic coherence (AC) in the nonresonant Jaynes–Cummings model, when the atom is initially prepared in an incoherent mixed state and the quantized field is in a thermocoherent (Glauber–Lachs) state. The influence of the increasing average number of thermal photons, average number of coherent photons and detuninig parameter on the AC are examined, separately in detail. We found that increasing the mean number of thermal (coherent) photons over a fixed mean number of the coherent (thermal) field has a destructive (constructive) effect on the AC. In addition, we see that the increment of detuning parameter leads to decrement of AC. Remarkably, we observe that in the particular case of thermal field, the AC cannot be created.
The dynamics of the Jaynes-Cummings interaction of a two-level atom interacting with a single mode of a radiation field prepared in a Glauber-Lachs state is investigated to study the development of seemingly chaotic oscillations of the atomic inversion from a regular collapse-and-revival phenomenon, as the field statistics is changed from the coherent state to the thermal state. The effect of thermal photons on the coherent light is shown to be striking: Both the photon distribution as well as the atomic inversion are highly sensitive to even a very small addition of thermal photons to an initially coherent radiation field. We also compare the collapse and revival occurring in the micromaser case with the Glauber-Lachs version of the Jaynes-Cummings model.