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arXiv:quant-ph/0106012 · Journal of Physics A Mathematical and General

Entanglement in a squeezed two-level atom

Shigeru Furuichi, Mahmoud Abdel‐Aty

Published Aug 24, 2001• 54 citations
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Abstract

In a previous paper, we adopted the method using quantum mutual entropy to measure the degree of entanglement in the time development of the Jaynes–Cummings model. In this paper, we formulate the entanglement in the time development of the Jaynes–Cummings model with squeezed states, and then show that the entanglement can be controlled by means of squeezing.

DOI
10.1088/0305-4470/34/35/311

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In a previous paper, we adopted the method using quantum mutual entropy to measure the degree of entanglement in the time development of the Jaynes–Cummings model. In this paper, we formulate the entanglement in the time development of the Jaynes–Cummings model with squeezed states, and then show that the entanglement can be controlled by means of squeezing.
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.
The dynamics of the Jaynes-Cummings interaction of a two-level atom interacting with a single mode of the radiation field is investigated, as the state of the field is gradually changed from a coherent state to a squeezed coherent state. The effect of mild squeezing on the coherent light is shown to be striking: the photon number distribution gets localized and it peaks maximally for a particular value of squeezing. The atomic inversion retains its structure for a longer time. The mean linear entropy shows that the atom has a tendency to get disentangled from field within the collapse region and also in the revival region, for mild squeezing. These properties are absent for the case of a coherent state or for an excessively squeezed coherent state. We also elucidate a connection between these properties and the photon statistics of the mildly squeezed coherent state; these states have the minimum variance and are also maximally sub-Poissonian.
We study the squeezing for a two-level atom in the Jaynes-Cumings 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.