Topic
Coherent states in mathematical physics
About: Coherent states in mathematical physics is a research topic. Over the lifetime, 732 publications have been published within this topic receiving 32024 citations.
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TL;DR: In this article, a generalization of the square integrability theorem for unitary irreducible representations of locally compact groups is presented, which covers the case of representations admitting vector coherent states, and is illustrated by an example drawn from the isochronous Galilei group.
Abstract: We derive a generalization of the well-known theorem for the square integrability of a unitary irreducible representation of a locally compact group. The generalization covers the case of representations admitting vector coherent states. The result is illustrated by an example drawn from the isochronous Galilei group. The construction yields a wide variety of coherent states, labeled by phase space points, which satisfy a resolution of the identity condition, and incorporate spin degrees of freedom.
32 citations
TL;DR: In this paper, the authors considered a type of entangled coherent states and proposed a simple deterministic scheme to generate these states that can fly freely in space, and then exploited such free-flying states to teleport certain kinds of superpositions of multimode coherent states.
Abstract: We consider a type of $(M+N)$-mode entangled coherent states and propose a simple deterministic scheme to generate these states that can fly freely in space. We then exploit such free-flying states to teleport certain kinds of superpositions of multimode coherent states. We also address the issue of manipulating size and type of entangled coherent states by means of linear optics elements only.
32 citations
TL;DR: In this article, two generalized types of the Klauder-Perelomov and Gazeau-Klauder coherent states are calculated for the models, and it is shown that the weight distribution function of the first type coherent states obeys the Poissonian and super-Poissonian statistics.
Abstract: Firstly, the solvability of some quantum models like Eckart and Rosen–Morse II are explained on the basis of the shape invariance theory. Then, two generalized types of the Klauder–Perelomov and Gazeau–Klauder coherent states are calculated for the models. By means of calculating the Mandel parameter, it is shown that the weight distribution function of the first type coherent states obeys the Poissonian and super-Poissonian statistics, however, the weight distribution function of the second type coherent states obeys the Poissonian and sub-Poissonian statistics.
32 citations
TL;DR: In this article, the authors constructed coherent states for power-law potentials using generalized Heisenberg algebra and investigated the statistical properties of these states through the evaluation of the Mandel's parameter.
32 citations
32 citations