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Open Quantum Systems Decoherence

Generalized coherent states with shifted (displaced) arguments

arXiv
Authors: Dušan Popov

Year

2025

Paper ID

17199

Status

Preprint

Abstract Read

~2 min

Abstract Words

108

Citations

N/A

Abstract

In the paper we developed a procedure for constructing generalized coherent states with shifted argument, as a result of the action of the generalized displacement operator. This was based on the action of a pair of nonlinear ladder operators, which generate nonlinear coherent states. To examine the properties of coherent states with shifted argument, the rules of the normal operator ordering technique (DOOT) were used. The results obtained were verified for a series of particular cases, obtaining expressions consistent with those in the literature. The expressions obtained will be, among others, useful in quantum optics, e.g. for calculating the Wigner operator in the representation of coherent states.

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  • In the paper we developed a procedure for constructing generalized coherent states with shifted argument, as a result of the action of the generalized displacement operator.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2511.10285 [2] arXiv https://arxiv.org/abs/2511.10285 [3] Publisher https://arxiv.org/abs/2511.10285

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