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Open Quantum Systems Decoherence

Extended Coherent States

arXiv
Authors: Z. M. McIntyre, A. Kasman, R. Milson

Year

2025

Paper ID

17862

Status

Preprint

Abstract Read

~2 min

Abstract Words

85

Citations

N/A

Abstract

Using the formalism of Maya diagrams and ladder operators, we describe the algebra of annihilating operators for the class of rational extensions of the harmonic oscillator. This allows us to construct the corresponding coherent state in the sense of Barut and Girardello. The resulting time-dependent function is an exact solution of the time-dependent Schrödinger equation and a joint eigenfunction of the algebra of annihilators. Using an argument based on Schur functions, we also show that the newly exhibited coherent states asymptotically minimize position-momentum uncertainty.

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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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  • Using the formalism of Maya diagrams and ladder operators, we describe the algebra of annihilating operators for the class of rational extensions of the harmonic oscillator.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2510.26338 [2] arXiv https://arxiv.org/abs/2510.26338 [3] Publisher https://arxiv.org/abs/2510.26338

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