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Trapped Ion Quantum Computing

Exact State Evolution and Energy Spectrum in Solvable Bosonic Models

arXiv

Authors: Valery Shchesnovich

Year

2025

Paper ID

50873

Status

Preprint

Abstract Read

~2 min

Abstract Words

112

Citations

Abstract

Solvable bosonic models provide a fundamental framework for describing light propagation in nonlinear media, including optical down-conversion processes that generate squeezed states of light and their higher-order generalizations. In quantum optics a central objective is to determine the time evolution of a given initial state. Exact analytic solution to the state-evolution problem is presented, applicable to a broad class of solvable bosonic models and arbitrary initial states. Moreover, the characteristic equation governing the energy spectrum is derived and the eigenstates are found in the form of continued fractions and as the principal minors of the associated Jacobi matrix. The results provide a solid analytical framework for discussion of exactly solvable bosonic models.

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Solvable bosonic models provide a fundamental framework for describing light propagation in nonlinear media, including optical down-conversion processes that generate squeezed...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2510.20046 [2] arXiv https://arxiv.org/abs/2510.20046 [3] Publisher https://arxiv.org/abs/2510.20046

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