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Open Quantum Systems Decoherence

Geometric Origin of the Non-Adiabaticity Parameter and Self-Limiting Instability in Driven Nonlinear Systems

arXiv
Authors: A. M. Tishin

Year

2026

Paper ID

63660

Status

Preprint

Abstract Read

~2 min

Abstract Words

100

Citations

N/A

Abstract

We establish that the non-adiabaticity parameter has a direct geometric interpretation as the instantaneous evolution speed of a driven quantum state in projective Hilbert space under the Fubini Study metric. In contrast to conventional asymptotic approaches, the proposed framework provides a strictly local geometric criterion that allows non-adiabatic instability and its nonlinear suppression to be evaluated continuously at each stage of the driven evolution. We further show that an occupation-dependent nonlinear regulator Usuppresses the effective geometric evolution speed, leading to bounded low-occupancy dynamics. The resulting crossover parameter provides a compact criterion for self-limited non-adiabatic instability in driven nonlinear bosonic systems.

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  • We establish that the non-adiabaticity parameter has a direct geometric interpretation as the instantaneous evolution speed of a driven quantum state in projective Hilbert...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2605.22796 [2] arXiv https://arxiv.org/abs/2605.22796 [3] Publisher https://arxiv.org/abs/2605.22796

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