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Fingerprints of the quantum space-time in time-dependent quantum mechanics: An emergent geometric phase

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arxiv 2110.04730 v3 pith:S7HPOZVA submitted 2021-10-10 hep-th quant-ph

Anwesha Chakraborty , Partha Nandi , Biswajit Chakraborty This is my paper · ORCID
classification hep-thquant-ph
keywords systemharmonicoscillatorquantumgeneralisedgeometricphasespace-time
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abstract

We show the emergence of Berry phase in a forced harmonic oscillator system placed in the quantum space-time of Moyal type, where the time 't' is also an operator. An effective commutative description of the system gives a time dependent generalised harmonic oscillator system with perturbation linear in position and momentum. The system is then diagonalised to get a generalised harmonic oscillator and then its adiabatic evolution over time-period $\mathcal{T}$ is studied in Heisenberg picture to compute the expression of geometric phase-shift.

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Cited by 1 Pith paper

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  1. Quantum Geometric Phases as a New Window on Gravitational Waves

    hep-th 2025-08 reject novelty 4.0 of 10

    A claimed new quantum geometric phase induced by low-frequency gravitational waves in an optomechanical mirror is derived, but the derivation contains algebraic inconsistencies that invalidate the predicted detectability.

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