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arXiv · 2110.04730

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

Anwesha Chakraborty·Partha Nandi·Biswajit Chakraborty
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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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Anwesha Chakraborty, Partha Nandi, Biswajit Chakraborty. 2021-10-10. Fingerprints of the quantum space-time in time-dependent quantum mechanics: An emergent geometric phase. https://doi.org/10.1016/j.nuclphysb.2022.115691

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