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

Autor:	Chakraborty, Anwesha, Nandi, Partha, Chakraborty, Biswajit
Rok vydání:	2021
Předmět:	High Energy Physics - Theory Quantum Physics
Zdroj:	Nucl. Phys. B, Volume 975, February 2022, 115691
Druh dokumentu:	Working Paper
DOI:	10.1016/j.nuclphysb.2022.115691
Popis:	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. Comment: 21 pages, Version 2 contains some correction
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2110.04730 Zobrazit plný text záznamu View this record from Arxiv