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

被引：7

作者：

Chakraborty, Anwesha ^{[1
]}

Nandi, Partha ^{[1
]}

Chakraborty, Biswajit ^{[1
]}

机构：

[1] SN Bose Natl Ctr Basic Sci, Dept Theoret Sci, JD Block,Sect 3, Kolkata 700106, India

来源：

NUCLEAR PHYSICS B | 2022年 / 975卷

关键词：

COHERENT STATES; EVOLUTION;

D O I：

10.1016/j.nuclphysb.2022.115691

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

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 T is studied in Heisenberg picture to compute the expression of geometric phase-shift. (C) 2022 The Author(s). Published by Elsevier B.V.

引用

页数：27

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