Adiabatic Condition and Quantum Geometric Potential
Jianda Wu, Meisheng Zhao, Jianlan Chen, Yongde Zhang
TL;DR
This paper introduces a U(1)-invariant expansion theory for adiabatic processes, proposing new approximation conditions that incorporate a novel invariant called quantum geometric potential, with detailed analysis of its properties.
Contribution
It presents a new invariant quantity, quantum geometric potential, and develops a U(1)-invariant expansion theory for adiabatic processes, offering improved approximation conditions.
Findings
Quantum geometric potential (QGP) is a new invariant in time-dependent processes.
New sufficient adiabatic approximation conditions are proposed.
Detailed analysis of QGP's properties and effects.
Abstract
In this paper, we present a U(1)-invariant expansion theory of the adiabatic process. As its application, we propose and discuss new sufficient adiabatic approximation conditions. In the new conditions, we find a new invariant quantity referred as quantum geometric potential (QGP) contained in all time-dependent processes. Furthermore, we also give detailed discussion and analysis on the properties and effects of QGP.
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