Time Operators and Time Crystals
Quantum Physics
2019-06-25 v2
Abstract
We investigate time operators in the context of quantum time crystals in ring systems. A generalized commutation relation called the generalized weak Weyl relation is used to derive a class of self-adjoint time operators for ring systems with a periodic time evolution: The conventional Aharonov-Bohm time operator is obtained by taking the infinite-radius limit. Then, we discuss the connection between time operators, time crystals and real-space topology. We also reveal the relationship between our time operators and a -symmetric time operator. These time operators are then used to derive several energy-time uncertainty relations.
Cite
@article{arxiv.1711.10179,
title = {Time Operators and Time Crystals},
author = {K. Nakatsugawa and T. Fujii and A. Saxena and S. Tanda},
journal= {arXiv preprint arXiv:1711.10179},
year = {2019}
}