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Open Quantum Systems Decoherence
Time Operators and Time Crystals
arXiv
Authors: K. Nakatsugawa, T. Fujii, A. Saxena, S. Tanda
Year
2017
Paper ID
24861
Status
Preprint
Abstract Read
~2 min
Abstract Words
95
Citations
N/A
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 mathcal{PT}-symmetric time operator. These time operators are then used to derive several energy-time uncertainty relations.
Why This Paper Matters
- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
- It adds a 2017 reference point for readers tracking recent quantum research.
- We investigate time operators in the context of quantum time crystals in ring systems.
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