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DOE OSTI · 1699452

Time operators and time crystals: self-adjointness by topology change

Nakatsugawa, Keiji·Fujii, T.·Saxena, Avadh·Tanda, Satoshi
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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 $ΡΤ$-symmetric time operator. These time operators are then used to derive several energy-time uncertainty relations.

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71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

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Nakatsugawa, Keiji, Fujii, T., Saxena, Avadh, Tanda, Satoshi. 2019-12-19. Time operators and time crystals: self-adjointness by topology change. https://doi.org/10.1088/1751-8121%2Fab3f46

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