Existence of quantum time crystals
Franco Strocchi, Carlo Heissenberg

TL;DR
This paper demonstrates that quantum time crystals can exist in pure phases invariant under space translation groups, providing explicit examples to support this possibility.
Contribution
It introduces the concept that quantum time crystals can exist in pure phases with specific invariance properties, supported by explicit examples.
Findings
Quantum time crystals are possible in pure phases.
Explicit examples of quantum time crystals are provided.
Quantum time crystals exhibit invariance under space translations.
Abstract
The existence of quantum time crystals is investigated and shown to be possible in pure phases defined by a state invariant under a group of space translations, as displayed by explicit examples.
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Taxonomy
TopicsCold Atom Physics and Bose-Einstein Condensates · Quantum many-body systems · Quantum chaos and dynamical systems
