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Time crystals: a review

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arxiv 1704.03735 v5 pith:JLH7YCSY submitted 2017-04-12 quant-ph cond-mat.dis-nncond-mat.mes-hallcond-mat.quant-gas

Time crystals: a review

classification quant-ph cond-mat.dis-nncond-mat.mes-hallcond-mat.quant-gas
keywords timecrystalsdiscretebreakingconceptdomainoriginalpropositions
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Time crystals are time-periodic self-organized structures postulated by Frank Wilczek in 2012. While the original concept was strongly criticized, it stimulated at the same time an intensive research leading to propositions and experimental verifications of discrete (or Floquet) time crystals -- the structures that appear in the time domain due to spontaneous breaking of discrete time translation symmetry. The struggle to observe discrete time crystals is reviewed here together with propositions that generalize this concept introducing condensed matter like physics in the time domain. We shall also revisit the original Wilczek's idea and review strategies aimed at spontaneous breaking of continuous time translation symmetry.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Floquet Many-Body Cages

    quant-ph 2026-04 unverdicted novelty 7.0

    Floquet circuits can be built to host many-body cages that carry topological features and π-quasienergy modes, producing time-crystalline spatiotemporal order in models such as the quantum hard disk.

  2. Coherent and dissipative dynamics at quantum phase transitions

    cond-mat.stat-mech 2021-03 unverdicted novelty 2.0

    A review of equilibrium and dynamic scaling laws at quantum phase transitions, including quenches and dissipative effects treated as perturbations to critical regimes.