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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

classification quant-phcond-mat.dis-nncond-mat.mes-hallcond-mat.quant-gas
keywords timecrystalsdiscretebreakingconceptdomainoriginalpropositions
verification ladder T0 review T1 audit T2 compute T3 formal
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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 3 Pith papers

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

  1. The Nature of Phantom Dark Energy and its Relation to Time Crystals

    hep-th 2025-02 reject novelty 5.0 of 10

    Phantom dark energy is claimed to be, at its fundamental level, a fluid of time crystals, with the same non-canonical kinetic conditions producing both.

  2. Dark Energy from Time Crystals

    hep-ph 2025-02 conditional novelty 5.0 of 10

    A time-crystal scalar field is shown to satisfy the phantom dark energy conditions w < -1, c_s^2 > 0, and rho >= 0 inside the crystal region.

  3. Coherent and dissipative dynamics at quantum phase transitions

    cond-mat.stat-mech 2021-03 unverdicted novelty 2.0 of 10

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

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