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Quantum Time Crystals

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arxiv 1202.2539 v2 pith:X2ZHJS5K submitted 2012-02-12 quant-ph cond-mat.othercond-mat.supr-con

Quantum Time Crystals

classification quant-ph cond-mat.othercond-mat.supr-con
keywords timequantumaroundbreakingclosedcrystalsdifficultiesdiscussed
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Difficulties around the idea of spontaneous breaking of time translation symmetry in a closed quantum mechanical system are identified, and then overcome in a simple model. The possibility of ordering in imaginary time is also discussed.

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Cited by 5 Pith papers

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

  1. Spin-Induced Non-Markovian Time-Crystal-Like Dynamics and Fractal Scaling in the Bateman Dual Oscillator

    quant-ph 2026-05 unverdicted novelty 5.5

    Spin-induced Bateman dual-oscillator dynamics yields non-Markovian reduced-subsystem oscillations claimed as time-crystal-like order without external drive, plus fractal scaling.

  2. Spin-Induced Fractal Time-Crystal-Like Dynamics and Non-Markovian Memory in the Bateman Dual Oscillator

    hep-th 2026-06 unverdicted novelty 5.0

    Spin-induced noncommutativity in the Bateman oscillator yields discrete scaling covariance in amplified and damped modes, producing self-similar evolution and history-dependent non-Markovian reduced dynamics.

  3. Spin-Induced Non-Markovian Time-Crystal-Like Dynamics and Fractal Scaling in the Bateman Dual Oscillator

    quant-ph 2026-05 unverdicted novelty 5.0

    Spin-induced deformation in the Bateman dual oscillator framework yields non-Markovian reduced dynamics with persistent oscillations and fractal scaling that mimic time crystals in a globally unitary quantum system.

  4. Spin-Induced Non-Markovian Time-Crystal-Like Dynamics and Fractal Scaling in the Bateman Dual Oscillator

    quant-ph 2026-05 unverdicted novelty 5.0

    Spin-induced deformation creates a Bateman dual oscillator whose reduced non-Markovian dynamics produces time-crystal-like ordering and fractal scaling in a closed quantum system.

  5. On prethermal time crystals from semi-holography

    hep-th 2025-12 unverdicted novelty 5.0

    Semi-holographic systems with perturbative and holographic sectors exhibit prethermal time crystals through dissipationless modes in hydrodynamic channels plus short-wavelength instabilities that produce inhomogeneiti...