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Discrete Time Crystals in the spin-s Central Spin Model

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arxiv 2505.13207 v1 pith:5MY5UFCW submitted 2025-05-19 quant-ph cond-mat.quant-gascond-mat.stat-mech

classification quant-phcond-mat.quant-gascond-mat.stat-mech
keywords centralspincrystalsdiscretedtcsho-dtcsmodelspin-s
verification ladder T0 review T1 audit T2 compute T3 formal
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We propose periodic driving protocols to realize discrete time crystals (DTCs) in a spin-s central spin model. Interestingly, we identify parameter regimes, where eternal period-doubling and higher-order(HO)-DTCs can be realized, even for finite-sized systems. We have determined the dependence of the DTC order on the number of satellite spins and the central spin value, s. Intriguingly, we find that certain classes of HO-DTCs produce a series of maximally entangled Bell cat and super-cat states during their dynamical evolution. Finally, we demonstrate that the HO-DTCs can be employed for quantum-enhanced multiparameter sensing at the Heisenberg limit.

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Cited by 4 Pith papers

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

  1. Higher-order discrete time crystals and enhanced sensing in a quantum kicked top

    quant-ph 2025-10 reject novelty 6.0 of 10

    A p=2 kicked-top Floquet system is claimed to host a robust 4-DTC phase at p=π/2, violating the previously proposed q≤p bound for higher-order time crystals.

  2. Power-law-graded Ising Interactions Stabilize Time Crystals Realizing Quantum Energy Storage and Sensing

    quant-ph 2025-08 unverdicted novelty 6.0 of 10

    Power-law-graded Ising interactions stabilize discrete time crystals in Floquet-driven spin-1/2 chains, yielding superlinear energy storage as a quantum battery and superextensive quantum Fisher information for timing...

  3. Coexistence of inequivalent time-crystalline orders in a Floquet collective spin system

    quant-ph 2025-12 conditional novelty 5.0 of 10

    In a Lipkin–Meshkov–Glick spin model driven with different field strengths in two halves, distinct discrete time-crystal orders (2T and 6T) can coexist in the two spatial regions.

  4. Discrete time crystal order in spin chains enabled by Floquet flat bands

    cond-mat.stat-mech 2026-03 reject novelty 4.0 of 10

    A flat-band drive that freezes spin dynamics for half each period, followed by a global spin flip, is claimed to produce period-doubling time-crystal order in clean spin chains—but the stated parameters yield only a π...

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