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.
On the phase structure of driven quantum systems
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abstract
Clean and interacting periodically driven quantum systems are believed to exhibit a single, trivial "infinite-temperature" Floquet-ergodic phase. In contrast, here we show that their disordered Floquet many-body localized counterparts can exhibit distinct ordered phases delineated by sharp transitions. Some of these are analogs of equilibrium states with broken symmetries and topological order, while others - genuinely new to the Floquet problem - are characterized by order and non-trivial periodic dynamics. We illustrate these ideas in driven spin chains with Ising symmetry.
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quant-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Spin-Induced Non-Markovian Time-Crystal-Like Dynamics and Fractal Scaling in the Bateman Dual Oscillator
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.