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Rigorous Bound on Energy Absorption and Generic Relaxation in Periodically Driven Quantum Systems

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arxiv 1509.03968 v4 pith:N3TPSO2O submitted 2015-09-14 cond-mat.stat-mech cond-mat.quant-gasquant-ph

Rigorous Bound on Energy Absorption and Generic Relaxation in Periodically Driven Quantum Systems

classification cond-mat.stat-mech cond-mat.quant-gasquant-ph
keywords relaxationsystemsenergyinitiallongquantumrigoroustime
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We discuss the universal nature of relaxation in isolated many-body quantum systems subjected to global and strong periodic driving. Our rigorous Floquet analysis shows that the energy of the system remains almost constant up to an exponentially long time in frequency for arbitrary initial states and that an effective Hamiltonian obtained by a truncation of the Floquet-Magnus expansion is a quasi-conserved quantity for long time scale. These two general properties lead to intriguing classification on the initial stage of relaxation, one of which is similar to the prethermalization phenomenon in quasi-integrable systems.

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Cited by 2 Pith papers

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  1. Open-system dynamics in local Lindbladians with chaotic spectra

    quant-ph 2025-10 conditional novelty 6.0

    For local Lindbladians with Ginibre-like spectra, eigenoperator size is locked to decay rate, giving state-independent early-time purity decay and size-limited operator growth.

  2. Subsystem Thermalization and Work Statistical Characterizations of Floquet Dynamics

    quant-ph 2026-07 unverdicted novelty 4.0

    In a driven non-integrable Ising chain, subsystem reduced density matrices and work statistics both detect the frequency-dependent crossover from prethermal to infinite-temperature Floquet regimes.