Random multipolar driving: tunably slow heating through spectral engineering

• URL: http://arxiv.org/abs/2007.07301v2
• Date: Thu, 7 Jan 2021 10:53:41 GMT
• Title: Random multipolar driving: tunably slow heating through spectral engineering
• Authors: Hongzheng Zhao, Florian Mintert, Roderich Moessner and Johannes Knolle
• Abstract summary: We study heating in quantum many-body systems driven by $n-$multipolar sequences. A simple theory based on Fermi's golden exponent accounts for this behaviour. Despite the absence of periodicity in the drive, the prethermal regime can host versatile non-equilibrium phases.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Driven quantum systems may realize novel phenomena absent in static systems, but driving-induced heating can limit the time-scale on which these persist. We study heating in interacting quantum many-body systems driven by random sequences with $n-$multipolar correlations, corresponding to a polynomially suppressed low frequency spectrum. For $n\geq1$, we find a prethermal regime, the lifetime of which grows algebraically with the driving rate, with exponent ${2n+1}$. A simple theory based on Fermi's golden rule accounts for this behaviour. The quasiperiodic Thue-Morse sequence corresponds to the $n\to \infty$ limit, and accordingly exhibits an exponentially long-lived prethermal regime. Despite the absence of periodicity in the drive, and in spite of its eventual heat death, the prethermal regime can host versatile non-equilibrium phases, which we illustrate with a random multipolar discrete time crystal.

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