Random multipolar driving: tunably slow heating through spectral engineering

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 $n\ge 1$, 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.

5+5 pages, 4+7 figures, accepted in P.R.L

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Cited by in corpus (48)

• Colloquium: Quantum and Classical Discrete Time Crystals
• Classical Prethermal Phases of Matter
• Classical approaches to prethermal discrete time crystals in one, two, and three dimensions
• Fermi's golden rule for heating in strongly driven Floquet systems
• Rigorous Bounds on the Heating Rate in Thue-Morse Quasiperiodically and Randomly Driven Quantum Many-Body Systems
• Thermalization and Prethermalization in Periodically Kicked Quantum Spin Chains
• Prethermalization and Thermalization in Periodically-Driven Many-Body Systems away from the High-Frequency Limit
• Quasi-Floquet prethermalization in a disordered dipolar spin ensemble in diamond
• Many-Body Localization with Quasiperiodic Driving
• Dynamical relaxation of correlators in periodically driven integrable quantum systems
• Out-of-Time-Order correlators in driven conformal field theories
• Suppression of heating by long-range interactions in periodically driven spin chains
• Dynamical localization and slow dynamics in quasiperiodically-driven quantum systems
• Heating Rates under Fast Periodic Driving beyond Linear Response
• Counterdiabatic Driving for Periodically Driven Systems
• Dynamical localization and slow thermalization in a class of disorder-free periodically driven one-dimensional interacting systems
• Hinge mode dynamics of periodically driven higher-order Weyl semimetals
• Localization persisting under aperiodic driving
• Prethermal nematic order and staircase heating in a driven frustrated Ising magnet with dipolar interactions
• Geometric Floquet theory
• Hilbert-Space Ergodicity in Driven Quantum Systems: Obstructions and Designs
• Experimental observation of a time rondeau crystal: Temporal Disorder in Spatiotemporal Order
• Time periodicity from randomness in quantum systems
• Anomalous Random Multipolar Driven Insulators
• Reconstructing effective Hamiltonians from nonequilibrium (pre-)thermal steady states
• Spin-driven stationary turbulence in spinor Bose-Einstein condensates
• Suppression of inter-band heating for random driving
• Prethermalization in aperiodically driven classical spin systems
• Periodically and aperiodically Thue-Morse driven long-range systems: from dynamical localization to slow dynamics
• Driven Non-Unitary Dynamics of Quantum Critical Systems
• Quasi-localization dynamics in a Fibonacci quantum rotor
• Prethermalization by Random Multipolar Driving on a 78-Qubit Superconducting Processor
• Floquet-engineered Emergent Massive Nambu-Goldstone Modes
• Prethermalization in periodically-driven nonreciprocal many-body spin systems
• Prethermalization in the PXP Model under Continuous Quasiperiodic Driving
• Engineering Hierarchical Symmetries
• Floquet prethermalization with lifetime exceeding 90s in a bulk hyperpolarized solid
• From time crystals to time quasicrystals: Exploring quasiperiodic phases in transverse field Ising chains
• Stable time rondeau crystals in dissipative many-body systems
• Effective (Floquet) Lindblad generators from spectral unwinding
• Statistical prethermalization in randomly kicked many-body classical rotor system
• Ballistic conductance with and without disorder in a boundary-driven XXZ spin chain
• Quasi-Discrete Time Crystals in the quasiperiodically driven Lipkin-Meshkov-Glick model
• Chiral Instabilities in Driven-Dissipative Quantum Liquids
• Fractionalized Prethermalization in the One-Dimensional Hubbard Model
• Topological energy pumping in a quasi-periodically driven four-level system
• Emergence of prethermal time quasicrystalline order in a quasiperiodically driven non-interacting spin chain
• Atomic Regional Superfluids in two-dimensional Moiré Time Crystals