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Random Multipolar Driving: Tunably Slow Heating through Spectral Engineering.

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Quantum systems driven by random sequences exhibit a prethermal regime, a stable state that lasts longer with faster driving rates. This controlled stability allows for novel quantum phenomena, like discrete time crystals, to emerge.

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Area of Science:

  • Quantum Many-Body Physics
  • Driven Quantum Systems
  • Non-equilibrium Quantum Dynamics

Background:

  • Driven quantum systems can exhibit novel phenomena but are often limited by heating.
  • Understanding heating mechanisms is crucial for accessing long-lived non-equilibrium states.

Purpose of the Study:

  • To investigate heating in interacting quantum many-body systems driven by random sequences.
  • To identify conditions for realizing long-lived prethermal regimes and novel quantum phases.

Main Methods:

  • Analysis of systems driven by random sequences with n-multipolar correlations.
  • Application of Fermi's golden rule to model heating dynamics.
  • Study of the Thue-Morse sequence as a limiting case (n→∞).

Main Results:

  • A prethermal regime is found for n≥1, with lifetime algebraically dependent on the driving rate (exponent 2n+1).
  • The Thue-Morse sequence exhibits an exponentially long-lived prethermal regime.
  • The prethermal regime can host versatile non-equilibrium phases, demonstrated by a random multipolar discrete time crystal.

Conclusions:

  • Driving quantum systems with specific random sequences can lead to controllable, long-lived prethermal states.
  • The observed heating dynamics are well-described by Fermi's golden rule.
  • These findings open avenues for exploring novel non-equilibrium quantum phases and phenomena.