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Exponentially Slow Heating in Periodically Driven Many-Body Systems.

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This summary is machine-generated.

We found that energy absorption in periodically driven spin and fermion systems decreases exponentially with driving frequency. This suggests that topological states in these systems can be remarkably stable over long periods.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Many-Body Systems
  • Quantum Thermodynamics

Background:

  • Periodically driven (Floquet) many-body systems are crucial for realizing novel quantum states.
  • Understanding energy absorption is key to characterizing the stability and dynamics of these systems.
  • Topological states in driven systems are often metastable, raising questions about their long-term survival.

Purpose of the Study:

  • To derive general bounds on linear response energy absorption rates in periodically driven lattice systems.
  • To investigate the dependence of energy absorption on driving frequency and system dimensionality.
  • To assess the implications for the stability of topological many-body states.

Main Methods:

  • Derivation of general theoretical bounds on energy absorption rates.
  • Analysis of systems with local interactions in various spatial dimensions.
  • Focus on linear response theory and periodically driven Hamiltonians.

Main Results:

  • Energy absorption rates exhibit an exponential decay with increasing driving frequency for local interactions.
  • This decay holds true across all spatial dimensions.
  • The derived bounds provide a quantitative understanding of energy dissipation.

Conclusions:

  • The exponential decay of energy absorption implies that topological many-body states can possess very long lifetimes, despite their inherent metastability.
  • These findings have potential applications in understanding excitation decay in cold atomic and solid-state systems.
  • The theoretical framework offers insights into the robustness of quantum states in driven environments.