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We developed a quantum model with unique chiral particles that behave like hard rods, enabling exact solutions for thermodynamics and hydrodynamics. This interacting integrable Floquet model avoids the butterfly effect, showcasing a new class of solvable quantum systems.

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Area of Science:

  • Quantum physics
  • Condensed matter theory
  • Statistical mechanics

Background:

  • Integrable models are crucial for understanding complex quantum systems.
  • Floquet systems, driven periodically, offer unique phenomena not found in static systems.
  • Topological properties in quantum matter are key to robust quantum information processing.

Purpose of the Study:

  • To construct and analyze a novel interacting integrable Floquet model.
  • To investigate the behavior of quasiparticle excitations with non-trivial topological properties.
  • To explore the exact solvability and emergent dynamics of this quantum system.

Main Methods:

  • Generalization of classical integrable cellular automata to a quantum Floquet model.
  • Solution of the Bethe equations for the generalized quantum model.
  • Analysis of quasiparticle behavior as interacting hard rods.

Main Results:

  • The model exhibits quasiparticle excitations with topologically nontrivial chiral dispersion.
  • Bethe equations simplify, allowing an exact solution analogous to hard-rod interactions.
  • Exact description of thermodynamics and hydrodynamics for interacting chiral particles.
  • Construction of operators that spread without the butterfly effect, a novel feature for interacting systems.

Conclusions:

  • This work introduces a new class of exactly solvable, interacting quantum systems.
  • The model provides a unique platform for studying quantum dynamics and emergent phenomena in Floquet settings.
  • The absence of the butterfly effect in this interacting system opens new avenues for quantum control and computation.