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Many-Body Interference at the Onset of Chaos.

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Many-body interference in the Bose-Hubbard model shows amplified fluctuations with increasing particle indistinguishability, especially near quantum chaos. This amplification reveals initial state coherences in the eigenbasis.

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Area of Science:

  • Quantum physics
  • Many-body systems
  • Quantum chaos

Background:

  • The Bose-Hubbard model describes interacting bosons on a lattice.
  • Understanding many-body interference is crucial for quantum simulations.
  • Dynamical regimes and quantum chaos are key features of quantum systems.

Purpose of the Study:

  • To identify and characterize many-body interference signatures.
  • To investigate the role of particle indistinguishability in quantum dynamics.
  • To explain the amplification of fluctuations at the onset of quantum chaos.

Main Methods:

  • Analysis of the Bose-Hubbard model across different dynamical regimes.
  • Studying the effect of increasing particle indistinguishability.
  • Resolving exchange symmetries for partially distinguishable particles.

Main Results:

  • Many-body interference is observed across dynamical regimes.
  • Increased particle indistinguishability enhances temporal fluctuations of few-body observables.
  • A dramatic amplification of fluctuations occurs at the onset of quantum chaos.

Conclusions:

  • The amplification of fluctuations is a fingerprint of initial state coherences.
  • Exchange symmetries provide insight into the behavior of partially distinguishable particles.
  • This work clarifies the interplay between interference, indistinguishability, and quantum chaos.