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Quantum Scars and Regular Eigenstates in a Chaotic Spinor Condensate.

Bertrand Evrard1, Andrea Pizzi2, Simeon I Mistakidis2,3

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Quantum many-body scars, few low-entropy states in chaotic spectra, can break ergodicity. This study connects single-particle and many-body scars in spinor condensates, revealing scarred chaotic states linked to classical orbits.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Quantum chaos

Background:

  • Quantum many-body scars are rare low-entropy eigenstates within chaotic spectra, weakly breaking ergodicity and causing oscillations.
  • Scars in quantum billiards relate to classical unstable periodic orbits, but a direct many-body connection is unclear.

Purpose of the Study:

  • To investigate the connection between single-particle and many-body scars.
  • To characterize the dynamics, spectrum, and phase space of a many-body spinor condensate for scar diagnostics.
  • To explore how collective interactions influence quantum scarring.

Main Methods:

  • Analysis of a many-body spinor condensate system.
  • Characterization of system dynamics, energy spectrum, and phase space.
  • Identification of regular and chaotic states and their properties.

Main Results:

  • Identified both regular and chaotic states within the condensate's phase space.
  • Regular states are low-entropy, violate the eigenstate thermalization hypothesis, and link to integrable Hamiltonians.
  • Chaotic states are often scarred by semiclassical unstable periodic orbits and satisfy the eigenstate thermalization hypothesis.

Conclusions:

  • Established a link between collective interactions in spinor condensates and quantum many-body scars.
  • Demonstrated that many-body scars can be associated with underlying classical dynamics.
  • Proposed an experimental verification in trapped spin-1 Bose-Einstein condensates.