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We found that chaos enhances many-body dynamical tunneling between Bose-Josephson junctions. Tunneling rates fluctuate significantly with small changes in system parameters or particle number.

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Area of Science:

  • Quantum physics
  • Atomic physics
  • Condensed matter physics

Background:

  • Bose-Josephson junctions exhibit complex dynamics.
  • The interplay between chaos and quantum phenomena is a key area of research.

Purpose of the Study:

  • To investigate the influence of chaos on many-body dynamical tunneling.
  • To analyze the tunneling gap between macroscopic Schrödinger cat states in coupled Bose-Josephson junctions.

Main Methods:

  • Analysis of the classical phase space structure.
  • Studying the mixed phase space with quasi-integrable islands and a chaotic sea.
  • Investigating many-body dynamical tunneling rates.

Main Results:

  • The composite system displays a mixed phase space.
  • Many-body dynamical tunneling is enhanced by chaos.
  • Tunneling rates exhibit large fluctuations (several orders of magnitude) with minor parameter or particle number variations.

Conclusions:

  • Chaos plays a crucial role in enhancing quantum tunneling in many-body systems.
  • The system's sensitivity to parameters highlights the delicate nature of quantum states.