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Quantum Chaos Driven by Long-Range Waveguide-Mediated Interactions

Alexander V. Poshakinskiy1, Janet Zhong2, and Alexander N. Poddubny1,2,*

  • 1Ioffe Institute, St. Petersburg 194021, Russia
  • 2Nonlinear Physics Centre, Research School of Physics, Australian National University, Canberra ACT 2601, Australia

  • *Corresponding author. poddubny@coherent.ioffe.ru
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Phys. Rev. Lett. 126, 203602 – Published 21 May, 2021

DOI: https://doi.org/10.1103/PhysRevLett.126.203602

Abstract

We study theoretically quantum states of a pair of photons interacting with a finite periodic array of two-level atoms in a waveguide. Our calculation reveals two-polariton eigenstates that have a highly irregular wave function in real space. This indicates the Bethe ansatz breakdown and the onset of quantum chaos, in stark contrast to the conventional integrable problem of two interacting bosons in a box. We identify the long-range waveguide-mediated coupling between the atoms as the key ingredient of chaos and nonintegrability. Our results provide new insights in the interplay between order, chaos, and localization in many-body quantum systems and can be tested in state-of-the-art setups of waveguide quantum electrodynamics.

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Phys. Rev. Lett. 126, 203602– Published 21 May, 2021
  • Received 27 November 2020
  • Accepted 12 April 2021
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