Quantum Chaos Driven by Long-Range Waveguide-Mediated Interactions

Alexander V. Poshakinskiy, Janet Zhong, and Alexander N. Poddubny
Phys. Rev. Lett. 126, 203602 – Published 21 May 2021
PDFHTMLExport Citation

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.

  • Figure
  • Figure
  • Figure
  • Figure
  • Received 27 November 2020
  • Accepted 12 April 2021

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

© 2021 American Physical Society

Physics Subject Headings (PhySH)

Nonlinear DynamicsAtomic, Molecular & OpticalGeneral Physics

Authors & Affiliations

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

Article Text (Subscription Required)

Click to Expand

Supplemental Material (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 126, Iss. 20 — 21 May 2021

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×