Quantum Chaos Driven by Long-Range Waveguide-Mediated Interactions

Alexander V. Poshakinskiy, Janet Zhong, Alexander N. Poddubny

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Article number203602
JournalPhysical review letters
Issue number20
StatePublished - 21 May 2021
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)


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