Quantum chaos driven by long-range waveguide-mediated interactions

• URL: http://arxiv.org/abs/2011.11931v1
• Date: Tue, 24 Nov 2020 07:06:36 GMT
• Title: Quantum chaos driven by long-range waveguide-mediated interactions
• Authors: Alexander V. Poshakinskiy, Janet Zhong, Alexander N. Poddubny
• Abstract summary: 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.
• Score: 125.99533416395765
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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