Integrable and Chaotic Dynamics of Spins Coupled to an Optical Cavity

Bentsen, Gregory; Potirniche, Ionut-Dragos; Bulchandani, Vir B.; Scaffidi, Thomas; Cao, Xiangyu; Qi, Xiao-Liang; Schleier-Smith, Monika; Altman, Ehud

doi:10.1103/PhysRevX.9.041011

Title: Integrable and Chaotic Dynamics of Spins Coupled to an Optical Cavity

Journal Article · Tue Oct 15 00:00:00 EDT 2019 · Physical Review. X

DOI:https://doi.org/10.1103/PhysRevX.9.041011· OSTI ID:1570503

Bentsen, Gregory;

; Bulchandani, Vir B.; Scaffidi, Thomas; Cao, Xiangyu; Qi, Xiao-Liang; Schleier-Smith, Monika; Altman, Ehud

We show that a class of random all-to-all spin models, realizable in systems of atoms coupled to an optical cavity, gives rise to a rich dynamical phase diagram due to the pairwise separable nature of the couplings. By controlling the experimental parameters, one can tune between integrable and chaotic dynamics on the one hand and between classical and quantum regimes on the other hand. For two special values of a spin-anisotropy parameter, the model exhibits rational Gaudin-type integrability, and it is characterized by an extensive set of spin-bilinear integrals of motion, independent of the spin size. More generically, we find a novel integrable structure with conserved charges that are not purely bilinear. Instead, they develop “dressing tails” of higher-body terms, reminiscent of the dressed local integrals of motion found in many-body localized phases. Surprisingly, this new type of integrable dynamics found in finite-size spin-1/2 systems disappears in the large-S limit, giving way to classical chaos. We identify parameter regimes for characterizing these different dynamical behaviors in realistic experiments, in view of the limitations set by cavity dissipation.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States); SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: AC02-76SF00515; SC0019380; AC02-05CH11231

OSTI ID:: 1570503

Alternate ID(s):: OSTI ID: 1574856; OSTI ID: 1580949

Journal Information:: Physical Review. X, Journal Name: Physical Review. X Vol. 9 Journal Issue: 4; ISSN 2160-3308

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 26 works

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