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

Abstract

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.

Authors:

Bentsen, Gregory ^[1]; Potirniche, Ionut-Dragos  ^[2];

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Bulchandani, Vir B. ^[2]; Scaffidi, Thomas ^[3]; Cao, Xiangyu ^[2]; Qi, Xiao-Liang ^[4]; Schleier-Smith, Monika ^[1]; Altman, Ehud ^[5]

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+ Show Author Affiliations

1. Stanford Univ., CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
2. Univ. of California, Berkeley, CA (United States)
3. Univ. of California, Berkeley, CA (United States); Univ. of Toronto, ON (Canada)
4. Stanford Univ., CA (United States)
5. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

Publication Date:

2019-10-15

Research Org.:

SLAC National Accelerator Lab., Menlo Park, CA (United States)

Sponsoring Org.:

USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

OSTI Identifier:

1570503

Alternate Identifier(s):

OSTI ID: 1574856

Grant/Contract Number:  

AC02-76SF00515; SC0019380; AC02-05CH11231

Resource Type:

Published Article

Journal Name:

Physical Review. X

Additional Journal Information:

Journal Volume: 9; Journal Issue: 4; Journal ID: ISSN 2160-3308

Publisher:

American Physical Society

Country of Publication:

United States

Language:

English

Subject:

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 74 ATOMIC AND MOLECULAR PHYSICS