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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:
 [1]; ORCiD logo [2];  [2];  [3];  [2];  [4];  [1];  [5]
  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:
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

Citation Formats

Bentsen, Gregory, Potirniche, Ionut-Dragos, Bulchandani, Vir B., Scaffidi, Thomas, Cao, Xiangyu, Qi, Xiao-Liang, Schleier-Smith, Monika, and Altman, Ehud. Integrable and Chaotic Dynamics of Spins Coupled to an Optical Cavity. United States: N. p., 2019. Web. doi:10.1103/physrevx.9.041011.
Bentsen, Gregory, Potirniche, Ionut-Dragos, Bulchandani, Vir B., Scaffidi, Thomas, Cao, Xiangyu, Qi, Xiao-Liang, Schleier-Smith, Monika, & Altman, Ehud. Integrable and Chaotic Dynamics of Spins Coupled to an Optical Cavity. United States. doi:10.1103/physrevx.9.041011.
Bentsen, Gregory, Potirniche, Ionut-Dragos, Bulchandani, Vir B., Scaffidi, Thomas, Cao, Xiangyu, Qi, Xiao-Liang, Schleier-Smith, Monika, and Altman, Ehud. Tue . "Integrable and Chaotic Dynamics of Spins Coupled to an Optical Cavity". United States. doi:10.1103/physrevx.9.041011.
@article{osti_1570503,
title = {Integrable and Chaotic Dynamics of Spins Coupled to an Optical Cavity},
author = {Bentsen, Gregory and Potirniche, Ionut-Dragos and Bulchandani, Vir B. and Scaffidi, Thomas and Cao, Xiangyu and Qi, Xiao-Liang and Schleier-Smith, Monika and Altman, Ehud},
abstractNote = {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.},
doi = {10.1103/physrevx.9.041011},
journal = {Physical Review. X},
number = 4,
volume = 9,
place = {United States},
year = {2019},
month = {10}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/physrevx.9.041011

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