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Real-space mean-field theory of a spin-1 Bose gas in synthetic dimensions

Hurst, Hilary M. and Wilson, Justin H. and Pixley, J.H. and Spielman, I. B. and Natu, Stefan S. (2016) Real-space mean-field theory of a spin-1 Bose gas in synthetic dimensions. Physical Review A, 94 (6). Art. No. 063613. ISSN 2469-9926. PMCID PMC5335740. doi:10.1103/PhysRevA.94.063613.

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The internal degrees of freedom provided by ultracold atoms provide a route for realizing higher dimensional physics in systems with limited spatial dimensions. Nonspatial degrees of freedom in these systems are dubbed “synthetic dimensions.” This connection is useful from an experimental standpoint but complicated by the fact that interactions alter the condensate ground state. Here we use the Gross-Pitaevskii equation to study the ground-state properties of a spin-1 Bose gas under the combined influence of an optical lattice, spatially varying spin-orbit coupling, and interactions at the mean-field level. The associated phases depend on the sign of the spin-dependent interaction parameter and the strength of the spin-orbit field. We find “charge”- and spin-density-wave phases which are directly related to helical spin order in real space and affect the behavior of edge currents in the synthetic dimension. We determine the resulting phase diagram as a function of the spin-orbit coupling and spin-dependent interaction strength, considering both attractive (ferromagnetic) and repulsive (polar) spin-dependent interactions, and we provide a direct comparison of our results with the noninteracting case. Our findings are applicable to current and future experiments, specifically with ^(87)Rb, ^7Li, ^(41)K, and ^(23)Na.

Item Type:Article
Related URLs:
URLURL TypeDescription CentralArticle Paper
Wilson, Justin H.0000-0001-6903-0417
Pixley, J.H.0000-0002-3109-640X
Natu, Stefan S.0000-0002-2249-6364
Additional Information:© 2016 American Physical Society. Received 9 August 2016; published 15 December 2016. We would like to thank William Cole and Sankar Das Sarma for useful discussions as well as collaborations on related work. This work was partially supported by the NSF through the PFC at the JQI via the PFC seed grant “Emergent phenomena in interacting spin-orbit coupled gases” (H.M.H., J.H.P., S.S.N.) for support, JQI-NSF-PFC, LPS-MPO-CMTC, and Microsoft Q (J.H.P. and S.S.N.). H.M.H. acknowledges additional fellowship support from the National Physical Science Consortium and NSA. Additional support was provided by the ARO's (Army Research Office) Atomtronics MURI and by the AFOSR's Quantum Matter MURI, NIST, and the NSF through the PFC at the JQI (I.B.S., J.H.W.).
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
University of MarylandUNSPECIFIED
National Physical Science ConsortiumUNSPECIFIED
Army Research Office (ARO)UNSPECIFIED
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
National Institute of Standards and Technology (NIST)UNSPECIFIED
Issue or Number:6
PubMed Central ID:PMC5335740
Record Number:CaltechAUTHORS:20161215-160213154
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Official Citation:Real-space mean-field theory of a spin-1 Bose gas in synthetic dimensions Hilary M. Hurst, Justin H. Wilson, J. H. Pixley, I. B. Spielman, and Stefan S. Natu Phys. Rev. A 94, 063613
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:72868
Deposited By: Tony Diaz
Deposited On:16 Dec 2016 00:20
Last Modified:06 Apr 2022 19:43

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