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Realizing Exactly Solvable SU(N) Magnets with Thermal Atoms

Beverland, Michael E. and Alagic, Gorjan and Martin, Michael J. and Koller, Andrew P. and Rey, Ana M. and Gorshkov, Alexey V. (2016) Realizing Exactly Solvable SU(N) Magnets with Thermal Atoms. Physical Review A, 93 (5). Art. No. 051601. ISSN 1050-2947. PMCID PMC6604830. doi:10.1103/PhysRevA.93.051601.

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We show that n thermal fermionic alkaline-earth-metal atoms in a flat-bottom trap allow one to robustly implement a spin model displaying two symmetries: the S_n symmetry that permutes atoms occupying different vibrational levels of the trap and the SU(N) symmetry associated with N nuclear spin states. The symmetries make the model exactly solvable, which, in turn, enables the analytic study of dynamical processes such as spin diffusion in this SU(N) system. We also show how to use this system to generate entangled states that allow for Heisenberg-limited metrology. This highly symmetric spin model should be experimentally realizable even when the vibrational levels are occupied according to a high-temperature thermal or an arbitrary nonthermal distribution.

Item Type:Article
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URLURL TypeDescription Material CentralArticle Paper
Beverland, Michael E.0000-0003-0954-4509
Gorshkov, Alexey V.0000-0003-0509-3421
Additional Information:© 2016 American Physical Society. Received 7 September 2014; revised manuscript received 15 October 2015; published 6 May 2016. We thank S. Jordan, J. Haah, J. Preskill, K. Hazzard, G. Campbell, E. Tiesinga, and D. Barker for discussions. M.E.B. and A.V.G. acknowledge the Centro de Ciencias de Benasque Pedro Pascual for its hospitality. This work was supported by NSF IQIM-PFC-1125565, NSF JQI-PFC-0822671, NSF JQI-PFC-1430094, NSF JILA-PFC-1125844, NSF-PIF, NIST, ARO, ARL, ARO-DARPA-OLE, AFOSR, AFOSR MURI, and the Lee A. DuBridge and Gordon and Betty Moore foundations. A.P.K. was supported by the Department of Defense through the NDSEG program.
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
National Institute of Standards and Technology (NIST)UNSPECIFIED
Army Research Office (ARO)UNSPECIFIED
Army Research Laboratory (ARL)UNSPECIFIED
Defense Advanced Research Projects Agency (DARPA)UNSPECIFIED
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Lee A. DuBridge FoundationUNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
National Defense Science and Engineering Graduate (NDSEG) FellowshipUNSPECIFIED
Issue or Number:5
PubMed Central ID:PMC6604830
Record Number:CaltechAUTHORS:20140929-150521417
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Official Citation:Realizing exactly solvable SU(N) magnets with thermal atoms Michael E. Beverland, Gorjan Alagic, Michael J. Martin, Andrew P. Koller, Ana M. Rey, and Alexey V. Gorshkov Phys. Rev. A 93, 051601(R)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:50106
Deposited By: Ruth Sustaita
Deposited On:30 Sep 2014 14:42
Last Modified:13 May 2022 00:27

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