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Beyond the Spin Model Approximation for Ramsey Spectroscopy

Koller, A. P. and Beverland, M. and Gorshkov, A. V. and Rey, A. M. (2014) Beyond the Spin Model Approximation for Ramsey Spectroscopy. Physical Review Letters, 112 (12). Art. No. 123001. ISSN 0031-9007. doi:10.1103/PhysRevLett.112.123001.

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Ramsey spectroscopy has become a powerful technique for probing nonequilibrium dynamics of internal (pseudospin) degrees of freedom of interacting systems. In many theoretical treatments, the key to understanding the dynamics has been to assume the external (motional) degrees of freedom are decoupled from the pseudospin degrees of freedom. Determining the validity of this approximation—known as the spin model approximation—has not been addressed in detail. Here we shed light in this direction by calculating Ramsey dynamics exactly for two interacting spin-1/2 particles in a harmonic trap. We focus on s-wave-interacting fermions in quasi one- and two-dimensional geometries. We find that in one dimension the spin model assumption works well over a wide range of experimentally relevant conditions, but can fail at time scales longer than those set by the mean interaction energy. Surprisingly, in two dimensions a modified version of the spin model is exact to first order in the interaction strength. This analysis is important for a correct interpretation of Ramsey spectroscopy and has broad applications ranging from precision measurements to quantum information and to fundamental probes of many-body systems.

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Additional Information:© 2014 American Physical Society. Received 3 December 2013; revised manuscript received 31 January 2014; published 26 March 2014. We thank M. Foss-Feig, G. Campbell, K. Hazzard, A. Ludlow, J. von Stecher, K. O’Hara, M. Martin, and the JILA Sr clock experimental team for feedback. This work was supported by NSF-PIF, NSF JILA-PFC-1125844, NSF JQIPFC- 0822671, NSF IQIM-PFC-1125565, ARO-DARPA-OLE, AFOSR, NIST, and the Lee A. DuBridge and Gordon and Betty Moore Foundations. A. K. was supported by the Department of Defense through the NDSEG program.
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
Army Research Office (ARO)UNSPECIFIED
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
National Institute of Standards and Technology (NIST)UNSPECIFIED
Lee A. DuBridge FoundationUNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
National Defense Science and Engineering Graduate (NDSEG) FellowshipUNSPECIFIED
Defense Advanced Research Projects Agency (DARPA)UNSPECIFIED
Issue or Number:12
Classification Code:PACS: 32.30.-r, 06.30.Ft, 34.20.Cf
Record Number:CaltechAUTHORS:20140516-093442393
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:45790
Deposited By: Tony Diaz
Deposited On:16 May 2014 19:49
Last Modified:10 Nov 2021 17:16

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