Rey, A. M. and Gorshkov, A. V. and Kraus, C. V. and Martin, M. J. and Bishof, M. and Swallows, M. D. and Zhang, X. and Benko, C. and Ye, J. and Lemke, N. D. and Ludlow, A. D. (2014) Probing many-body interactions in an optical lattice clock. Annals of Physics, 340 (1). pp. 311-351. ISSN 0003-4916. doi:10.1016/j.aop.2013.11.002. https://resolver.caltech.edu/CaltechAUTHORS:20140211-101349722
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Abstract
We present a unifying theoretical framework that describes recently observed many-body effects during the interrogation of an optical lattice clock operated with thousands of fermionic alkaline earth atoms. The framework is based on a many-body master equation that accounts for the interplay between elastic and inelastic p-wave and s-wave interactions, finite temperature effects and excitation inhomogeneity during the quantum dynamics of the interrogated atoms. Solutions of the master equation in different parameter regimes are presented and compared. It is shown that a general solution can be obtained by using the so called Truncated Wigner Approximation which is applied in our case in the context of an open quantum system. We use the developed framework to model the density shift and decay of the fringes observed during Ramsey spectroscopy in the JILA (^87)Sr and NIST (^171)Yb optical lattice clocks. The developed framework opens a suitable path for dealing with a variety of strongly-correlated and driven open-quantum spin systems.
Item Type: | Article | ||||||||||||||||||||||||||
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Additional Information: | © 2013 Elsevier Inc. Received 26 October 2013; Accepted 4 November 2013; Available online 13 November 2013. The authors thank K.R.A. Hazzard, M. Foss-Feig, A. Koller, M. Beverland, J. Bollinger, J. von Stecher, A. Polkovnikov and A.J. Daley for numerous conversations and feedback. This work has been supported by AFOSR, NIST, NSF (JILA-PFC-1125844, JQI-PFC-1125565, IQIM-PFC, and PIF), ARO (individual investigator award), ARO with funding for the DARPA-OLE, DARPA QuASAR, and the NDSEG, Lee A. DuBridge and Gordon and Betty Moore foundations. | ||||||||||||||||||||||||||
Group: | Institute for Quantum Information and Matter | ||||||||||||||||||||||||||
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Subject Keywords: | Atomic clocks; Optical lattice; Collisions | ||||||||||||||||||||||||||
Issue or Number: | 1 | ||||||||||||||||||||||||||
DOI: | 10.1016/j.aop.2013.11.002 | ||||||||||||||||||||||||||
Record Number: | CaltechAUTHORS:20140211-101349722 | ||||||||||||||||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20140211-101349722 | ||||||||||||||||||||||||||
Official Citation: | Rey, A. M., Gorshkov, A. V., Kraus, C. V., Martin, M. J., Bishof, M., Swallows, M. D., . . . Ludlow, A. D. (2014). Probing many-body interactions in an optical lattice clock. Annals of Physics, 340(1), 311-351. doi: http://dx.doi.org/10.1016/j.aop.2013.11.002 | ||||||||||||||||||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||||||||||||||
ID Code: | 43773 | ||||||||||||||||||||||||||
Collection: | CaltechAUTHORS | ||||||||||||||||||||||||||
Deposited By: | INVALID USER | ||||||||||||||||||||||||||
Deposited On: | 11 Feb 2014 18:58 | ||||||||||||||||||||||||||
Last Modified: | 10 Nov 2021 16:43 |
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