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Title: Probing many-body interactions in an optical lattice clock

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 {sup 87}Sr and NIST {sup 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. -- Highlights: •Derived a theoretical framework that describes many-body effects in a lattice clock. •Validated the analysis with recent experimental measurements. •Demonstrated the importance of beyond mean field corrections in the dynamics.
Authors:
 [1] ;  [2] ;  [3] ;  [4] ;  [1] ;  [5] ; ; ; ; ;  [1] ; ;  [6]
  1. JILA, NIST and University of Colorado, Department of Physics, Boulder, CO 80309 (United States)
  2. Joint Quantum Institute, NIST and University of Maryland, Department of Physics, College Park, MD 20742 (United States)
  3. Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, A-6020 Innsbruck (Austria)
  4. (Austria)
  5. (United States)
  6. National Institute of Standards and Technology, Boulder, CO 80305 (United States)
Publication Date:
OSTI Identifier:
22224292
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics (New York); Journal Volume: 340; Journal Issue: 1; Other Information: Copyright (c) 2013 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; APPROXIMATIONS; ATOMIC CLOCKS; ATOMS; EXCITATION; FERMIONS; INTERACTIONS; MANY-BODY PROBLEM; MATHEMATICAL SOLUTIONS; MEAN-FIELD THEORY; NUCLEAR DECAY; P WAVES; S WAVES; SPECTROSCOPY; SPIN; STRONTIUM 87; TEMPERATURE DEPENDENCE; YTTERBIUM 171