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Photon-mediated spin-mixing dynamics
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Paper Abstract

We analyze the dynamics of spin-mixing interactions generated by coupling spin-1 atoms to the mode of a high-finesse optical cavity. We show that the dynamics can be understood in terms of generators of the noncompact Lie group SU(1, 1) and introduce a set of SU(1, 1) coherent states which are preserved under Hamiltonian evolution. In terms of these coherent states the resulting dynamics may be interpreted as classical motion on the unit disk. We explicitly compute the trajectories of this classical motion and show that the motion is equivalent to spin-nematic squeezing in the atomic ensemble. Non-uniform coupling between the atomic ensemble and the cavity mode leads to departures from this simple behavior; we introduce a toy model that captures this non-uniformity and solve it exactly.

Paper Details

Date Published: 1 March 2019
PDF: 14 pages
Proc. SPIE 10934, Optical, Opto-Atomic, and Entanglement-Enhanced Precision Metrology, 109342P (1 March 2019); doi: 10.1117/12.2515795
Show Author Affiliations
Gregory S. Bentsen, Stanford Univ. (United States)
Emily J. Davis, Stanford Univ. (United States)
Lukas Homeier, Stanford Univ. (United States)
Avikar Periwal, Stanford Univ. (United States)
Eric Cooper, Stanford Univ. (United States)
Katherine Van Kirk, Stanford Univ. (United States)
Monika H. Schleier-Smith, Stanford Univ. (United States)


Published in SPIE Proceedings Vol. 10934:
Optical, Opto-Atomic, and Entanglement-Enhanced Precision Metrology
Selim M. Shahriar; Jacob Scheuer, Editor(s)

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