Spin squeezing by tensor twisting and Lipkin-Meshkov-Glick dynamics in a toroidal Bose-Einstein condensate with spatially modulated nonlinearity

Tomáš Opatrný, Michal Kolář, and Kunal K. Das
Phys. Rev. A 91, 053612 – Published 15 May 2015

Abstract

We propose a scheme for spin squeezing in the orbital motion of a Bose-Einstein condensate in a toroidal trap. A circular lattice couples two counterrotating modes and squeezing is generated by the nonlinear interaction spatially modulated at half the lattice period. By varying the amplitude and phase of the modulation, various cases of the twisting tensor can be directly realized, leading to different squeezing regimes. These include the one-axis twisting and two-axis countertwisting that are often discussed as the most important paradigms for spin squeezing. Our scheme naturally realizes the Lipkin-Meshkov-Glick model with the freedom to vary all its parameters simultaneously.

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  • Received 21 September 2014

DOI:https://doi.org/10.1103/PhysRevA.91.053612

©2015 American Physical Society

Authors & Affiliations

Tomáš Opatrný1, Michal Kolář1, and Kunal K. Das2

  • 1Optics Department, Faculty of Science, Palacký University, 17 Listopadu 12, 77146 Olomouc, Czech Republic
  • 2Department of Physical Sciences, Kutztown University of Pennsylvania, Kutztown, Pennsylvania 19530, USA

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Issue

Vol. 91, Iss. 5 — May 2015

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