Criticality and Spin Squeezing in the Rotational Dynamics of a BEC on a Ring Lattice
arXiv:1511.02320 · doi:10.1103/PhysRevA.92.043630
Abstract
We examine the dynamics of circulating modes of a Bose-Einstein condensate confined in toroidal lattice. Nonlinearity due to interactions leads to criticality that separates oscillatory and self-trapped phases among counter-propagating modes which however share the same physical space. In the mean-field limit, the criticality is found to substantially enhance sensitivity to rotation of the system. Analysis of the quantum dynamics reveals the fluctuations near criticality are significant, that we explain using spin-squeezing formalism visualized on a Bloch sphere. We utilize the squeezing to propose a Ramsey interferometric scheme that suppresses fluctuation in the relevant quadrature sensitive to rotation.
11 pages, 9 figures (Fig. 9 resolution reduced to meet size limits)
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Cited by in corpus (11)
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- Analysis of a trapped Bose-Einstein condensate in terms of position, momentum, and angular-momentum variance
- Multiqubit matter-wave interferometry under decoherence and the Heisenberg scaling recovery
- Effects of a rotating periodic lattice on coherent quantum states in a ring topology: The case of positive nonlinearity
- Condensates in annuli: Dimensionality of the variance
- Enhancing the sensitivity of rotation in a multi-atom Sagnac interferometer
- Rotation Sensitive Quench and Revival of Coherent Oscillations in a Ring Lattice
- Entangled Collective Spin States of Two Species Ultracold atoms in a Ring
- Dynamics of azimuthal thermoacoustic modes in imperfectly symmetric annular geometries