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

Abstract

We propose a scheme for spin-squeezing in the orbital motion of a Bose-Einstein condensate (BEC) in a toroidal trap. A circular lattice couples two counter-rotating 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 one-axis twisting and the two-axis counter-twisting which 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.

9 pages, 6 figures, to appear in PRA

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• Shortcuts to adiabatic cat-state generation in bosonic Josephson junctions
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• Towards macroscopic spin and mechanical superposition via Rydberg interaction
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• Counterdiabatic driving in spin squeezing and Dicke state preparation
• Criticality and Spin Squeezing in the Rotational Dynamics of a BEC on a Ring Lattice
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• Optimal and near-optimal probe states for quantum metrology of number conserving two-mode bosonic Hamiltonians
• Effects of a rotating periodic lattice on coherent quantum states in a ring topology: The case of positive nonlinearity
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• Superadiabatic generation of cat states in bosonic Josephson junctions under particle losses
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• Enhancing the sensitivity of rotation in a multi-atom Sagnac interferometer
• Quantum Thermal Amplifiers with Engineered Dissipation
• Suppressing nonadiabatic transitions during adiabatic generation of highly entangled states in bosonic Josephson junctions
• Optimal Spin Squeezed Steady State induced by the dynamics of non-hermtian hamiltonians
• Rotation Sensitive Quench and Revival of Coherent Oscillations in a Ring Lattice
• Entangled Collective Spin States of Two Species Ultracold atoms in a Ring
• Stabilizer-Accelerated Quantum Many-Body Ground-State Estimation
• Subexponentially growing Hilbert space and nonconcentrating distributions in a constrained spin model
• Density correlations from analogue Hawking radiation in the presence of atom losses
• Spin squeezing an ultracold molecule
• Exact solutions and Dynamical phase transitions in the Lipkin-Meshkov-Glick model with Dual nonlinear interactions
• Asymmetric Foucault pendulum dynamics with analogies to the Lipkin-Meshkov-Glick quantum phase transitions and other quantum phenomena