Bell Soliton in Ultra-cold Atomic Fermi Gas

Abstract

We demonstrate the existence of supersonic bell soliton in the Bardeen-Cooper-Schrieffer-Bose-Einstein condensate (BCS-BEC) crossover regime. Starting from the extended Thomas-Fermi density functional theory of superfluid order parameter, a density transformation is used to map the hydrodynamic mean field equation to a Lienard type equation. As a result, bell solitons are obtained as exact solutions, which is further verified by the numerical solution of the dynamical equation. The stability of the soliton is established and its behaviour in the entire crossover domain is obtained. It is found that, akin to the case of vortices, the bell solitons yield highest contrast in the BEC regime.

Please consider Eq.(2) of the current version as correct one instead of Eq.(2) in the previous version and Journal version

References in corpus (13)

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• Theory of ultracold Fermi gases
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• Soliton response to transient trap variations

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• Validating Simple Dynamical Simulations of the Unitary Fermi Gas
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• Investigation of Quantum Droplet: An Analytical Approach
• On Solving Cubic-Quartic Nonlinear Schrödinger Equation in a Cnoidal Trap
• Exactly solvable Gross-Pitaevskii type equations
• Signature of Supersolidity in a Driven Cubic-Quartic Nonlinear Schrödinger Equation
• Quantum Liquid in Lower Dimensions: From the perspective of Surface Tension
• Dynamics of Quantum Droplets in a Quasi-one-dimensional Framework: An Analytical Approach