Snake instability of dark solitons across the BEC-BCS crossover: an effective field theory perspective

Abstract

In the present article the snake instability mechanism for dark solitons in superfluid Fermi gases is studied in the context of a recently developed effective field theory [Eur. Phys. J. B 88, 122 (2015)]. This theoretical treatment has proven to be suitable to study stable dark solitons in quasi-1D setups across the BEC-BCS crossover. In this manuscript the nodal plane of the stable soliton solution is perturbed by adding a transverse modulation. The numerical solution of the system of coupled nonlinear differential equations describing the amplitude of the perturbation leads to the instability spectra which are calculated for a wide range of interaction regimes and compared to other theoretical predictions. The maximum transverse size that the atomic cloud can have in order to preserve the stability is estimated, and the effects of spin-imbalance on this critical length are examined, revealing a stabilization of the soliton with increasing imbalance.

References in corpus (12)

• Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
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• Controlling the transverse instability of dark solitons and nucleation of vortices by a potential barrier
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• Temperature dependence of the pair coherence and healing lengths for a fermionic superfluid throughout the BCS-BEC crossover
• Stable, mobile, dark-in-bright, dipolar Bose-Einstein condensate soliton
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• Collective modes of a soliton train in a Fermi superfluid
• Core filling and snaking instability of dark solitons in spin-imbalanced superfluid Fermi gases

Cited by in corpus (10)

• Many-Body Quantum Dynamics in the Decay of Bent Dark Solitons of Bose-Einstein Condensates
• Suppressed solitonic cascade in spin-imbalanced superfluid Fermi gas
• Rotating quantum turbulence in the unitary Fermi gas
• Dynamics and stabilization of bright soliton stripes in the hyperbolic-dispersion nonlinear Schrödinger equation
• Shapiro steps in strongly-interacting Fermi gases
• Two-dimensional composite solitons in a spin-orbit-coupled Fermi gas in free space
• Dark soliton collisions in superfluid Fermi gases
• Crossover between snake instability and Josephson instability of dark solitons in superfluid Fermi gases
• Dark solitons in the unitary Bose gas
• Vortices in Fermi gases with spin-dependent rotation potentials