Traveling Dark Solitons in Superfluid Fermi Gases

Abstract

Families of dark solitons exist in superfluid Fermi gases. The energy-velocity dispersion and number of depleted particles completely determines the dynamics of dark solitons on a slowly-varying background density. For the unitary Fermi gas we determine these relations from general scaling arguments and conservation of local particle number. We find solitons to oscillate sinusoidally at the trap frequency reduced by a factor of $1/\sqrt{3}$. Numerical integration of the time-dependent Bogoliubov-de Gennes equation determines spatial profiles and soliton dispersion relations across the BEC-BCS crossover and proves consistent with the scaling relations at unitarity.

arXiv commentSmall changes in response to referee's comments; fig 1 revised and refs updated. Cross listed to nucl-th due to interest in the unitary Fermi gas

References in corpus (13)

• Theory of ultracold Fermi gases
• Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
• Motion of dark solitons in trapped Bose-Einstein condensates
• Experimental observation of oscillating and interacting matter wave dark solitons
• Landau dynamics of a grey soliton in a trapped condensate
• Formation of Quantum Shock Waves by Merging and Splitting Bose-Einstein Condensates
• Observation of Hybrid Soliton Vortex-Ring Structures in Bose-Einstein Condensates
• From the Bogoliubov-de Gennes equations for superfluid fermions to the Gross-Pitaevskii equation for condensed bosons
• Dark solitons in a superfluid Fermi gas
• Larkin-Ovchinnikov state in resonant Fermi gas
• Solution of the Bogoliubov-de Gennes equations at zero temperature throughout the BCS-BEC crossover: Josephson and related effects
• Grey solitons in a strongly interacting superfluid Fermi Gas
• Bragg scattering of Cooper pairs in an ultra-cold Fermi gas

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• Quantized Superfluid Vortex Rings in the Unitary Fermi Gas
• Time-Dependent Density Functional Theory and the Real-Time Dynamics of Fermi Superfluids
• Dark Solitons with Majorana Fermions in Spin-Orbit-Coupled Fermi Gases
• Persistent currents with non-quantized angular momentum
• Snake instability of dark solitons in fermionic superfluids
• Chladni solitons and the onset of the snaking instability for dark solitons in confined superfluids
• Quantum Shock Waves and Domain Walls in the Real-Time Dynamics of a Superfluid Unitary Fermi Gas
• Vortex Mass in a Superfluid
• Many-Body Quantum Dynamics in the Decay of Bent Dark Solitons of Bose-Einstein Condensates
• The Snake Instability of Ring Dark Solitons in Toroidally Trapped Bose-Einstein Condensates
• Dark-Bright Solitons in a Superfluid Bose-Fermi Mixture
• Soliton-induced Majorana fermions in a one-dimensional atomic topological superfluid
• Stability and dispersion relations of three-dimensional solitary waves in trapped Bose-Einstein condensates
• Moving solitons in a one-dimensional fermionic superfluid
• Vortex Ring Dynamics in Trapped Bose-Einstein Condensates
• Quasiparticles of widely tuneable inertial mass: The dispersion relation of atomic Josephson vortices and related solitary waves
• The decay and collisions of dark solitons in superfluid Fermi gases
• Josephson oscillations and self-trapping of superfluid fermions in a double-well potential
• Dark solitons dynamics and snake instability in superfluid Fermi gases trapped by an anisotropic harmonic potential
• Proper phase imprinting method for a dark soliton excitation in a superfluid Fermi mixture
• Dark-soliton-like excitations in the Yang-Gaudin gas of attractively interacting fermions
• Traveling Majorana solitons in a one-dimensional spin-orbit coupled Fermi superfluid
• Finite temperature effective field theory for dark solitons in superfluid Fermi gases
• Snake instability of dark solitons across the BEC-BCS crossover: an effective field theory perspective
• Soliton core filling in superfluid Fermi gases with spin-imbalance
• Collective modes of a soliton train in a Fermi superfluid
• Signatures of the BCS-BEC crossover in the yrast spectra of Fermi quantum rings
• Bell Soliton in Ultra-cold Atomic Fermi Gas
• Core filling and snaking instability of dark solitons in spin-imbalanced superfluid Fermi gases
• Dark soliton collisions in superfluid Fermi gases
• Dynamical generation of solitons in one-dimensional Fermi superfluids with and without spin-orbit coupling
• Two types of dark solitons in a spin-orbit-coupled Fermi gas
• Soliton appearing in boson-fermion mixture at the third order of the interaction radius
• Crossover between snake instability and Josephson instability of dark solitons in superfluid Fermi gases
• Extension of the Ginzburg - Landau approach for ultracold Fermi gases below a critical temperature
• Coexistence of topological and nontopological Fermi-superfluid phases
• Quenched dynamics and pattern formation in clean and disordered Bogoliubov-de Gennes superconductors
• Emergence of spatial patterns and synchronization in superconducting time crystals
• Nonequilibrium Dynamics of Ultracold Fermi Superfluids
• Finding the stable mechanism of ring solitons in two-dimensional Fermi superfluids
• Motion of ferrodark solitons in trapped superfluids: spin corrections and emergent oscillators
• Swallow-tail dispersions of moving solitons in a two-dimensional fermionic superfluid
• Variational Monte Carlo study of soliton excitations in hard-sphere Bose gases