Free expansion of fermionic dark solitons in a boson-fermion mixture

Abstract

We use a time-dependent dynamical mean-field-hydrodynamic model to study the formation of fermionic dark solitons in a trapped degenerate fermi gas mixed with a Bose-Einstein condensate in a harmonic as well as a periodic optical-lattice potential. The dark soliton with a "notch" in the probability density with a zero at the minimum is simulated numerically as a nonlinear continuation of the first vibrational excitation of the linear mean-field-hydrodynamic equations, as suggested recently for pure bosons. We study the free expansion of these dark solitons as well as the consequent increase in the size of their central notch and discuss the possibility of experimental observation of the notch after free expansion.

arXiv comment14 pages, 6 figures

References in corpus (49)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Theory of Bose-Einstein condensation in trapped gases
• Dark Solitons in Bose-Einstein Condensates
• Observation of a Strongly-Interacting Degenerate Fermi Gas of Atoms
• A quasi-pure Bose-Einstein condensate immersed in a Fermi sea
• Josephson Junction Arrays with Bose-Einstein Condensates
• Watching dark solitons decay into vortex rings in a Bose-Einstein condensate
• Conversion of an Atomic Fermi Gas to a Long-Lived Molecular Bose Gas
• Two-species mixture of quantum degenerate Bose and Fermi gases
• Fermi-Bose quantum degenerate ^40 K - ^87 Rb mixture with attractive interaction
• Motion of dark solitons in trapped Bose-Einstein condensates
• Observation of Heteronuclear Feshbach Resonances in a Bose-Fermi Mixture
• Observation of Feshbach resonances between two different atomic species
• Superfluid current disruption in a chain of weakly coupled Bose-Einstein Condensates
• Fifty-fold improvement in the number of quantum degenerate fermionic atoms
• Bose-Einstein condensation dynamics from the numerical solution of the Gross-Pitaevskii equation
• Structure and stability of trapped atomic boson-fermion mixtures
• Bose-Einstein condensation dynamics in three dimensions by the pseudospectral and finite-difference methods
• Controlled Generation of Dark Solitons with Phase Imprinting
• Non-Ground-State Bose-Einstein Condensates of Trapped Atoms
• Mean-field instability of trapped dilute boson-fermion mixtures
• Stability of dark solitons in a Bose-Einstein condensate trapped in an optical lattice
• Mean-field analysis of the stability of a K-Rb Fermi-Bose mixture
• Images of the Dark Soliton in a Depleted Condensate
• Mean-field description of dynamical collapse of a fermionic condensate in a trapped boson-fermion mixture
• Quantum Dark Soliton: Non-Perturbative Diffusion of Phase and Position
• Dynamics of bright matter wave solitons in a quasi 1D Bose-Einstein condensate with a rapidly varying trap
• Generation and interaction of solitons in Bose-Einstein condensates
• Induced instability for boson-fermion mixed condensate of Alkali atoms due to attractive boson-fermion interaction
• Collective excitations in trapped boson-fermion mixtures: from demixing to collapse
• Collisionless and hydrodynamic excitations of trapped boson-fermion mixtures
• Stationary states of the Gross-Pitaevskii equation with linear counterpart
• Resonant Generation of Topological Modes in Trapped Bose Gases
• Dynamics of Bose-Einstein condensates in cigar-shaped traps
• Collective excitations of a trapped boson-fermion mixture across demixing
• Dynamical instability of a dark soliton in a quasi-one-dimensional Bose-Einstein condensate perturbed by an optical lattice
• Finite temperature effects on the collapse of trapped Bose-Fermi mixtures
• K-Rb Fermi-Bose mixtures: vortical states and sag
• Mean-field model for Josephson oscillation in a Bose-Einstein condensate on an one-dimensional optical trap
• Simple method for excitation of a Bose-Einstein condensate
• Excitation and damping of collective modes of a Bose-Einstein condensate in a one-dimensional lattice
• Collisional oscillations of trapped boson-fermion mixtures approaching collapse
• Mean-field model for the interference of matter waves from a three-dimensional optical trap
• Solitons and vortices in ultracold fermionic gases
• Josephson oscillation and induced collapse in an attractive Bose-Einstein condensate
• Expansion of a Bose-Einstein condensate formed on a joint harmonic and one-dimensional optical-lattice potentials
• Collective excitation of trapped degenerate Fermi gases
• Dynamics of quasisolitons in degenerate fermionic gases
• Matter-wave interference, Josephson oscillation and its disruption in a Bose-Einstein condensate on an optical lattice

Cited by in corpus (15)

• Dark solitons in atomic Bose-Einstein condensates: from theory to experiments
• Fermionic bright soliton in a boson-fermion mixture
• Symmetric and asymmetric solitons in linearly coupled Bose-Einstein condensates trapped in optical lattices
• One-dimensional superfluid Bose-Fermi mixture: mixing, demixing and bright solitons
• Superfluid Fermi-Fermi mixture: phase diagram, stability, and soliton formation
• Mixing-demixing in a trapped degenerate fermion-fermion mixture
• Miscibility in a degenerate fermionic mixture induced by linear coupling
• Josephson oscillation of a superfluid Fermi gas
• Mixing-demixing transition and collapse of a vortex state in a quasi-two-dimensional boson-fermion mixture
• Analogy electromagnetism-acoustics: Validation and application to local impedance active control for sound absorption
• Black soliton in a quasi-one-dimensional trapped fermion-fermion mixture
• Bright solitons and soliton trains in a fermion-fermion mixture
• Simulation of a stationary dark soliton in a trapped zero-temperature Bose-Einstein condensate
• Structure and stability of quasi-two-dimensional boson-fermion mixtures with vortex-antivortex superposed states
• Soliton appearing in boson-fermion mixture at the third order of the interaction radius