Faraday waves in collisionally inhomogeneous Bose-Einstein condensates
arXiv:1402.2560 · doi:10.1103/PhysRevA.89.023609
Abstract
We study the emergence of Faraday waves in cigar-shaped collisionally inhomogeneous Bose-Einstein condensates subject to periodic modulation of the radial confinement. Considering a Gaussian-shaped radially inhomogeneous scattering length, we show through extensive numerical simulations and detailed variational treatment that the spatial period of the emerging Faraday waves increases as the inhomogeneity of the scattering length gets weaker, and that it saturates once the width of the radial inhomogeneity reaches the radial width of the condensate. In the regime of strongly inhomogeneous scattering lengths, the radial profile of the condensate is akin to that of a hollow cylinder, while in the weakly inhomogeneous case the condensate is cigar-shaped and has a Thomas-Fermi radial density profile. Finally, we show that when the frequency of the modulation is close to the radial frequency of the trap, the condensate exhibits resonant waves which are accompanied by a clear excitation of collective modes, while for frequencies close to twice that of the radial frequency of the trap, the observed Faraday waves set in forcefully and quickly destabilize condensates with weakly inhomogeneous two-body interactions.
11 pages, 5 figures, references updated
References in corpus (18)
- Collective excitations of a degenerate gas at the BEC-BCS crossover
- C programs for solving the time-dependent Gross-Pitaevskii equation in a fully anisotropic trap
- Spontaneous symmetry breaking in a nonlinear double-well structure
- Collective excitation of a Bose-Einstein condensate by modulation of the atomic scattering length
- Gap solitons in Bose-Einstein condensates in linear and nonlinear optical lattices
- Transmission of matter wave solitons through nonlinear traps and barriers
- Faraday waves in binary non-miscible Bose-Einstein condensates
- Detecting phonons and persistent currents in toroidal Bose-Einstein condensates by means of pattern formation
- Nonlinear Bose-Einstein-condensate Dynamics Induced by a Harmonic Modulation of the s-wave Scattering Length
- Soliton oscillations in collisionally inhomogeneous attractive Bose-Einstein condensates
- Faraday patterns in coupled one-dimensional dipolar condensates
- Numerical simulation code for self-gravitating Bose-Einstein condensates
- Faraday waves in quasi-one-dimensional superfluid Fermi-Bose mixtures
- Delocalizing transition in one-dimensional condensates in optical lattices due to inhomogeneous interactions
- Faraday waves in elongated superfluid fermionic clouds
- Super Bloch oscillations with modulated interaction
- Fast Converging Path Integrals for Time-Dependent Potentials II: Generalization to Many-body Systems and Real-Time Formalism
- Density ripples in expanding low-dimensional gases as a probe of correlations
Cited by in corpus (26)
- Fortran and C programs for the time-dependent dipolar Gross-Pitaevskii equation in an anisotropic trap
- Parametric Excitation of a Bose-Einstein Condensate: From Faraday Waves to Granulation
- OpenMP Fortran and C programs for solving the time-dependent Gross-Pitaevskii equation in an anisotropic trap
- Parametrically excited star-shaped patterns at the interface of binary Bose-Einstein condensates
- Density waves and jet emission asymmetry in Bose Fireworks
- Bose-Einstein condensation: Twenty years after
- Suppression and splitting of modulational instability sidebands in periodically tapered optical fibers due to fourth-order dispersion
- Solitons under spatially localized cubic-quintic-septimal nonlinearities
- Excitation spectra of a Bose-Einstein condensate with an angular spin-orbit coupling
- Azimuthons and pattern formation in annularly confined exciton-polariton Bose-Einstein condensates
- Quench Dynamics of Finite Bosonic Ensembles in Optical Lattices with Spatially Modulated Interactions
- Faraday and Resonant Waves in Dipolar Cigar-Shaped Bose-Einstein Condensates
- Parametric resonance of a Bose-Einstein condensate in a ring trap with periodically driven interactions
- Faraday waves in BEC with engineering three-body interactions
- Generation of density waves in dipolar quantum gases by time-periodic modulation of atomic interactions
- Stable-fixed-point description of square-pattern formation in driven two-dimensional Bose-Einstein condensates
- Patterns, spin-spin correlations and competing instabilities in driven quasi-two-dimensional spin-1 Bose-Einstein condensates
- Dark solitons near potential and nonlinearity steps
- Faraday and resonant waves in binary collisionally-inhomogeneous Bose-Einstein condensates
- Stripe and checkerboard patterns in a stack of driven quasi-one-dimensional dipolar condensates
- Time-of-flight expansion of trapped dipolar Fermi gases: From the collisionless to the hydrodynamic regime
- Stability of single and multiple matter-wave dark solitons in collisionally inhomogeneous Bose-Einstein condensates
- Scattering of matter-waves in spatially inhomogeneous environments
- Accurate one-dimensional effective description of realistic matter-wave gap solitons
- Parametric oscillations in a dissipative bosonic Josephson junction
- Dynamics of Momentum Distribution and Structure Factor in a Weakly Interacting Bose Gas with a Periodical Modulation