Faraday waves in binary non-miscible Bose-Einstein condensates
arXiv:1202.2059 · doi:10.1103/PhysRevA.85.023613
Abstract
We show by extensive numerical simulations and analytical variational calculations that elongated binary non-miscible Bose-Einstein condensates subject to periodic modulations of the radial confinement exhibit a Faraday instability similar to that seen in one-component condensates. Considering the hyperfine states of Rb condensates, we show that there are two experimentally relevant stationary state configurations: the one in which the components form a dark-bright symbiotic pair (the ground state of the system), and the one in which the components are segregated (first excited state). For each of these two configurations, we show numerically that far from resonances the Faraday waves excited in the two components are of similar periods, emerge simultaneously, and do not impact the dynamics of the bulk of the condensate. We derive analytically the period of the Faraday waves using a variational treatment of the coupled Gross-Pitaevskii equations combined with a Mathieu-type analysis for the selection mechanism of the excited waves. Finally, we show that for a modulation frequency close to twice that of the radial trapping, the emergent surface waves fade out in favor of a forceful collective mode that turns the two condensate components miscible.
13 pages, 10 figures
References in corpus (48)
- The dynamics of component separation in a binary mixture of Bose-Einstein condensates
- Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
- Dark-Bright Solitons in Inhomogeneous Bose-Einstein Condensates
- Fortran programs for the time-dependent Gross-Pitaevskii equation in a fully anisotropic trap
- Nonlinear Waves in Bose-Einstein Condensates: Physical Relevance and Mathematical Techniques
- Binary Bose-Einstein Condensate Mixtures in Weakly and Strongly Segregated Phases
- Generation of dark-bright soliton trains in superfluid-superfluid counterflow
- Vortex Lattice Dynamics in Rotating Spinor Bose-Einstein Condensates
- Faraday patterns in Bose-Einstein condensates
- Non-Equilibrium Dynamics and Superfluid Ring Excitations in Binary Bose-Einstein Condensates
- Extended parametric resonances in nonlinear Schrodinger systems
- Bright-Dark Soliton Complexes in Spinor Bose-Einstein Condensates
- Formation of Quantum Shock Waves by Merging and Splitting Bose-Einstein Condensates
- Spin gradient thermometry for ultracold atoms in optical lattices
- Effective mean-field equations for cigar-shaped and disk-shaped Bose-Einstein condensates
- Stable Vortex-Bright Soliton Structures in Two-Component Bose Einstein Condensates
- Dynamics of Dark-Bright Solitons in Cigar-Shaped Bose-Einstein Condensates
- Faraday waves in Bose-Einstein condensates
- Collective excitation of a Bose-Einstein condensate by modulation of the atomic scattering length
- Vector solitons in nearly-one-dimensional Bose-Einstein condensates
- Quantized vortices in a rotating Bose-Einstein condensate with spatiotemporally modulated interaction
- Spontaneous pattern formation in an anti-ferromagnetic quantum gas
- Nonlinear Bose-Einstein-condensate Dynamics Induced by a Harmonic Modulation of the s-wave Scattering Length
- Detecting phonons and persistent currents in toroidal Bose-Einstein condensates by means of pattern formation
- Faraday Patterns in low-dimensional Bose-Einstein Condensates
- Parametric excitation of a Bose-Einstein condensate in a 1D optical lattice
- Stability diagram and growth rate of parametric resonances in Bose-Einstein condensates in one-dimensional optical lattices
- Faraday patterns in dipolar Bose-Einstein condensates
- Coherent atomic soliton molecules for matter-wave switching
- Stable Bloch oscillations of cold atoms with time-dependent interaction
- Confinement-induced resonance in quasi-one-dimensional systems under transversely anisotropic confinement
- Predicting scattering properties of ultracold atoms: adiabatic accumulated phase method and mass scaling
- Transition to miscibility in linearly coupled binary dipolar Bose-Einstein condensates
- Collective oscillations of a confined Bose gas at finite temperature in the random-phase approximation
- Ultra-Fast Converging Path-Integral Approach for Rotating Ideal Bose-Einstein Condensates
- Faraday waves in elongated superfluid fermionic clouds
- Recursive Schr\" odinger Equation Approach to Faster Converging Path Integrals
- Stability and decay of Bloch oscillations in presence of time-dependent nonlinearity
- Effect of scattering lengths on the dynamics of a two-component Bose-Einstein condensate
- Fast Convergence of Path Integrals for Many-body Systems
- Properties of Quantum Systems via Diagonalization of Transition Amplitudes II: Systematic Improvements of Short-time Propagation
- Suppression of Faraday waves in a Bose-Einstein condensate in the presence of an optical lattice
- Parametric resonance and spin-charge separation in 1D fermionic systems
- Properties of Quantum Systems via Diagonalization of Transition Amplitudes I: Discretization Effects
- Faraday instability in a two-component Bose Einstein condensate
- Dynamics and stability of Bose-Einstein solitons in tilted optical lattices
- Interface solitons in locally linked two-dimensional lattices
- Parametrically excited "Scars" in Bose-Einstein condensates
Cited by in corpus (47)
- C programs for solving the time-dependent Gross-Pitaevskii equation in a fully anisotropic trap
- Fortran and C programs for the time-dependent dipolar Gross-Pitaevskii equation in an anisotropic trap
- Beating dark-dark solitons in Bose-Einstein condensates
- Roton immiscibility in a two-component dipolar Bose gas
- Dipolar Bose-Einstein Condensates in Weak Anisotropic Disorder
- Equilibrium solutions of immiscible two-species Bose-Einstein condensates in perturbed harmonic traps
- Parametrically excited star-shaped patterns at the interface of binary Bose-Einstein condensates
- Bose-Einstein condensation: Twenty years after
- Quantum gas mixtures in different correlation regimes
- Geometric Resonances in Bose-Einstein Condensates with Two- and Three-Body Interactions
- Superposed nonlinear waves in coherently coupled Bose-Einstein condensates
- Faraday waves in collisionally inhomogeneous Bose-Einstein condensates
- Faraday patterns in coupled one-dimensional dipolar condensates
- Photon-atomic solitons in a Bose-Einstein condensate trapped in a soft optical lattice
- Miscibility in coupled dipolar and non-dipolar Bose-Einstein condensates
- Faraday waves in quasi-one-dimensional superfluid Fermi-Bose mixtures
- Modulation instability in quasi two-dimensional spin-orbit coupled Bose-Einstein condensates
- Parametric resonance of capillary waves at the interface between two immiscible Bose-Einstein condensates
- Numerical study of localized impurity in a Bose-Einstein condensate
- Faraday patterns generated by Rabi oscillation in a binary Bose-Einstein condensate
- 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
- Statics and dynamics of quasi one-dimensional Bose-Einstein condensate in harmonic and dimple trap
- Faraday patterns in spin-orbit coupled Bose-Einstein condensates
- Spin modulation instabilities and phase separation dynamics in trapped two-component Bose condensates
- Suppression of the quantum collapse in binary bosonic gases
- Parametric resonance of a Bose-Einstein condensate in a ring trap with periodically driven interactions
- Faraday and Resonant Waves in Dipolar Cigar-Shaped Bose-Einstein Condensates
- Effective equations for matter-wave gap solitons in higher-order transversal states
- Effects of spatially inhomogeneous atomic interactions on Bose-Einstein condensates in optical lattices
- Domain wall suppression in trapped mixtures of Bose-Einstein condensates
- Influence of Rashba spin-orbit and Rabi couplings on the miscibility and ground state phases of binary Bose-Einstein condensates
- Faraday waves in BEC with engineering three-body interactions
- Patterns, spin-spin correlations and competing instabilities in driven quasi-two-dimensional spin-1 Bose-Einstein condensates
- Stable-fixed-point description of square-pattern formation in driven two-dimensional Bose-Einstein condensates
- Faraday and resonant waves in binary collisionally-inhomogeneous Bose-Einstein condensates
- Dark Solitary Waves in a Class of Collisionally Inhomogeneous Bose-Einstein Condensates
- Stripe and checkerboard patterns in a stack of driven quasi-one-dimensional dipolar condensates
- Efficient numerical description of the dynamics of interacting multispecies quantum gases
- 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
- Patterning by dynamically unstable spin-orbit-coupled Bose-Einstein condensates
- Two new standing solitary waves in shallow water
- Nonlinearity managed vector solitons
- Equilibration of a finite temperature binary Bose gas formed by population transfer
- Faraday Waves in strongly interacting superfluids
- Interface potential and line tension for Bose-Einstein condensate mixtures near a hard wall