Nonlinear Bose-Einstein-condensate Dynamics Induced by a Harmonic Modulation of the s-wave Scattering Length

Abstract

In a recent experiment, a Bose-Einstein condensate of Li7 has been excited by a harmonic modulation of the atomic s-wave scattering length via Feshbach resonance. By combining an analytical perturbative approach with extensive numerical simulations we analyze the emerging nonlinear dynamics of the system on the mean-field Gross-Pitaevskii level at zero temperature. Resulting excitation spectra are presented and prominent nonlinear features are found: mode coupling, higher harmonics generation and significant shifts in the frequencies of collective modes. We indicate how nonlinear dynamical properties could be made clearly observable in future experiments and compared to our results.

12 pages, 13 figures

References in corpus (31)

• Many-Body Physics with Ultracold Gases
• Collective excitations of a trapped Bose-condensed gas
• Exciting Collective Oscillations in a Trapped 1D Gas
• Fortran programs for the time-dependent Gross-Pitaevskii equation in a fully anisotropic trap
• Collective excitations of atomic Bose-Einstein condensates
• Breathing Modes and Hidden Symmetry of Trapped Atoms in 2D
• Extreme tunability of interactions in a ${}^7$Li Bose-Einstein condensate
• Finite temperature excitations of a trapped Bose gas
• Precision Measurements of Collective Oscillations in the BEC-BCS Crossover
• Faraday patterns in Bose-Einstein condensates
• The transverse breathing mode of an elongated Bose-Einstein condensate
• Extended parametric resonances in nonlinear Schrodinger systems
• Faraday waves in Bose-Einstein condensates
• Dynamics of Collapse of a Confined Bose Gas
• Collective excitation of a Bose-Einstein condensate by modulation of the atomic scattering length
• An Example of Quantum Anomaly in the Physics of Ultra-Cold Gases
• Elementary excitations in trapped Bose gases beyond mean field approximation
• Frequency shift and mode coupling in the nonlinear dynamics of a Bose condensed gas
• Nonlinear Dynamics of a Bose-Einstein Condensate in a Magnetic Waveguide
• Barrier resonances in Bose-Einstein condensation
• Collective oscillations of one-dimensional Bose-Einstein gas in a time-varying trap potential and atomic scattering length
• Dimensional Reduction in Bose-Condensed Alkali-Metal Vapors
• High-Order Variational Calculation for the Frequency of Time-Periodic Solutions
• Semiclassical Corrections to the Oscillation Frequencies of a Trapped Bose-Enstein Condensate
• Collective Motion of Polarized Dipolar Fermi Gases in the Hydrodynamic Regime
• Collective Oscillations in Trapped Bose-Einstein Condensed Gases in the Presence of Weak Disorder
• Generation of nonground-state condensates and adiabatic paradox
• Resonance in Bose-Einstein condensate oscillation from a periodic variation in scattering length
• Resonances in a trapped 3D Bose-Einstein condensate under periodically varying atomic scattering length
• Bose systems in spatially random or time-varying potentials
• Application of the Feshbach-resonance management to a tightly confined Bose-Einstein condensate

Cited by in corpus (35)

• Beyond Mean-Field Low-Lying Excitations of Dipolar Bose Gases
• 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
• Spatiotemporal engineering of matter-wave solitons in Bose-Einstein condensates
• Nonlinear quantum interferometry with Bose condensed atoms
• Parametric Excitation of a Bose-Einstein Condensate: From Faraday Waves to Granulation
• Faraday waves in binary non-miscible Bose-Einstein condensates
• Numerical and variational solutions of the dipolar Gross-Pitaevskii equation in reduced dimensions
• Geometric Resonances in Bose-Einstein Condensates with Two- and Three-Body Interactions
• Faraday waves in collisionally inhomogeneous Bose-Einstein condensates
• Analog cosmological reheating in an ultracold Bose gas
• Tuning the Quantum Phase Transition of Bosons in Optical Lattices via Periodic Modulation of s-Wave Scattering Length
• Stability and decay of Bloch oscillations in presence of time-dependent nonlinearity
• Super Bloch oscillations with modulated interaction
• Floquet-Induced Superfluidity with Periodically Modulated Interactions of Two-Species Hardcore Bosons in a One-dimensional Optical Lattice
• Split and overlapped binary solitons in optical lattices
• Controlled excitation and resonant acceleration of ultracold few-boson systems by driven interactions in a harmonic trap
• Effects of spatially inhomogeneous atomic interactions on Bose-Einstein condensates in optical lattices
• Stabilization of trapless dipolar Bose-Einstein condensates by temporal modulation of the contact interaction
• Quench dynamics of Bose-Einstein condensates in boxlike traps
• Statics and dynamics of a self-bound dipolar matter-wave droplet
• Cooperative spontaneous emission via renormalization approach: Classical versus semi-classical effects
• Green's function approach to the Bose-Hubbard model with disorder
• Non-equilibrium evolution of Bose-Einstein condensate deformation in temporally controlled weak disorder
• A distinguishable single excited-impurity in a Bose-Einstein condensate
• Heisenberg Operator Approach for Spin Squeezing Dynamics
• Understanding Floquet Resonances in Ultracold Gas Scattering
• The influence of interaction between quasiparticles on parametric resonance process in Bose-Einstein condensates
• Beats and Expansion of Two-Component Bose-Einstein Condensates in the Thomas-Fermi Limit
• Periodic quenches across the Berezinskii-Kosterlitz-Thouless phase transition
• Dynamics of Momentum Distribution and Structure Factor in a Weakly Interacting Bose Gas with a Periodical Modulation
• Characterization of the energy level-structure of a trapped dipolar Bose gas via mean-field parametric resonances
• Dynamics of Bose-Einstein condensates under anharmonic trap
• Spectroscopy of collective modes in a Bose-Einstein condensate: From single to double excitation periods
• Cold Atoms in Driven Optical Lattices