Resonant Generation of Topological Modes in Trapped Bose Gases
arXiv:cond-mat/0401406 · doi:10.1103/PhysRevA.69.023620
Abstract
Trapped Bose atoms cooled down to temperatures below the Bose-Einstein condensation temperature are considered. Stationary solutions to the Gross-Pitaevskii equation (GPE) define the topological coherent modes, representing nonground-state Bose-Einstein condensates. These modes can be generated by means of alternating fields whose frequencies are in resonance with the transition frequencies between two collective energy levels corresponding to two different topological modes. The theory of resonant generation of these modes is generalized in several aspects: Multiple-mode formation is described; a shape-conservation criterion is derived, imposing restrictions on the admissible spatial dependence of resonant fields; evolution equations for the case of three coherent modes are investigated; the complete stability analysis is accomplished; the effects of harmonic generation and parametric conversion for the topological coherent modes are predicted. All considerations are realized both by employing approximate analytical methods as well as by numerically solving the GPE. Numerical solutions confirm all conclusions following from analytical methods.
One reference modified
Cited by in corpus (35)
- Cold Bosons in Optical Lattices
- Principal problems in Bose-Einstein condensation of dilute gases
- Stabilization of bright solitons and vortex solitons in a trapless three-dimensional Bose-Einstein condensate by temporal modulation of the scattering length
- Basics of Bose-Einstein Condensation
- Effects of symmetry breaking in finite quantum systems
- Fluctuations of composite observables and stability of statistical systems
- Vibrational state inversion of a Bose-Einstein condensate: optimal control and state tomography
- Scheme of thinking quantum systems
- Quasi-energies and Floquet states of two weakly coupled Bose-Einstein condensates under periodic driving
- Generation of nonground-state Bose-Einstein condensates by modulating atomic interactions
- Nonequivalent operator representations for Bose-condensed systems
- STIRAP transport of Bose-Einstein condensate in triple-well trap
- Stochastic Gross-Pitaevskii Equation for the Dynamical Thermalization of Bose-Einstein Condensates
- Turbulent superfluid as continuous vortex mixture
- Nonequilibrium Bose systems and nonground-state Bose-Einstein condensates
- Relaxation, chaos, and thermalization in a three-mode model of a BEC
- Generation of nonground-state condensates and adiabatic paradox
- Regulating entanglement production in multitrap Bose-Einstein condensates
- Difference in Bose-Einstein condensation of conserved and unconserved particles
- Free expansion of fermionic dark solitons in a boson-fermion mixture
- Dynamical stabilization of two-dimensional trapless Bose-Einstein condensates by three-body interaction and quantum fluctuations
- Adiabatic transport of Bose-Einstein condensate in double-well trap
- Entanglement production with multimode Bose-Einstein condensates in optical lattices
- Order parameter for the dynamical phase transition in Bose-Einstein condensates with topological modes
- Nonlinear dynamics of Rydberg-dressed Bose-Einstein condensates in a triple-well potential
- Transport of the repulsive Bose-Einstein condensate in a double-well trap: interaction impact and relation to Josephson effect
- ATUS-PRO: A FEM-based solver for the time-dependent and stationary Gross-Pitaevskii equation
- Black soliton in a quasi-one-dimensional trapped fermion-fermion mixture
- Dynamics of Nonground-State Bose-Einstein Condensates
- Entanglement production with Bose atoms in optical lattices
- From Coherent Modes to Turbulence and Granulation of Trapped Gases
- The Adiabatic Transport of Bose-Einstein Condensates in a Double-Well Trap: Case a Small Nonlinearity
- Kinetic Thomas-Fermi solutions of the Gross-Pitaevskii equation
- Coherent control of nonlinear mode transitions in Bose-Einstein condensates
- Mode conversion in nonlinear waveguides stimulated by the longitudinal bi-harmonic refractive index modulation