A Perturbative Analysis of Modulated Amplitude Waves in Bose-Einstein Condensates
arXiv:nlin/0308024 · doi:10.1063/1.1779991
Abstract
We apply Lindstedt's method and multiple scale perturbation theory to analyze spatio-temporal structures in nonlinear Schrödinger equations and thereby study the dynamics of quasi-one-dimensional Bose-Einstein condensates with mean-field interactions. We determine the dependence of the intensity of modulated amplitude waves on their wave number. We also explore the band structure of Bose-Einstein condensates in detail using Hamiltonian perturbation theory and supporting numerical simulations.
24 pages, 20 figs (numbered to 9), 6 tables, to appear in Chaos
References in corpus (29)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Theory of Bose-Einstein condensation in trapped gases
- Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates
- Dynamics of collapsing and exploding Bose-Einstein condensates
- Bose-Einstein Condensation of Atomic Hydrogen
- Controlled Collapse of a Bose-Einstein Condensate
- Superfluid and Dissipative Dynamics of a Bose-Einstein Condensate in a Periodic Optical Potential
- Bose-Einstein condensates in standing waves: The cubic nonlinear Schroedinger equation with a periodic potential
- Stationary solutions of the one-dimensional nonlinear Schroedinger equation: I. Case of repulsive nonlinearity
- Bose-Einstein Condensates in Optical Lattices: Band-Gap Structure and Solitons
- Wannier functions analysis of the nonlinear Schrödinger equation with a periodic potential
- Stationary solutions of the one-dimensional nonlinear Schroedinger equation: II. Case of attractive nonlinearity
- Band structure, elementary excitations, and stability of a Bose-Einstein condensate in a periodic potential
- Superfluid current disruption in a chain of weakly coupled Bose-Einstein Condensates
- Stability of Repulsive Bose-Einstein Condensates in a Periodic Potential
- Regular spatial structures in arrays of Bose-Einstein condensates induced by modulational instability
- Superfluidity and Swallowtails; Hysteretic Behavior in Bose Condensates
- Three body problem in a dilute Bose-Einstein condensate
- Bloch Waves and Bloch Bands of Bose-Einstein Condensates in Optical Lattices
- Loop structure of the lowest Bloch band for a Bose-Einstein condensate
- Stability of Attractive Bose-Einstein Condensates in a Periodic Potential
- Spatial period-doubling in Bose-Einstein condensates in an optical lattice
- Superfluid Dynamics of a Bose-Einstein Condensate in a Periodic Potential
- Localized breathing solutions for Bose-Einstein condensates in periodic traps
- Modulated Amplitude Waves and the Transition from Phase to Defect Chaos
- Modulated Amplitude Waves and Defect Formation in the One-Dimensional Complex Ginzburg-Landau Equation
- Improved Semiclassical Approximation for Bose-Einstein Condensates: Application to a BEC in an Optical Potential
- Periodic Quantum Tunneling and Parametric Resonance with Cigar-Shaped Bose-Einstein Condensates
- Modulated Amplitude Waves in Bose-Einstein Condensates
Cited by in corpus (7)
- Modulated Amplitude Waves in Collisionally Inhomogeneous Bose-Einstein Condensates
- Nonlinear Lattice Dynamics of Bose-Einstein Condensates
- The nonlinear Schroedinger equation for the delta-comb potential: quasi-classical chaos and bifurcations of periodic stationary solutions
- Bose-Einstein Condensates in Superlattices
- Modulated amplitude waves with nonzero phases in Bose-Einstein condensates
- Attractiveness of periodic orbits in parametrically forced systemswith time-increasing friction
- Fractional-Period Excitations in Continuum Periodic Systems