Transition to Instability in a Kicked Bose-Einstein Condensate
arXiv:cond-mat/0306660 · doi:10.1103/PhysRevLett.92.054101
Abstract
A periodically kicked ring of a Bose-Einstein condensate is considered as a nonlinear generalization of the quantum kicked rotor. For weak interactions between atoms, periodic motion (anti-resonance) becomes quasiperiodic (quantum beating) but remains stable. There exists a critical strength of interactions beyond which quasiperiodic motion becomes chaotic, resulting in an instability of the condensate manifested by exponential growth in the number of noncondensed atoms. Similar behavior is observed for dynamically localized states (essentially quasiperiodic motions), where stability remains for weak interactions but is destroyed by strong interactions.
4 pages, 6 figs. A new affiliation is added. Accepted by Phys. Rev. Lett
References in corpus (15)
- Theory of Bose-Einstein condensation in trapped gases
- Dynamics of collapsing and exploding Bose-Einstein condensates
- Landau and Dynamical Instabilities of the Superflow of Bose-Einstein Condensates in Optical Lattices
- Stationary solutions of the one-dimensional nonlinear Schroedinger equation: I. Case of repulsive nonlinearity
- Theory of nonlinear Landau-Zener tunneling
- Direct observation of growth and collapse of a Bose-Einstein condensate with attractive interactions
- Condensates beyond mean field theory: quantum backreaction as decoherence
- Adiabatic Theory of Nonlinear Evolution of Quantum States
- Quantum phase transition in one-dimensional Bose-Einstein condensates with attractive interactions
- Nonlinear Matter Wave Dynamics with a Chaotic Potential
- Bose-Einstein condensates with attractive interactions on a ring
- Amplification of Local Instabilities in a Bose-Einstein Condensate with Attractive Interactions
- Second-quantized Landau-Zener theory for dynamical instabilities
- Squeezed state dynamics of kicked quantum systems
- Nonlinearity effects in the kicked oscillator
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- Bogoliubov excitations in the quasiperiodic kicked rotor: stability of a kicked condensate and the quasi-insulator-metal transition
- Number-Conserving Approaches for Atomic Bose-Einstein Condensates: An Overview
- Conditions for order and chaos in the dynamics of a trapped Bose-Einstein condensate in coordinate and energy space
- Dynamics of kicked spin-orbit-coupled Bose-Einstein condensates
- Quantum resonance and anti-resonance for a periodically kicked Bose-Einstein Condensate in a one dimensional Box
- Stability of Fock states in a two-component Bose-Einstein condensate with a regular classical counterpart
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