Quantum effects on curve crossing in a Bose-Einstein condensate
arXiv:cond-mat/0108372 · doi:10.1103/PhysRevA.65.043607
Abstract
Formation of atomic pairs by the dissociation of a molecular condensate or by inelastic collisions in an atomic condensate due to a time-dependent curve crossing process is studied beyond the mean-field approximation. The number of atoms formed by the spontaneous process is described by a Landau-Zener formula multiplied by an exponential amplification factor due to quantum many-body effects. The atomic pairs are formed in an entangled (squeezed) state. The rate of stimulated processes depends on the relative phase of the two fields.
LaTeX, 5 pages, uses REVTeX, submitted to Physical Review Letters
References in corpus (3)
Cited by in corpus (34)
- Non-adiabacity and large flucutations in a many particle Landau Zener problem
- BEC Collapse and Dynamical Squeezing of Vacuum Fluctuations
- Many body generalization of the Landau Zener problem
- Multiparticle Landau-Zener problem
- Solvable multistate model of Landau-Zener transitions in cavity QED
- Formation of a molecular Bose-Einstein condensate and an entangled atomic gas by Feshbach resonance
- Landau-Zener extension of the Tavis-Cummings model: structure of the solution
- Landau-Zener Transitions in Chains
- Constraints on scattering amplitudes in multistate Landau-Zener theory
- Landau-Zener Problem for Trilinear Hamiltonians
- Exact results for models of multichannel quantum nonadiabatic transitions
- Multistate Landau-Zener models with all levels crossing at one point
- Second-quantized Landau-Zener theory for dynamical instabilities
- Variational ansatz for the nonlinear Landau-Zener problem for cold atom association
- Coherent reaction between molecular and atomic Bose-Einstein condensates: integrable model
- Nonadiabatic transitions in exactly solvable quantum mechanical multichannel model: role of level curvature and counterintuitive behavior
- Formation of Two Component Bose Condensate During the Chemical Potential Curve Crossing
- Interaction induced Landau-Zener transitions
- Generalized formula for the Landau-Zener transition in interacting Bose-Einstein condensates
- Formation of molecules from a Cs Bose-Einstein condensate
- Integrable multistate Landau-Zener models with parallel energy levels
- Parametric tuning of quantum phase transitions in ultracold reactions
- Instanton versus traditional WKB approach to Landau - Zener problem
- Rosen-Zener model in cold molecule formation
- Formation of molecules in an expanding Bose-Einstein condensate
- Strong-coupling limit in cold-molecule formation via photoassociation or Feshbach resonance through Nikitin exponential resonance crossing
- Landau-Zener transition in quadratic-nonlinear two-state systems
- Spectrum, Landau-Zener theory and driven-dissipative dynamics of a staircase of photons
- Atom loss from the Rb Bose-Einstein condensate by a Feshbach resonance
- Exact transition probabilities in the three-state Landau-Zener-Coulomb model
- Quantum instabilities in the system of identical bosons
- Nonadiabatic dissociation of molecular Bose-Einstein condensates: competition between chemical reactions
- Multiple-time-scale Landau-Zener transitions in many-body systems
- Integrability in the multistate Landau-Zener model with time-quadratic commuting operators