Weakly linked binary mixtures of F=1 87-Rb Bose-Einstein condensates
arXiv:1005.5272 · doi:10.1088/1367-2630/13/3/033012
Abstract
We present a study of binary mixtures of Bose-Einstein condensates confined in a double-well potential within the framework of the mean field Gross-Pitaevskii equation. We reexamine both the single component and the binary mixture cases for such a potential, and we investigate in which situations a simpler two-mode approach leads to an accurate description of their dynamics. We also estimate the validity of the most usual dimensionality reductions used to solve the Gross-Pitaevskii equations. To this end, we compare both the semi-analytical two-mode approaches and the numerical simulations of the 1D reductions with the full 3D numerical solutions of the Gross-Pitaevskii equation. Our analysis provides a guide to clarify the validity of several simplified models that describe mean field non-linear dynamics, using an experimentally feasible binary mixture of an F=1 spinor condensate with two of its Zeeman manifolds populated, m=+1 and m=-1.
44 pages, 19 figures
References in corpus (34)
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
- Spinor Bose Condensates in Optical Traps
- Quantum Coherent Atomic Tunneling between Two Trapped Bose-Einstein Condensates
- Bose-Einstein condensation with internal degrees of freedom in alkali atom gases
- Effective wave-equations for the dynamics of cigar-shaped and disc-shaped Bose condensates
- Inter-isotope determination of ultracold rubidium interactions from three high-precision experiments
- Quantum Superposition States of Bose-Einstein Condensates
- Classical bifurcation at the transition from Rabi to Josephson dynamics
- The Gross-Pitaevskii Equation for Bose Particles in a Double Well Potential: Two Mode Models and Beyond
- Coupled-mode theory for Bose-Einstein condensates
- Exact quantum dynamics of a bosonic Josephson junction
- Nonlinear Tight-Binding Approximation for Bose-Einstein Condensates in a Lattice
- Josephson effects in dilute Bose-Einstein condensates
- Vector solitons in nearly-one-dimensional Bose-Einstein condensates
- Macroscopic self trapping in BECs: analysis of a dynamical quantum phase transition
- Symmetry-Breaking and Symmetry-Restoring Dynamics of a Mixture of Bose-Einstein Condensates in a Double Well
- Quantum dynamics of a model for two Josephson-coupled Bose--Einstein condensates
- Josephson Effect in BEC with Spin Degree of Freedom
- Phase-diffusion dynamics in weakly coupled Bose-Einstein condensates
- Dynamical Realization of Macroscopic Superposition States of Cold Bosons in a Tilted Double Well
- Entangled quantum tunneling of two-component Bose-Einstein condensates
- Josephson oscillations in binary mixtures of F=1 spinor BECs
- Macroscopic spin tunneling and quantum critical behavior of a condensate in double-well potential
- An effective quasi-one-dimensional description of a spin-1 atomic condensate
- Bose-Einstein Condensates on slightly asymmetric double-well potentials
- Two-Component Nonlinear Schrodinger Models with a Double-Well Potential
- Quantum phase transition and critical fluctuations of an attractive Bose gas in a double well potential
- Spinor BECs in a double-well: population transfer and Josephson oscillations
- Nonlinear quantum model for atomic Josephson junctions with one and two bosonic species
- Dynamics of a two-species Bose-Einstein condensate in a double well
- Beyond standard two-mode dynamics in Bosonic Josephson junctions
- Predicting spinor condensate dynamics from simple principles
- Quantum Bose Josephson Junction with binary mixtures of BECs
Cited by in corpus (33)
- Random bosonic states for robust quantum metrology
- Josephson physics of spin-orbit coupled elongated Bose-Einstein condensates
- A dipolar self-induced bosonic Josephson junction
- Tunneling, self-trapping and manipulation of higher modes of a BEC in a double well
- Two-mode effective interaction in a double-well condensate
- Measure synchronization in quantum many-body systems
- Pathway toward the formation of supermixed states in ultracold boson mixtures loaded in ring lattices
- Spin-orbit coupled Bose-Einstein condensates in a double well
- Hybrid synchronization in coupled ultracold atomic gases
- Dynamics in asymmetric double-well condensates
- Non-linear mixing of Bogoliubov modes in a bosonic Josephson junction
- The phase-separation mechanism of a binary mixture in a ring trimer
- Multimode model for an atomic Bose-Einstein condensate in a ring-shaped optical lattice
- Quantum properties of a binary bosonic mixture in a double well
- Finite-temperature dynamics of a bosonic Josephson junction
- Regular and chaotic behavior of collective atomic motion in two-component Bose-Einstein condensates
- Self-trapping of a binary Bose-Einstein condensate induced by interspecies interaction
- Spin Josephson vortices in two tunnel coupled spinor Bose gases
- Dynamics in multiple-well Bose-Einstein condensates
- Effective two-mode model in Bose-Einstein condensates versus Gross-Pitaevskii simulations
- Tunneling dynamics of correlated bosons in a double well potential
- Blocked populations in ring-shaped optical lattices
- Spin-driven spatial symmetry breaking of spinor condensates in a double-well
- Bose-Einstein condensates in rotating ring-shaped lattices: a multimode model
- Dynamics of Bose-Einstein condensates in a one-dimensional optical lattice with double-well potential
- Coherence oscillations between weakly coupled Bose-Hubbard dimers
- Functional renormalization for repulsive Bose-Bose mixtures at zero temperature
- Dissipation effect in the double-well Bose-Einstein Condensate
- Quantum-granularity effect in the formation of supermixed solitons in ring lattices
- Dynamical effects of exchange symmetry breaking in mixtures of interacting bosons
- Dynamics of double-well Bose-Einstein Condensates subject to external Gaussian white noise
- Few-body bound states of bosonic mixtures in two-dimensional optical lattices
- Bosonic binary mixtures with Josephson-type interactions