Control of unstable macroscopic oscillations in the dynamics of three coupled Bose condensates
arXiv:0907.4314 · doi:10.1088/1751-8113/42/28/285307
Abstract
We study the dynamical stability of the macroscopic quantum oscillations characterizing a system of three coupled Bose-Einstein condensates arranged into an open-chain geometry. The boson interaction, the hopping amplitude and the central-well relative depth are regarded as adjustable parameters. After deriving the stability diagrams of the system, we identify three mechanisms to realize the transition from an unstable to stable behavior and analyze specific configurations that, by suitably tuning the model parameters, give rise to macroscopic effects which are expected to be accessible to experimental observation. Also, we pinpoint a system regime that realizes a Josephson-junction-like effect. In this regime the system configuration do not depend on the model interaction parameters, and the population oscillation amplitude is related to the condensate-phase difference. This fact makes possible estimating the latter quantity, since the measure of the oscillating amplitudes is experimentally accessible.
arXiv comment25 pages, 12 figures
References in corpus (42)
- Cold bosonic atoms in optical lattices
- Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
- Quantum Coherent Atomic Tunneling between Two Trapped Bose-Einstein Condensates
- Josephson Junction Arrays with Bose-Einstein Condensates
- Landau and Dynamical Instabilities of the Superflow of Bose-Einstein Condensates in Optical Lattices
- Superfluid and Dissipative Dynamics of a Bose-Einstein Condensate in a Periodic Optical Potential
- Correlations and Counting Statistics of an Atom Laser
- Nonlinear Self-Trapping of Matter Waves in Periodic Potentials
- Atomic quantum gases in Kagomé lattices
- Phase Diagram of Bosonic Atoms in Two-Color Superlattices
- Josephson effects in dilute Bose-Einstein condensates
- Interference pattern and visibility of a Mott insulator
- Non-equilibrium Gross-Pitaevskii dynamics of boson lattice models
- Collective modes, chaotic behavior and self-trapping in the dynamics of three coupled Bose-Einstein condensates
- Nonlinear Matter Wave Dynamics with a Chaotic Potential
- Josephson Oscillation and Transition to Self-Trapping for Bose-Einstein-Condensates in a Triple-Well Trap
- Bright Matter-Wave Soliton Collisions in a Harmonic Trap: Regular and Chaotic Dynamics
- Realization of a single Josephson junction for Bose-Einstein condensates
- Transistor-Like Behavior of a Bose-Einstein Condensate in a Triple Well Potential
- Beyond mean-field dynamics of small Bose-Hubbard systems based on the number-conserving phase space approach
- Dynamic splitting of a Bose-Einstein Condensate
- Quantum Dynamics of Three Coupled Atomic Bose-Einstein Condensates
- Superfluid Dynamics of a Bose-Einstein Condensate in a Periodic Potential
- Multi-gap discrete vector solitons
- Ground-state properties of the attractive one-dimensional Bose-Hubbard model
- Semiclassical approach to Bose-Einstein condensates in a triple well potential
- A Primary Noise Thermometer for Ultracold Bose Gases
- Dynamical Instability in a Trimeric Chain of Interacting Bose-Einstein Condensates
- Self-trapping mechanisms in the dynamics of three coupled Bose-Einstein condensates
- Complexity in parametric Bose-Hubbard Hamiltonians and structural analysis of eigenstates
- Entangled graphs: Bipartite entanglement in multi-qubit systems
- Some remarks on the coherent-state variational approach to nonlinear boson models
- Persistent currents in a circular array of Bose-Einstein condensates
- Time dependent mean field theory of the superfluid-insulator phase transition
- Spectral Properties of Coupled Bose-Einstein Condensates
- Semiclassical quantization of the Bogoliubov spectrum
- Melting of Discrete Vortices via Quantum Fluctuations
- Hamiltonian Hopf bifurcations in the discrete nonlinear Schrödinger trimer: oscillatory instabilities, quasiperiodic solutions and a 'new' type of self-trapping transition
- Dynamical instability in kicked Bose-Einstein condensates: Bogoliubov resonances
- Superpositions of SU(3) coherent states via a nonlinear evolution
- Resonances and Chaos in the Collective Oscillations of a Trapped Bose Condensate
- Persistence of mean-field features in the energy spectrum of small arrays of Bose-Einstein condensates
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- Classical and quantum chaos in a three-mode bosonic system
- Compactification tuning for nonlinear localized modes in sawtooth lattices
- Interacting bosons in a triple well: Preface of many-body quantum chaos
- Quantum dynamics of bosons in a two-ring ladder: dynamical algebra, vortex-like excitations and currents
- The phase-separation mechanism of a binary mixture in a ring trimer
- Quantum-classical correspondence of a system of interacting bosons in a triple-well potential
- Dynamics of the central-depleted-well regime in the open Bose-Hubbard trimer
- A continuous-variable approach to the spectral properties and quantum states of the two-component Bose-Hubbard dimer
- From integrability to chaos: the quantum-classical correspondence in a triple well bosonic model
- Intermittent emission of particles from a Bose-Einstein condensate in a one-dimensional lattice