Boson Pairs in a One-dimensional Split Trap
arXiv:0707.0981 · doi:10.1103/PhysRevA.76.053616
Abstract
We describe the properties of a pair of ultracold bosonic atoms in a one-dimensional harmonic trapping potential with a tunable zero-ranged barrier at the trap centre. The full characterisation of the ground state is done by calculating the reduced single-particle density, the momentum distribution and the two-particle entanglement. We derive several analytical expressions in the limit of infinite repulsion (Tonks-Girardeau limit) and extend the treatment to finite interparticle interactions by numerical solution. As pair interactions in double wells form a fundamental building block for many-body systems in periodic potentials, our results have implications for a wide range of problems.
9 pages, 8 figures
References in corpus (24)
- Theory of Bose-Einstein condensation in trapped gases
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- Realization of Bose-Einstein condensates in lower dimensions
- Vortices and Superfluidity in a Strongly Interacting Fermi Gas
- General criterion for the entanglement of two indistinguishable particles
- Quantum Correlations in Two-Boson Wavefunctions
- Ground state properties of a one-dimensional condensate of hard core bosons in a harmonic trap
- Matterwave localization in disordered cold atom lattices
- Fermi-Bose mapping for one-dimensional Bose gases
- Self-consistent model of ultracold atomic collisions and Feshbach resonances in tight harmonic traps
- Entanglement in a two-identical-particle system
- Many-body solitons in a one-dimensional condensate of hard core bosons
- Superfluid to Mott insulator transition in one, two, and three dimensions
- Ultracold Few-Boson Systems in a Double-Well Trap
- Correlations in Ultracold Trapped Few-Boson Systems: Transition from Condensation to Fermionization
- Two atoms in an anisotropic harmonic trap
- Quantum entanglement as an interpretation of bosonic character in composite two-particle systems
- Pseudopotential model of ultracold atomic collisions in quasi-one- and two-dimensional traps
- Entanglement and Properties
- Excitations of Few-Boson Systems in 1-D Harmonic and Double Wells
- S-wave quantum entanglement in a harmonic trap
- Criteria for the entanglement of composite systems of identical particles
- Ground states of hard-core bosons in one dimensional periodic potentials
- A Tonks Giradeau Gas in the Presence of a Local Potential
Cited by in corpus (24)
- Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
- Quenching small quantum gases: Genesis of the orthogonality catastrophe
- Ground-state properties of few-Boson system in a one-dimensional hard wall potential with split
- Ground State Properties of a Tonks-Girardeau Gas in a Split Trap
- Exactly solvable model of two trapped quantum particles interacting via finite-range soft-core interactions
- Correlation versus commensurability effects for finite bosonic systems in one-dimensional lattices
- Detection and engineering of spatial mode entanglement with ultra-cold bosons
- Effect of inter-particle interaction in a free oscillation atomic interferometer
- Probing the out-of-equilibrium dynamics of two interacting atoms
- Fast control of interactions in an ultracold two atom system: Managing correlations and irreversibility
- Optimized Configuration Interaction Approach for Trapped Multiparticle Systems Interacting Via Contact Forces
- Counterflow dynamics of two correlated impurities immersed in a bosonic gas
- An eccentrically perturbed Tonks-Girardeau gas
- Two Atoms in a Double Well: An Exact Solution
- Hard-core Bose-Fermi mixture in one-dimensional split traps
- Low-energy excitations of a boson pair in a double-well trap
- Non-locality of Two Ultracold Trapped Atoms
- Spectral Structure and Many-Body Dynamics of Ultracold Bosons in a Double-Well
- Bipartite correlations in quantum resonance states
- Ground-state correlation properties of charged bosons trapped in strongly anisotropic harmonic potentials
- Quantum entanglement of two harmonically trapped dipolar particles
- Quantum correlations and spatial localization in trapped one-dimensional ultra-cold Bose-Bose-Bose mixtures
- Entanglement in spatial adiabatic processes for interacting atoms
- Comparative study of quantum dynamics of a few bosons in a one-dimensional split hard-wall trap: exact results versus Bose-Hubbard-model approximations