Low-density, one-dimensional quantum gases in a split trap

Abstract

We investigate degenerate quantum gases in one dimension trapped in a harmonic potential that is split in the centre by a pointlike potential. Since the single particle eigenfunctions of such a system are known for all strengths of the central potential, the dynamics for non-interacting fermionic gases and low-density, strongly interacting bosonic gases can be investigated exactly using the Fermi-Bose mapping theorem. We calculate the exact many-particle ground-state wave-functions for both particle species, investigate soliton-like solutions, and compare the bosonic system to the well-known physics of Bose gases described by the Gross-Pitaevskii equation. We also address the experimentally important questions of creation and detection of such states.

7 pages, 5 figures

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• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
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• Tunneling dynamics of few bosons in a double well
• Density functional theory in one-dimension for contact-interacting fermions
• Free expansion of a Lieb-Liniger gas: Asymptotic form of the wave functions
• Probing BEC phase fluctuations with atomic quantum dots
• Dynamics of shallow dark solitons in a trapped gas of impenetrable bosons
• Bose-Einstein condensation: Twenty years after
• Ground state properties of ultracold trapped bosons with an immersed ionic impurity
• Density-functional theory of strongly correlated Fermi gases in elongated harmonic traps
• Excitations of Few-Boson Systems in 1-D Harmonic and Double Wells
• Ground State Properties of a Tonks-Girardeau Gas in a Split Trap
• Emergence of Wigner molecules in one-dimensional systems of repulsive fermions under harmonic confinement
• Momentum distribution of a freely expanding Lieb-Liniger gas
• Correlation versus commensurability effects for finite bosonic systems in one-dimensional lattices
• Quantum dynamics of two trapped bosons following infinite interaction quenches
• Binding between two-component bosons in one dimension
• An eccentrically perturbed Tonks-Girardeau gas
• Dark stationary matter-waves via parity-selective evaporation in a Tonks-Girardeau gas
• Basis-set correction based on density-functional theory: Linear-response formalism for excited-state energies
• Dipole mode of a strongly correlated one-dimensional Bose gas in a split trap: parity effect and barrier renormalization
• Basis-set correction based on density-functional theory: Rigorous framework for a one-dimensional model
• Low-energy excitations of a boson pair in a double-well trap
• Impurities in systems of noninteracting trapped fermions
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• Solitary waves in elongated clouds of strongly-interacting bosons
• Effects of interactions on the generalized Hong-Ou-Mandel effect
• The single-particle density matrix and the momentum distribution of dark "solitons" in a Tonks-Girardeau gas
• A new model for the double well potential
• Impact of quantum coherence on the dynamics and thermodynamics of quenched free fermions coupled to a localized defect