Excitations of Few-Boson Systems in 1-D Harmonic and Double Wells

Abstract

We examine the lowest excitations of one-dimensional few-boson systems trapped in double wells of variable barrier height. Based on a numerically exact multi-configurational method, we follow the whole pathway from the non-interacting to the fermionization limit. It is shown how, in a purely harmonic trap, the initially equidistant, degenerate levels are split up due to interactions, but merge again for strong enough coupling. In a double well, the low-lying spectrum is largely rearranged in the course of fermionization, exhibiting level adhesion and (anti-)crossings. The evolution of the underlying states is explained in analogy to the ground-state behavior. Our discussion is complemented by illuminating the crossover from a single to a double well.

arXiv comment11 pages, 10 figures

References in corpus (21)

• Theory of Bose-Einstein condensation in trapped gases
• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• Regimes of quantum degeneracy in trapped 1D gases
• Atom interferometry with Bose-Einstein condensates in a double-well potential
• Low-dimensional Bose liquids: beyond the Gross-Pitaevskii approximation
• Nonlinear Self-Trapping of Matter Waves in Periodic Potentials
• Ground state properties of a one-dimensional condensate of hard core bosons in a harmonic trap
• One-dimensional Bosons in Three-dimensional Traps
• General variational many-body theory with complete self-consistency for trapped bosonic systems
• High-momentum tail in the Tonks gas under harmonic confinement
• Pathway from condensation via fragmentation to fermionization of cold bosonic systems
• Ultracold Few-Boson Systems in a Double-Well Trap
• Ground-state properties of one-dimensional ultracold Bose gases in a hard-wall trap
• Evolution from a Bose-Einstein condensate to a Tonks-Girardeau gas: An exact diagonalization study
• Correlations in Ultracold Trapped Few-Boson Systems: Transition from Condensation to Fermionization
• Ground-state properties of hard core bosons in one-dimensional harmonic traps
• Exact ground state of finite Bose-Einstein condensates on a ring
• Low-density, one-dimensional quantum gases in a split trap
• Multiconfigurational Hartree-Fock theory for identical bosons in a double well
• Fermionization of a bosonic gas under highly-elongated confinement: A diffusion quantum Monte Carlo study
• Self-consistent fragmented excited states of trapped condensates

Cited by in corpus (31)

• Role of excited states in the splitting dynamics of interacting Bose-Einstein condensates when ramping-up a barrier
• Few-boson dynamics in double wells: From single-atom to correlated-pair tunneling
• One-dimensional mixtures of several ultracold atoms: a review
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Composite fermionization of 1-D Bose-Bose mixtures
• Tunneling dynamics of few bosons in a double well
• Two trapped particles interacting by a finite-ranged two-body potential in two spatial dimensions
• Quantum gas mixtures in different correlation regimes
• A variational approach to repulsively interacting three-fermion systems in a one-dimensional harmonic trap
• Boson Pairs in a One-dimensional Split Trap
• Excitations of attractive 1-D bosons: Binding vs. fermionization
• Ground-state properties of few-Boson system in a one-dimensional hard wall potential with split
• Inter-species Tunneling in One-dimensional Bose Mixtures
• Transport and interaction blockade of cold bosonic atoms in a triple-well potential
• Interaction Driven Interband Tunneling of Bosons in the Triple Well
• Spectral properties and breathing dynamics of a few-body Bose-Bose mixture in a 1D harmonic trap
• Two-time correlation functions and the Lee-Yang zeros for an interacting Bose gas
• Binding between two-component bosons in one dimension
• Breathing mode in the Bose-Hubbard chain with a harmonic trapping potential
• Mesoscopic superpositions of Tonks-Girardeau states and the Bose-Fermi mapping
• Quench Dynamics of Two One-Dimensional Harmonically Trapped Bosons Bridging Attraction and Repulsion
• Quantum dynamics of two bosons in an anharmonic trap: Collective vs internal excitations
• Ultracold bosonic scattering dynamics off a repulsive barrier: coherence loss at the dimensional crossover
• Controlled excitation and resonant acceleration of ultracold few-boson systems by driven interactions in a harmonic trap
• Two Atoms in a Double Well: An Exact Solution
• Low-energy excitations of a boson pair in a double-well trap
• Interaction-controlled impurity transport in trapped mixtures of ultracold bosons
• Computation of local exchange coefficients in strongly interacting one-dimensional few-body systems: local density approximation and exact results
• Spectral Structure and Many-Body Dynamics of Ultracold Bosons in a Double-Well
• The granularity of weakly occupied bosonic fields beyond the local density approximation
• Modeling atom-atom interactions at low energy by Jost-Kohn potentials