Correlation versus commensurability effects for finite bosonic systems in one-dimensional lattices

Abstract

We investigate few-boson systems in finite one-dimensional multi-well traps covering the full interaction crossover from uncorrelated to fermionized particles. Our treatment of the ground state properties is based on the numerically exact Multi-Configurational Time-Dependent Hartree method. For commensurate filling we trace the fingerprints of localisation, as the interaction strength increases, in several observables like reduced density matrices, fluctuations and momentum distribution. For filling factor larger than one we observe on-site repulsion effects in the densities and fragmentation of particles beyond the validity of the Bose-Hubbard model upon approaching the Tonks-Girardeau limit. The presence of an incommensurate fraction of particles induces incomplete localisation and spatial modulations of the density profiles, taking into account the finite size of the system.

16 pages, 16 figures

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• Phases, many-body entropy measures and coherence of interacting bosons in optical lattices
• Two-component few-fermion mixtures in a one-dimensional trap: numerical versus analytical approach
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• Correlations of strongly interacting ultracold dipolar bosons in optical lattices
• Interaction Driven Interband Tunneling of Bosons in the Triple Well
• Detecting One-Dimensional Dipolar Bosonic Crystal Orders via Full Distribution Functions
• Quantum dynamical response of ultracold few boson ensembles in finite optical lattices to multiple interaction quenches
• Ultracold dipolar few-boson ensembles in a triple well trap
• Contact and Structure Factor for Bosonic and Fermionic Mixtures
• Optical lattices as a tool to study defect-induced superfluidity
• Static and dynamic phases of a Tonks-Girardeau gas in an optical lattice
• Two-body correlations and natural orbital tomography in ultracold bosonic systems of definite parity
• On a fragmented condensate in a uniform Bose system
• Strongly interacting bosons in 1D disordered lattice: phase coherence of distorted Mott phases
• Commensurate and incommensurate 1D interacting quantum systems
• Ultracold bosons in one-dimensional harmonic and multi-well traps: a Quantum Monte Carlo vs a correlated pair approach
• Global and local condensate and superfluid fraction of a few hard core bosons in a cubic optical lattice plus external harmonic confinement
• One-Dimensional Quench Dynamics in an Optical Lattice: sine-Gordon and Bose-Hubbard Descriptions
• Ground state properties of a three-site Bose-Fermi ring with a small number of atoms