Correlation induced localization of lattice trapped bosons coupled to a Bose-Einstein condensate

Abstract

We investigate the ground state properties of a lattice trapped bosonic system coupled to a Lieb-Liniger type gas. Our main goal is the description and in depth exploration and analysis of the two-species many-body quantum system including all relevant correlations beyond the standard mean-field approach. To achieve this, we use the Multi-Configuration Time-Dependent Hartree method for Mixtures (ML-MCTDHX). Increasing the lattice depth and the interspecies interaction strength, the wave function undergoes a transition from an uncorrelated to a highly correlated state, which manifests itself in the localization of the lattice atoms in the latter regime. For small interspecies couplings, we identify the process responsible for this cross-over in a single-particle-like picture. Moreover, we give a full characterization of the wave function's structure in both regimes, using Bloch and Wannier states of the lowest band, and we find an order parameter, which can be exploited as a corresponding experimental signature. To deepen the understanding, we use an effective Hamiltonian approach, which introduces an induced interaction and is valid for small interspecies interaction. We finally compare the ansatz of the effective Hamiltonian with the results of the ML-MCTDHX simulations.

19 pages, 7 figures

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Cited by in corpus (13)

• Coalescence of Two Impurities in a Trapped One-dimensional Bose Gas
• Many-body quantum dynamics and induced correlations of Bose polarons
• Induced correlations between impurities in a one-dimensional quenched Bose gas
• Dissipative correlated dynamics of a moving impurity immersed in a Bose-Einstein Condensate
• Doping a lattice-trapped bosonic species with impurities: From ground state properties to correlated tunneling dynamics
• Entanglement-assisted tunneling dynamics of impurities in a double well immersed in a bath of lattice trapped bosons
• Polarons and their induced interactions in highly imbalanced triple mixtures
• In-medium bound states of two bosonic impurities in a one-dimensional Fermi gas
• Impurity induced quantum chaos for an ultracold bosonic ensemble in a double-well
• Interaction induced single impurity tunneling in a binary mixture of trapped ultracold bosons
• Interspecies entanglement with impurity atoms in a lattice gas
• Bunching-antibunching crossover in harmonically trapped few-body Bose-Fermi mixtures
• Entangling lattice-trapped bosons with a free impurity: impact on stationary and dynamical properties