Hubbard model for atomic impurities bound by the vortex lattice of a rotating BEC

Abstract

We investigate cold bosonic impurity atoms trapped in a vortex lattice formed by condensed bosons of another species. We describe the dynamics of the impurities by a bosonic Hubbard model containing occupation-dependent parameters to capture the effects of strong impurity-impurity interactions. These include both a repulsive direct interaction and an attractive effective interaction mediated by the BEC. The occupation dependence of these two competing interactions drastically affects the Hubbard model phase diagram, including causing the disappearance of some Mott lobes

5 pages main text, 18 pages supplemental material

References in corpus (24)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Observation of Fermi Polarons in a Tunable Fermi Liquid of Ultracold Atoms
• Mathematical theory and numerical methods for Bose-Einstein condensation
• Cavity QED with a Bose-Einstein condensate
• Spatial quantum noise interferometry in expanding ultracold atom clouds
• Non-standard Hubbard models in optical lattices: a review
• Quantum transport through a Tonks-Girardeau gas
• Mott insulator states of ultracold atoms in optical resonators
• Self-trapping of impurities in Bose-Einstein condensates: Strong attractive and repulsive coupling
• Self-Trapping of Bosons and Fermions in Optical Lattices
• Dynamics, dephasing and clustering of impurity atoms in Bose-Einstein condensates
• Bose-Hubbard model with occupation dependent parameters
• Ab initio derivation of Hubbard models for cold atoms in optical lattices
• Phase Boundary of the Boson Mott Insulator in a Rotating Optical Lattice
• Hall effects in Bose-Einstein condensates in a rotating optical lattice
• Deconstructing the Hubbard Hamiltonian by Ultrafast Quantum Modulation Spectroscopy in Solid-state Mott Insulators
• Excess noise depletion of a Bose-Einstein condensate in an optical cavity
• Density-induced processes in quantum gas mixtures in optical lattices
• Quantized Vortex States of Strongly Interacting Bosons in a Rotating Optical Lattice
• Dynamics of cold bosons in optical lattices: Effects of higher Bloch bands
• Loss of superfluidity by fermions in the boson Hubbard model on an optical lattice
• Phonon resonances in atomic currents through Bose-Fermi mixtures in optical lattices
• Tkachenko polarons in vortex lattices
• Variational Bose-Hubbard model revisited

Cited by in corpus (12)

• Artificial neural networks for density-functional optimizations in fermionic systems
• Species-selective confinement of atoms dressed with multiple radiofrequencies
• Probing the dynamic structure factor of a neutral Fermi superfluid along the BCS-BEC crossover using atomic impurity qubits
• Testing density-functional approximations on a lattice and the limits of the related Hohenberg-Kohn-type theorem
• Symmetries and boundary conditions with a twist
• Topological defect dynamics of vortex lattices in Bose--Einstein condensates
• Phase transition of ultracold atoms immersed in a BEC vortex lattice
• Density-dependent hopping for ultracold atoms immersed in a Bose-Einstein-condensate vortex lattice
• Exploring phonon-like interactions in one-dimensional Bose-Fermi mixtures
• Hydrodynamic signatures and spectral properties of the quantum vortex
• Quantum walks assisted by particle number fluctuations
• Witnessing entanglement via the geometric phase in a impurity-doped Bose-Einstein condensate