680 citations · 1.6k across the 17 of their papers we have counts for
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Metastable Quantum Phase Transitions in a Periodic One-dimensional Bose Gas: Mean-Field and Bogoliubov Analyses
R. Kanamoto, L. D. Carr, M. Ueda
We generalize the concept of quantum phase transitions, which is conventionally defined for a ground state and usually applied in the thermodynamic limit, to one for \emph{metastab…
Emergent Time Scale in Entangled Quantum Dynamics of Ultracold Molecules in Optical Lattices
M. L. Wall, L. D. Carr
We derive a novel lattice Hamiltonian, the \emph{Molecular Hubbard Hamiltonian} (MHH), which describes the essential many body physics of closed-shell ultracold heteronuclear molec…
Ultracold Atoms in 1D Optical Lattices: Mean Field, Quantum Field, Computation, and Soliton Formation
R. V. Mishmash, L. D. Carr
In this work, we highlight the correspondence between two descriptions of a system of ultracold bosons in a one-dimensional optical lattice potential: (1) the discrete nonlinear Sc…
Experiments on Multidimensional Solitons
Joachim Brand, L. D. Carr, B. P. Anderson
This article presents an overview of experimental efforts in recent years related to multidimensional solitons in Bose-Einstein condensates. We discuss the techniques used to gener…
Quantum phase transitions in the Fermi-Bose Hubbard model
L. D. Carr, M. J. Holland
We propose a multi-band Fermi-Bose Hubbard model with on-site fermion-boson conversion and general filling factor in three dimensions. Such a Hamiltonian models an atomic Fermi gas…