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Metastable quantum phase transitions in a periodic one-dimensional Bose gas: II. Many-body theory
R. Kanamoto, L. D. Carr, M. Ueda
We show that quantum solitons in the Lieb-Liniger Hamiltonian are precisely the yrast states. We identify such solutions clearly with Lieb's type II excitations from weak to strong…
Mesoscopic Effects in Quantum Phases of Ultracold Quantum Gases in Optical Lattices
L. D. Carr, M. L. Wall, D. G. Schirmer +3
We present a wide array of quantum measures on numerical solutions of 1D Bose- and Fermi-Hubbard Hamiltonians for finite-size systems with open boundary conditions. Finite size eff…
Graphene Nanoengineering and the Inverse-Stone-Thrower-Wales Defect
Mark T. Lusk, David T. Wu, L. D. Carr
We analyze a new fundamental building block for monolithic nanoengineering on graphene: the Inverse-Stone-Thrower-Wales (ISTW) defect. The ISTW is formed from a pair of joined pent…
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…