Dimer model implementations of lattice quantum loop gases

Birgitta Whaley
University of California, Berkeley (UC Berkeley)

I present numerical studies of lattice quantum loop gas Hamiltonians and the d-isotopic wave functions that can arise as their ground states. A dimer model implementation is studied with quantum Monte Carlo methods. Metropolis sampling of the d-isotopic wave function is used to study the phase diagram and ground state averages of loop length for the dimer model on a triangular lattice. Finite size calculations indicate presence of a critical phase between ordered long and short loop phases. Low-lying excitations and their scaling with system size are studied with Monte Carlo correlation function analysis and with exact diagonalization for smaller system sizes. I shall also present a physical model for potential realization of this dimer model using trapped dipolar molecules in an optical lattice.

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