Bulletin of the American Physical Society
APS March Meeting 2018
Monday–Friday, March 5–9, 2018; Los Angeles, California
Session P26: Quantum Gases in Optical Lattices
2:30 PM–5:30 PM,
Wednesday, March 7, 2018
LACC Room: 404A
Sponsoring Unit: DAMOP
Chair: Haiping Hu, University of Texas at Dallas
Abstract: P26.00015 : Statistically induced phase transition in the extended Anyon-Hubbard model*
5:18 PM–5:30 PM
We investigate the impact of non-trivial exchange statistics on bosonic SPT (Symmetry protected Topological) phases in one-dimensional optical lattices. As the underlying model we study the anyonic version of the extended Bose-Hubbard Hamiltonian with a generalized Pauli principle, restricting the maximal occupation up to two particles per site. Combining numerical DMRG techniques and a Gutzwiller Mean-Field treatment, we present the phase diagram of the system for different values of the statistical parameter. Additionally we employed bosonization to derive a low-energy field theory in order to describe the universal behavior of the system near the critical points, and analyze the mechanism behind statistically induced phase transitions present in the system.
*This work was supported by the Deutsche Forschungsgemeinschaft (DFG) via the research centers SFB/TR49 and SFB/TR185.
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