Erlangen 2018 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 27: Quantum Gases (Bosons) III

Q 27.5: Talk

Monday, March 5, 2018, 17:15–17:30, K 2.020

Statistically Induced Phase Transition in the Extended Anyon-Hubbard Model — •Kevin Jägering, Shijie Hu, Martin Bonkhoff, Imke Schneider, Axel Pelster, and Sebastian Eggert — Physics Department and Research Center OPTIMAS, Technische Universität Kaiserslautern, Erwin-Schrödinger Straße 46, 67663 Kaiserslautern, Germany

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 exclusion 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 employ bosonization to derive a low-energy field theory in order to describe the universal behaviour of the system near the critical points, and analyze the mechanism behind statistically induced phase transitions present in the system.