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Title:  Topological Order in 1-Dimensional Quantum Dipolar Gases
Author:  Yuan Miao
As Contributor:   Yuan Miao
Type: Master's
Field: Physics
  • Condensed Matter Physics - Theory
Approach: Theoretical
Degree granting institution:  University of Stuttgart
Supervisor(s): Hans Peter B├╝chler
Defense date:  2017-08-24


Here we analyse the symmetry protected topological phases in 1-dimensional quantum gases with dipole-dipole interaction. Extended Bose Hubbard model and its spin-1 counterparts (AKLT model, Haldane chain model) are derived and their physical properties are explained. We focus on the symmetry protected nature of the Haldane phase in the models mentioned above, and obtain results concerning the edge modes and phase transitions. Moreover, it is obtained by analytic methods, e.g. bosonisation, that the long-range dipole-dipole interaction will not jeopardise the Haldane phase, and the phase transitions remain the same, too. Further development and connections to the state-of-the-art ultracold atom experiments are mentioned.

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