symmetry and Berry phase of bosonic ladder
arXiv:2304.09533 · doi:10.1103/PhysRevA.108.013319
Abstract
Bose gas on a two-leg ladder exhibits an interesting topological phase. We show the presence of a bosonic symmetry-protected-topological (SPT) phase protected by symmetry. This symmetry leads to fractional quantization of Berry phase, that is a topological order parameter to identify the bulk. Using the Berry phase, we have shown that the interacting bosonic system possesses rich topological phases depending on particle density and strength of interaction. Based on the bulk-edge correspondence, each edge state of the SPT phases is discussed in relation to the Berry phases. Especially we have found an intermediate phase that is not adiabatically connected to a simple adiabatic limit, that possesses unconventional edge states, which we have numerically demonstrate by employing the density-matrix-renormalization group algorithm.
12 pages, 14 figures
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