Interaction-induced topological bound states and Thouless pumping in a one-dimensional optical lattice

Abstract

We study topological features of interacting spin- 1 2 particles in one-dimensional state-dependent optical lattices. Due to the co-translational symmetry, we introduce the center-of-mass Zak phase with the help of center-of-mass momentum. There appear topological bound states composed by two particles in different spin states via tuning hopping and interaction strengths. Under symmetric open boundary conditions, topological edge bound-states appear as a result of the non-trivial center-ofmass Zak phase of bound-state band, which is protected by the center-of-mass inversion symmetry. The interaction plays a crucial role in the appearance of topological bound states and the system becomes completely trivial if the interaction is switched off. By periodically modulating the hopping and interaction strengths, we show how to implement topological Thouless pumping of bound states, in which the quantized shift of center-of-mass can be described by a non-trivial center-of-mass Chern number.

14 pages, 9 figures

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Cited by in corpus (5)

• Interaction-induced topological properties of two bosons in flat-band systems
• Topological pumping assisted by Bloch oscillations
• Topological two-body bands in a multiband Hubbard model
• Uncover band topology via quantized drift in two-dimensional Bloch oscillations
• Topological optical Raman superlattices