Topological Phase Transition and Charge Pumping in a One-Dimensional Periodically Driven Optical Lattice

Abstract

Experimental realizations of topological quantum systems and detections of topological invariants in ultracold atomic systems have been a greatly attractive topic. In this work, we propose a scheme to realize topologically different phases in a bichromatic optical lattice subjected to a periodically driven tilt harmonic oscillation, which can be effectively described by a superlattice model with tunable long-range hopping processes. By tuning the ratio of nearest-neighbor (NN) and next-nearest-neighbor (NNN) hopping amplitudes, the system undergoes a topological phase transition accompanied by the change of topological numbers of the lowest band from -1 to 2. Using a slowly time-periodic modulation, the system emerges distinct quantized topological pumped charges (TPCs) of atoms in the filled band for different topological phases. Our scheme is realizable in current cold atomic technique.

7 pages, 4 figures

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Cited by in corpus (7)

• Topological quantum matter with cold atoms
• Breakdown of the correspondence between the real-complex and delocalization-localization transitions in non-Hermitian quasicrystals
• Finite-size corrections to quantized particle transport in topological charge pumps
• Bulk-boundary correspondence in extended trimer Su-Schrieffer-Heeger model
• Topological phase transitions of Thouless charge pumping realized in helical organic molecules with long-range hoppings
• Effective Hamiltonian with tunable mixed pairing in driven optical lattices
• Transition from nodal loop to nodal chain phase in a periodically modulated optical lattice