Interaction Induced Topological Charge Pump

Abstract

Based on a topological transition of the symmetry protected topological phase (SPT), an interaction induced topological charge pump (iTCP) is proposed with the symmetry breaking parameter as a synthetic dimension. It implies that the phase boundary of the SPT is the topological obstruction although iTCP and the gap closing singularity is stable for symmetry breaking perturbations. We have confirmed the bulk-edge correspondence for this iTCP using DMRG for the Rice-Mele model with nearest-neighbor interactions. As for a realization in optical lattices, an interaction sweeping pump protocol is proposed as well.

5+2 pages, 4+4 figures

References in corpus (8)

• The density-matrix renormalization group in the age of matrix product states
• Quantum degenerate dipolar Fermi gas
• Characterization of a topological Mott insulator in one dimension
• Spin pumping and measurement of spin currents in optical superlattices
• Quantized pumping and phase diagram topology of interacting bosons
• Interband Coherence Induced Correction to Adiabatic Pumping in Periodically Driven Systems
• Various Topological Mott insulators in strongly-interacting boson system in one-dimensional superlattice
• Topological pumping in the one-dimensional Bose-Hubbard model

Cited by in corpus (28)

• Thouless pumping and topology
• Quantisation and its breakdown in a Hubbard-Thouless pump
• Two-dimensional nonlinear Thouless pumping of matter waves
• Splitting of topological charge pumping in an interacting two-component fermionic Rice-Mele Hubbard model
• Interactions enable Thouless pumping in a nonsliding lattice
• Quantized Topological Anderson-Thouless Pump
• Thouless pumping in a driven-dissipative Kerr resonator array
• Realizing a symmetry protected topological phase through dimerized interactions
• Thouless pumping and trapping of two-component gap solitons
• Stabilization of Hubbard-Thouless pumps through nonlocal fermionic repulsion
• Topological invariants for interacting systems: from twisted boundary condition to center-of-mass momentum
• Topological charge pumping in quasiperiodic systems characterized by Bott index
• Phonon-induced breakdown of Thouless pumping in the Rice-Mele-Holstein model
• Topological pump and bulk-edge-correspondence in an extended Bose-Hubbard model
• Plateau transitions of spin pump and bulk-edge correspondence
• Anomalous pumping in the non-Hermitian Rice-Mele model
• Quantized Thouless pumps protected by interactions in dimerized Rydberg tweezer arrays
• Topological pumping induced by spatiotemporal modulation of interaction
• Topological pump of $SU(Q)$ quantum chain and Diophantine equation
• Bulk-edge Correspondence in the Adiabatic Heuristic Principle
• Charge pumps, boundary modes, and the necessity of unnecessary criticality
• Topological phases of spinless $p$-orbital fermions in zigzag optical lattices
• Topologically protected quantized changes of the distance between atoms
• Absence of disordered Thouless pumps at finite frequency
• Charge pumps, pivot Hamiltonians and symmetry-protected topological phases
• Connecting Topological Anderson and Mott Insulators in Disordered Interacting Fermionic Systems
• Spectrum of localized states in fermionic chains with defect and adiabatic charge pumping
• Equivariant Parameter Families of Spin Chains: A Discrete MPS Formulation