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.

arXiv comment14 pages, 9 figures

References in corpus (53)

• Topological Insulators
• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Experimental realisation of the topological Haldane model
• Quantum Spin Hall Effect
• A spin-orbit coupled Bose-Einstein condensate
• Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Direct Measurement of the Zak phase in Topological Bloch Bands
• Topological Bands for Ultracold Atoms
• Spin-Orbit Coupled Degenerate Fermi Gases
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Zoo of quantum-topological phases of matter
• Entanglement of atoms via cold controlled collisions
• Controlled Collisions for Multiparticle Entanglement of Optically Trapped Atoms
• The Quantum-Mechanical Position Operator in Extended Systems
• A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
• Topological Thouless Pumping of Ultracold Fermions
• Repulsively bound atom pairs in an optical lattice
• Experimental realization of a symmetry protected topological phase of interacting bosons with Rydberg atoms
• Resonance superfluidity in a quantum degenerate Fermi gas
• Coherent transport of neutral atoms in spin-dependent optical lattice potentials
• Observation of the topological Anderson insulator in disordered atomic wires
• Bulk-boundary correspondence from the inter-cellular Zak phase
• Uncover Topology by Quantum Quench Dynamics
• Exploring Interacting Topological Insulators with Ultracold Atoms: the Synthetic Creutz-Hubbard Model
• Quantum Computation with a One-Dimensional Optical Lattice
• Two-particle states in the Hubbard model
• Unified bulk-boundary correspondence for band insulators
• Spin-Dependent Hubbard Model and a Quantum Phase Transition in Cold Atoms
• Two-body physics in the Su-Schrieffer-Heeger model
• Ultracold bosons with short-range interaction in regular optical lattices
• Topological edge states of bound photon pairs
• Multi-particle Wannier states and Thouless pumping of interacting bosons
• Semi-synthetic zigzag optical lattice for ultracold bosons
• Topological charge pumping in the interacting bosonic Rice-Mele model
• Ultra-cold bosons in zig-zag optical lattices
• Microwave control of atomic motional states in a spin-dependent optical lattice
• Spin-dependent Optical Superlattice
• Quantized pumping and phase diagram topology of interacting bosons
• Inequivalent Berry phases for the bulk polarization
• Multihole edge states in Su-Schrieffer-Heeger chains with interactions
• Topological classification of adiabatic processes
• Tunnelling couplings in discrete lattices, single particle band structure and eigenstates of interacting atom pairs
• Topological two-body bound states in the interacting Haldane model
• Symmetry Protected Quantization and Bulk-Edge Correspondence of Massless Dirac Fermions: Application to Fermionic Shastry-Sutherland Model
• Topological magnon bound-states in periodically modulated Heisenberg XXZ chains
• Dimer of two bosons in a one-dimensional optical lattice
• Topological bound states in interacting Su-Schrieffer-Heeger rings
• Hidden string order in a hole-superconductor with extended correlated hopping
• Generalized Bloch theorem and topological characterization
• Topological invariant and cotranslational symmetry in strongly interacting multi-magnon systems

Cited by in corpus (34)

• Thouless pumping and topology
• Quantisation and its breakdown in a Hubbard-Thouless pump
• Interaction-induced lattices for bound states: Designing flat bands, quantized pumps and higher-order topological insulators for doublons
• Effect of disorder on topological charge pumping in the Rice-Mele model
• Topological quantum transport and spatial entanglement distribution via disordered bulk channel
• Splitting of topological charge pumping in an interacting two-component fermionic Rice-Mele Hubbard model
• Interaction-induced topological properties of two bosons in flat-band systems
• Interactions enable Thouless pumping in a nonsliding lattice
• Radiative topological biphoton states in modulated qubit arrays
• Topological pumping assisted by Bloch oscillations
• Geometry-dependent skin effect and anisotropic Bloch oscillations in a non-Hermitian optical lattice
• Topological transport of mobile impurities
• Stabilization of Hubbard-Thouless pumps through nonlocal fermionic repulsion
• Doublons, topology and interactions in a one-dimensional lattice
• Topological invariants for interacting systems: from twisted boundary condition to center-of-mass momentum
• Phonon-induced breakdown of Thouless pumping in the Rice-Mele-Holstein model
• Enhanced repulsively bound atom pairs in topological optical lattice ladders
• Interaction driven topological phase transitions of hardcore bosons on a two-leg ladder
• Quantized Thouless pumps protected by interactions in dimerized Rydberg tweezer arrays
• Topological pumping induced by spatiotemporal modulation of interaction
• Topological two-body bands in a multiband Hubbard model
• Uncover band topology via quantized drift in two-dimensional Bloch oscillations
• Topological optical Raman superlattices
• Topological pump of $SU(Q)$ quantum chain and Diophantine equation
• Chern numbers for the two-body Hofstadter-Hubbard butterfly
• Topological charge and spin pumping in a semiconductor nanowire
• Reentrant topology and reverse pumping in a quasiperiodic flux ladder
• Interaction-Induced Higher-Order Topological Insulator via Floquet Engineering
• Inter-species topological phases via a dynamical gauge field
• Topological bound states in a lattice of rings with nearest-neighbour interactions
• Topological two-body interaction obstructing trivial ground states: an indicator of fractional Chern insulators
• Variational approach for the two-body problem in a multiband extended-Hubbard model
• Topological two-particle dynamics in a periodically driven lattice model with on-site interactions
• Correlated dynamics of three-particle bound states induced by emergent impurities in Bose-Hubbard model