Multi-particle Wannier states and Thouless pumping of interacting bosons

Abstract

The study of topological effects in physics is a hot area, and only recently researchers were able to address the important issues of topological properties of interacting quantum systems. But it is still a great challenge to describe multi-particle and interaction effects. Here, we introduce multi-particle Wannier states for interacting systems with co-translational symmetry. We reveal how the shift of multi-particle Wannier state relates to the multi-particle Chern number, and study the two-boson Thouless pumping in an interacting Rice-Mele model. In addition to the bound-state Thouless pumping in which two bosons move unidirectionally as a whole, we find topologically resonant tunneling in which two bosons move unidirectionally, one by the other, provided the neighboring-well potential bias matches the interaction energy. Our work creates a new paradigm for multi-particle topological effects and lays a cornerstone for detecting interacting topological states.

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• Topological charge pumping in the interacting bosonic Rice-Mele model
• Interaction-induced topological bound states and Thouless pumping in a one-dimensional optical lattice
• 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
• Interaction Induced Topological Charge Pump
• Disorder-induced Chern insulator in Harper--Hofstadter--Hatsugai model
• Interactions enable Thouless pumping in a nonsliding lattice
• Quantized Topological Anderson-Thouless Pump
• Radiative topological biphoton states in modulated qubit arrays
• Interaction-induced topological states of photon pairs
• Interplay between disorder and topology in Thouless pumping on a superconducting quantum processor
• Dispersion Suppressed Topological Thouless Pumping
• Topological Gaps in Quasi-Periodic Spin Chains: A Numerical and K-Theoretic Analysis
• Geometry-dependent skin effect and anisotropic Bloch oscillations in a non-Hermitian optical lattice
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• Interaction-induced multiparticle bound states in the continuum
• Doublons, topology and interactions in a one-dimensional lattice
• Topological phase transitions of Thouless charge pumping realized in helical organic molecules with long-range hoppings
• Topological invariants for interacting systems: from twisted boundary condition to center-of-mass momentum
• Nonlinear Thouless Pumping of Solitons Across an Impurity
• Floquet band engineering with Bloch oscillations
• Phonon-induced breakdown of Thouless pumping in the Rice-Mele-Holstein model
• Correlation-induced phase transitions and mobility edges in an interacting non-Hermitian quasicrystal
• Enhanced repulsively bound atom pairs in topological optical lattice ladders
• Transport of Vector Solitons in Spin-Dependent Nonlinear Thouless Pumps
• Topological quantum pump of strongly interacting fermions in coupled chains
• Plateau transitions of spin pump and bulk-edge correspondence
• Interaction driven topological phase transitions of hardcore bosons on a two-leg ladder
• Topological pumping induced by spatiotemporal modulation of interaction
• Flux induced re-entrant dynamics in the quantum walk of interacting bosons
• Two-Dimensional Thouless Pumping of Ultracold Fermions in Obliquely Introduced Optical Superlattice
• Stable interaction-induced Anderson-like localization embedded in standing waves
• Topological optical Raman superlattices
• Hong-Ou-Mandel Interference in a temporal-average-inversion-symmetric chain
• Symmetry-protected Landau-Zener-Stückelberg-Majorana interference and non-adiabatic topological transport of edge states
• Generalized Aubry-Andre-Harper Models in Optical Superlattices
• Two-body interaction induced phase transitions and intermediate phases in nonreciprocal non-Hermitian quasicrystals
• Topologically protected quantized changes of the distance between atoms
• Asymmetric topological pumping in nonparaxial photonics
• Interaction-induced chiral-transport inversion
• Mapping Chern numbers in quasi-periodic interacting spin chains
• Quantum theory of fractional topological pumping of lattice solitons
• Inter-species topological phases via a dynamical gauge field
• Quantum emulation of topological magneto-optical effects using ultracold atoms
• Reentrant topology and reverse pumping in a quasiperiodic flux ladder
• Topological two-particle dynamics in a periodically driven lattice model with on-site interactions
• Topological bound states in a lattice of rings with nearest-neighbour interactions
• Correlated dynamics of three-particle bound states induced by emergent impurities in Bose-Hubbard model