Topological quantum slinky motion in resonant extended Bose-Hubbard model
arXiv:2410.13252 · doi:10.1103/PhysRevB.111.235101
Abstract
We study the one-dimensional Bose-Hubbard model under the resonant condition, where a series of quantum slinky oscillations occur in a two-site system for boson numbers . In the strong interaction limit, it can be shown that the quantum slinky motions become the dominant channels for boson propagation, which are described by a set of effective non-interacting Hamiltonians. They are sets of generalized Su-Schrieffer-Heeger chains with an -site unit cell, referred to as trimerization, tetramerization, and pentamerization, etc., possessing non-trivial Zak phases. The corresponding edge states are demonstrated by the -boson bound states at the ends of the chains. We also investigate the dynamic detection of edge boson clusters through an analysis of quench dynamics. Numerical results indicate that stable edge oscillations clearly manifest the interaction-induced topological features within the extended Bose-Hubbard model.
10 pages, 4 figures
References in corpus (46)
- Topological Insulators
- Topological insulators and superconductors
- 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
- Berry Phase Effects on Electronic Properties
- Unpaired Majorana fermions in quantum wires
- Topological Insulators in Three Dimensions
- Weyl and Dirac Semimetals in Three Dimensional Solids
- Topological Insulators with Inversion Symmetry
- Classification of topological insulators and superconductors in three spatial dimensions
- Classification of topological quantum matter with symmetries
- Topological insulators and superconductors: ten-fold way and dimensional hierarchy
- Weyl Semimetal in a Topological Insulator Multilayer
- Dirac semimetal and topological phase transitions in A3Bi (A=Na, K, Rb)
- Dirac semimetal in three dimensions
- Three Dimensional Dirac Semimetal and Quantum Transports in Cd3As2
- Chern semi-metal and Quantized Anomalous Hall Effect in HgCr2Se4
- Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
- Experimental observation of Weyl points
- Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice
- Topological Origin of Zero-Energy Edge States in Particle-Hole Symmetric Systems
- Repulsively bound atom pairs in an optical lattice
- Direct Observation of Second Order Atom Tunnelling
- Spin Hall Insulator
- Control of Interaction-Induced Dephasing of Bloch Oscillations
- Anomalous Topological Phases and Unpaired Dirac Cones in Photonic Floquet Topological Insulators
- Lattice models with exactly solvable topological hinge and corner states
- Few-boson dynamics in double wells: From single-atom to correlated-pair tunneling
- Two-particle states in the Hubbard model
- Metastable superfluidity of repulsive fermionic atoms in optical lattices
- Majorana Modes in Driven-Dissipative Atomic Superfluids With Zero Chern Number
- Quantum liquid of repulsively bound pairs of particles in a lattice
- Scattering resonances and two-particle bound states of the extended Hubbard model
- Three-body bound states in a lattice
- Dynamical topological invariant for non-Hermitian Rice-Mele model
- Coherent control of a self-trapped Bose-Einstein condensate
- Dimer of two bosons in a one-dimensional optical lattice
- Coherent shift of localized bound pair in Bose Hubbard model
- Quantum dynamics of repulsively bound atom pairs in the Bose-Hubbard model
- Interaction-induced topological states of photon pairs
- Sudden death of particle-pair Bloch oscillation and unidirectional propagation in a one-dimensional driven optical lattice
- Detecting multi-atomic composite states in optical lattices
- Dynamical bulk-edge correspondence for nodal lines in parameter space
- Fast transfer and efficient coherent separation of bound cluster in the extended Hubbard model
- Two-doublon Bloch oscillations in the mass-imbalanced extended Fermi-Hubbard model