Multiparticle quantum walk: a dynamical probe of topological many-body excitations
arXiv:2209.03569 · doi:10.1103/PhysRevB.108.035126
Abstract
Recent experiments demonstrated that single-particle quantum walks can reveal the topological properties of single-particle states. Here, we generalize this picture to the many-body realm by focusing on multiparticle quantum walks of strongly interacting fermions. After injecting particles with multiple flavors in the interacting SU Su-Schrieffer-Heeger chain, their multiparticle continuous-time quantum walk is monitored by a variety of methods. We find that the many-body Berry phase in the -body part of the spectrum signals a topological transition upon varying the dimerization, similarly to the single-particle case. This topological transition is captured by the single- and many-body mean chiral displacement during the quantum walk and remains present for strong interaction as well as for moderate disorder. Our predictions are well within experimental reach for cold atomic gases and can be used to detect the topological properties of many-body excitations through dynamical probes.
arXiv comment7 pages, 3 figures, and Supplemental Material
References in corpus (57)
- Topological Insulators
- Topological insulators and superconductors
- Berry Phase Effects on Electronic Properties
- Topological Photonics
- Topological Photonics
- Classification of topological quantum matter with symmetries
- Non-Abelian statistics and topological quantum information processing in 1D wire networks
- Entanglement spectrum of a topological phase in one dimension
- Quantum Computation and Decision Trees
- Direct Measurement of the Zak phase in Topological Bloch Bands
- Quantum walks of correlated particles
- Classical simulation of infinite-size quantum lattice systems in one spatial dimension
- The Quantum-Mechanical Position Operator in Extended Systems
- Quantum Walk in Position Space with Single Optically Trapped Atoms
- Topological Mott Insulators
- Repulsively bound atom pairs in an optical lattice
- Observation of topologically protected bound states in a one dimensional photonic system
- Photons Walking the Line: A quantum walk with adjustable coin operations
- Quantum dynamics of a single, mobile spin impurity
- Observation of the topological soliton state in the Su-Schrieffer-Heeger model
- Electron Localization in the Insulating State
- Quantum walk of a trapped ion in phase space
- Microscopic observation of magnon bound states and their dynamics
- An example of the difference between quantum and classical random walks
- Strongly Correlated Quantum Walks in Optical Lattices
- Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing
- Interacting topological insulators: a review
- Single particle Green's functions and interacting topological insulators
- Observation of the topological Anderson insulator in disordered atomic wires
- Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons
- Bulk-boundary correspondence of topological insulators from their Green's functions
- Many-body instability of Coulomb interacting bilayer graphene: RG approach
- Classification of interacting electronic topological insulators in three dimensions
- One-Dimensional Symmetry Protected Topological Phases and their Transitions
- Detecting topological invariants in nonunitary discrete-time quantum walks
- Direct probing of the Mott crossover in the SU() Fermi-Hubbard model
- Quantum walks of correlated photon pairs in two-dimensional waveguide arrays
- Topological invariants and interacting one-dimensional fermionic systems
- Topological phases: Classification of topological insulators and superconductors of non-interacting Fermions, and beyond
- Quantum gas microscopy of an attractive Fermi-Hubbard system
- Experimentally Detecting Quantized Zak Phases without Chiral Symmetry in Photonic Lattices
- Quantum-Mechanical Position Operator and Localization in Extended Systems
- Doublon-hole correlations and fluctuation thermometry in a Fermi-Hubbard gas
- Direct Observation of Topology from Single-photon Dynamics on a Photonic Chip
- Two-body physics in the Su-Schrieffer-Heeger model
- Boundary Fidelity and Entanglement in the symmetry protected topological phase of the SSH model
- Topological edge states of bound photon pairs
- Observation and uses of position-space Bloch oscillations in an ultracold gas
- Robustness of topologically protected edge states in quantum walk experiments with neutral atoms
- Entanglement topological invariants for one-dimensional topological superconductors
- Topological Fermi liquids from Coulomb interactions in the doped Honeycomb lattice
- Topological phases of a dimerized Fermi-Hubbard model for semiconductor nano-lattices
- Detecting topological invariants in chiral symmetric insulators via losses
- Detecting edge degeneracy in interacting topological insulators through entanglement entropy
- Pseudo-magnetic catalysis of the time-reversal symmetry breaking in graphene
- Interaction-induced topological states of photon pairs
- Detecting topology through dynamics in interacting fermionic wires