Topological quantum walks in momentum space with a Bose-Einstein condensate
arXiv:1906.12016 · doi:10.1103/PhysRevLett.124.050502
Abstract
We report the experimental implementation of discrete-time topological quantum walks of a Bose-Einstein condensate in momentum space. Introducing stroboscopic driving sequences to the generation of a momentum lattice, we show that the dynamics of atoms along the lattice is effectively governed by a periodically driven Su-Schrieffer-Heeger model, which is equivalent to a discrete-time topological quantum walk. We directly measure the underlying topological invariants through time-averaged mean chiral displacements, which are consistent with our experimental observation of topological phase transitions. We then observe interaction-induced localization in the quantum-walk dynamics, where atoms tend to populate a single momentum-lattice site under interactions that are non-local in momentum space. Our experiment opens up the avenue of investigating discrete-time topological quantum walks using cold atoms, where the many-body environment and tunable interactions offer exciting new possibilities.
arXiv comment6 pages, 4 figures
References in corpus (59)
- Topological Insulators
- Topological insulators and superconductors
- Feshbach Resonances in Ultracold Gases
- Experimental realisation of the topological Haldane model
- Edge states and topological invariants of non-Hermitian systems
- Topological phases of non-Hermitian systems
- Symmetry and Topology in Non-Hermitian Physics
- Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
- Topological characterization of periodically-driven quantum systems
- Quantum many-body systems out of equilibrium
- Anomalous edge state in a non-Hermitian lattice
- Non-Hermitian Chern bands
- On the phase structure of driven quantum systems
- Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
- Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
- Majorana Fermions in Equilibrium and Driven Cold Atom Quantum Wires
- Probing topological invariants in the bulk of a non-Hermitian optical system
- Observation of topologically protected bound states in a one dimensional photonic system
- Observation of the topological soliton state in the Su-Schrieffer-Heeger model
- Edge states and topological phases in non-Hermitian systems
- Topological Transition in a Non-Hermitian Quantum Walk
- Experimental reconstruction of the Berry curvature in a topological Bloch band
- A 2D Quantum Walk Simulation of Two-Particle Dynamics
- Periodic Table for Topological Bands with Non-Hermitian Bernard-LeClair Symmetries
- Observation of a dynamical topological phase transition
- Observation of the topological Anderson insulator in disordered atomic wires
- New topological invariants in non-Hermitian systems
- Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons
- Bulk--Boundary Correspondence for Chiral Symmetric Quantum Walks
- PT-Symmetry in Non-Hermitian Su-Schrieffer-Heeger model with complex boundary potentials
- Dynamical Topological Order Parameters far from Equilibrium
- Deterministic entanglement generation from driving through quantum phase transitions
- Topological invariance and global Berry phase in non-Hermitian systems
- Classification of Interacting Topological Floquet Phases in One Dimension
- Simultaneous Observation of Topological Edge State and Exceptional Point in an Open and Non-Hermitian System
- Simulating dynamic quantum phase transitions in photonic quantum walks
- Detecting topological invariants in nonunitary discrete-time quantum walks
- Dynamical preparation of Floquet Chern insulators
- Topological characterizations of an extended Su-Schrieffer-Heeger model
- Dynamical moments reveal a topological quantum transition in a photonic quantum walk
- Uncover Topology by Quantum Quench Dynamics
- Quantum Quenches in Chern Insulators
- Measuring Topological Number of a Chern-Insulator from Quench Dynamics
- Dynamical classification of topological quantum phases
- Observation of dynamical quantum phase transition by a superconducting qubit simulation
- Observation of emergent momentum-time skyrmions in parity-time-symmetric non-unitary quench dynamics
- Dynamical quantum phase transitions: Role of topological nodes in wavefunction overlaps
- Dynamical topological invariant after a quantum quench
- Quantum Walk in Momentum Space with a Bose-Einstein Condensate
- Atom-optics simulator of lattice transport phenomena
- Dynamical Buildup of a Quantized Hall Response from Non-Topological States
- Correlated dynamics in a synthetic lattice of momentum states
- Interacting atomic quantum fluids on momentum-space lattices
- Measuring Topological Invariants in Disordered Discrete Time Quantum Walks
- Topological Entanglement-Spectrum Crossing in Quench Dynamics
- Persistent Hall response in a quantum quench
- Measuring a Dynamical Topological Order Parameter in Quantum Walks
- Measuring the winding number in a large-scale chiral quantum walk
- Fixed points and emergent topological phenomena in a parity-time-symmetric quantum quench
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- Non-Hermitian Floquet phases with even-integer topological invariants in a periodically quenched two-leg ladder
- Emergent topology under slow non-adiabatic quantum dynamics
- Topological inheritance in half-SSH Hubbard models
- Quantum magnetometry using discrete-time quantum walk
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- Quantum walks on random lattices: Diffusion, localization and the absence of parametric quantum speed-up
- Periodic driving induced helical Floquet channels with ultracold atoms in momentum space
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- Probing coherence and noise tolerance in discrete-time quantum walks: unveiling self-focusing and breathing dynamics
- Topological gap solitons in Rabi Su-Schrieffer-Heeger lattices
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- Flux enhanced localization and reentrant delocalization in the quench dynamics of two interacting bosons on a Bose-Hubbard ladder
- Probing Chiral-Symmetric Higher-Order Topological Insulators with Multipole Winding Number
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- Coin dimensionality as a resource in quantum metrology involving discrete-time quantum walks
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- Demonstration of Discrete-Time Quantum Walks and Observation of Topological Edge States in a Superconducting Qutrit Chain
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- Ultracold atomic lattice systems for simulating topological phases: A review
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