Quantum walk of two anyons across a statistical boundary
arXiv:2012.03977 · doi:10.1103/PhysRevResearch.4.L012007
Abstract
We model a quantum walk of identical particles that can change their exchange statistics by hopping across a domain wall in a 1D lattice. Such a "statistical boundary" is transparent to single particles and affects the dynamics only by swapping multiple particles arriving together. We find that the two-particle interference is dramatically altered by reflections of these bunched waves at the interface, producing strong measurable asymmetries. Depending on the phases on the two sides, a bunched wavepacket can get completely reflected or split into a superposition of a reflected wave and an antibunched wave. This leads to striking dynamics with two domain walls, where bunched waves can get trapped in between or fragment into multiple correlated single-particle wavepackets. These findings can be realized with density-dependent hopping in present-day atomic setups and open up a new paradigm of intrinsically many-body phenomena at statistical boundaries.
arXiv commentAccepted version: 4 pages, 7 figures + supplement
References in corpus (42)
- Non-Abelian Anyons and Topological Quantum Computation
- Anyons in an exactly solved model and beyond
- Quantum Simulation
- Universal computation by quantum walk
- Quantum walks of correlated particles
- Quantum walks: a comprehensive review
- Two-particle bosonic-fermionic quantum walk via 3D integrated photonics
- Quantum Simulators: Architectures and Opportunities
- Direct observation of anyonic braiding statistics at the =1/3 fractional quantum Hall state
- Simulating Lattice Gauge Theories within Quantum Technologies
- Fractional statistics in anyon collisions
- Strongly Correlated Quantum Walks in Optical Lattices
- Anyons and the quantum Hall effect - a pedagogical review
- Camparison of the Hanbury Brown-Twiss effect for bosons and fermions
- Floquet approach to lattice gauge theories with ultracold atoms in optical lattices
- An exact chiral spin liquid with non-Abelian anyons
- Hanbury Brown Twiss effect for ultracold quantum gases
- Realization of density-dependent Peierls phases to engineer quantized gauge fields coupled to ultracold matter
- A Short Introduction to Topological Quantum Computation
- Statistically induced Phase Transitions and Anyons in 1D Optical Lattices
- Floquet engineering of correlated tunneling in the Bose-Hubbard model with ultracold atoms
- Exact solution of double-delta function Bose gas through interacting anyon gas
- The physics of Hanbury Brown--Twiss intensity interferometry: from stars to nuclear collisions
- Observation of density-dependent gauge fields in a Bose-Einstein condensate based on micromotion control in a shaken two-dimensional lattice
- The Anyon Hubbard Model in One-Dimensional Optical Lattices
- Anyon-fermion mapping and applications to ultracold gases in tight waveguides
- Simulating quantum statistics with entangled photons: a continuous transition from bosons to fermions
- Floquet realization and signatures of one-dimensional anyons in an optical lattice
- Realization of a density-dependent Peierls phase in a synthetic, spin-orbit coupled Rydberg system
- Observation of Density-Induced Tunneling
- Hanbury-Brown and Twiss interference of anyons
- Exact dynamics following an interaction quench in a one-dimensional anyonic gas
- Dynamical properties of hard-core anyons in one-dimensional optical lattices
- Engineering interactions and anyon statistics by multicolor lattice-depth modulations
- Ground-state properties of anyons in a one-dimensional lattice
- Frustrated spin chains in strong magnetic field: dilute two-component Bose gas regime
- Quantum Walks of Two Interacting Anyons in 1D Optical Lattices
- Bosonic continuum theory of one-dimensional lattice anyons
- Critical points of the anyon-Hubbard model
- Anyonic Haldane insulator in one dimension
- The Hong-Ou-Mandel effect with atoms
- Probing the exchange statistics of one-dimensional anyon models