Quantum Walks of Two Interacting Anyons in 1D Optical Lattices
arXiv:1411.5600 · doi:10.1103/PhysRevA.90.063618
Abstract
We investigate continuous-time quantum walks of two indistinguishable anyons in one-dimensional lattices with both on-site and nearest-neighbor interactions based on the fractional Jordan-Wigner transformation. It is shown that the two-body correlations in position space are symmetric about the initial sites of two quantum walkers in the Bose limit ( ) and Fermi limit ( ), while in momentum space this happens only in the Bose limit. An interesting asymmetry arises in the correlation for most cases with the statistical parameter varying in between. It turns out that the origin of this asymmetry comes from the fractional statistics that anyons obey. On the other hand, the two-body correlations of hard-core anyons in position spaceshow uniform behaviors from anti-bunching to co-walking regardless of the statistical parameter. The momentum correlations in the case of strong interaction undergo a smooth process of two stripes smoothly merging into a single one, i.e. the evolution of fermions into hard-core bosons.
7 pages, 6 figures
References in corpus (14)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Universal computation by quantum walk
- Universal computation by multi-particle quantum walk
- A 2D Quantum Walk Simulation of Two-Particle Dynamics
- The 1D interacting anyon gas: low-energy properties and Haldane exclusion statistics
- Anyon-fermion mapping and applications to ultracold gases in tight waveguides
- Correlation Functions of One-Dimensional Lieb-Liniger Anyons
- Ground-state properties of hard-core anyons in one-dimensional optical lattices
- Statistics-dependent quantum co-walking of two particles in one-dimensional lattices with nearest-neighbor interactions
- Generalized exclusion statistics and degenerate signature of strongly interacting anyons
- Finite-temperature properties of hard-core bosons confined on one-dimensional optical lattices
- Bethe Ansatz for 1D interacting anyons
- Quantum correlations in continuos-time quantum walks of two indistinguishable particles
- Quantum Inverse Scattering Method with anyonic grading
Cited by in corpus (34)
- The Anyon Hubbard Model in One-Dimensional Optical Lattices
- Floquet realization and signatures of one-dimensional anyons in an optical lattice
- Engineering interactions and anyon statistics by multicolor lattice-depth modulations
- Ground-state properties of anyons in a one-dimensional lattice
- Density-dependent synthetic magnetism for ultracold atoms in optical lattices
- Ground State Properties of the One-Dimensional Unconstrained Pseudo-Anyon Hubbard Model
- Quantum dynamics on a lossy non-Hermitian lattice
- Multi-particle quantum walks and Fisher information in one-dimensional lattices
- Signatures of indistinguishability in bosonic many-body dynamics
- Probing the exchange statistics of one-dimensional anyon models
- Correlation functions of one-dimensional strongly interacting two-component gases
- Quantum walks in commensurate off-diagonal Aubry-André-Harper model
- Ground state properties of hard-core anyons in a harmonic potential
- Creating anyons from photons using a nonlinear resonator lattice subject to dynamic modulation
- Continuous-time quantum walks on planar lattices and the role of the magnetic field
- Statistically related many-body localization in the one-dimensional anyon Hubbard model
- Non-equilibrium dynamics of the anyonic Tonks-Girardeau gas at finite temperature
- Probing the sign of on-site Hubbard interaction by two-particle quantum walks
- Many-body interference in bosonic dynamics
- GPU-accelerated algorithms for many-particle continuous-time quantum walks
- Dynamics of discrete-time quantum walk with time-correlated unitary noise
- Quantum computation from fermionic anyons on a 1D lattice
- Quantum walks accompanied by spin flipping in one-dimensional optical lattices
- Quantum walk of two anyons across a statistical boundary
- One-dimensional hard-core anyon gas in a harmonic trap at finite temperature
- Unidirectional quantum walk of two correlated particles: Separating bound-pair and unbound wavepacket components
- Quantum walk on a square lattice with identical particles
- Universal properties and dynamical bosonization of strongly interacting one-dimensional anyons
- Beats, broken-symmetry superfluid on a one dimensional anyon Hubbard model
- Boson-Anyon-Fermion Mapping and Anyon Construction in One Dimension
- Quench Dynamics of Anyon Tonks-Girardeau Gases
- Quantum walkers in a disordered lattice with power-law hopping
- Necessity of orthogonal basis vectors for the two-anyon problem in one-dimensional lattice
- One-dimensional anyons in relativistic field theory