Effects of long-range hopping and interactions on quantum walk in ordered and disordered lattices
arXiv:1605.04349 · doi:10.1103/PhysRevA.94.023601
Abstract
We study the effects of long-range hopping and long-range inter-particle interactions on quantum walk of hard-core bosons in ideal and disordered one-dimensional lattices. We find that the range of hopping has a much more significant effect on the particle correlation dynamics than the range of interactions. We illustrate that long-range hopping makes the correlation diagrams asymmetric with respect to the sign of the interaction and examine the relative role of repulsive and attractive interactions on the dynamics of scattering by isolated impurities and Anderson localization in dis- ordered lattices. We show that weakly repulsive interactions increase the probability of tunnelling through isolated impurities and decrease the localization.
References in corpus (24)
- Direct observation of Anderson localization of matter-waves in a controlled disorder
- Quantum walks of correlated particles
- Quantum Walk in Position Space with Single Optically Trapped Atoms
- Repulsively bound atom pairs in an optical lattice
- Spatial quantum noise interferometry in expanding ultracold atom clouds
- Towards fault-tolerant quantum computing with trapped ions
- Strongly Correlated Quantum Walks in Optical Lattices
- Ultracold Molecules in the Ro-Vibrational Triplet Ground State
- Ultracold heteronuclear molecules in a 3D optical lattice
- Universal spreading of wavepackets in disordered nonlinear systems
- Extended Bose-Hubbard Models with Ultracold Magnetic Atoms
- Coherent Excitation Transfer in a Spin Chain of Three Rydberg Atoms
- Creation of a low-entropy quantum gas of polar molecules in an optical lattice
- Quantum Correlations in Two-Particle Anderson Localization
- Dynamics in many-body localized quantum systems without disorder
- Many-body theory of excitation dynamics in an ultracold Rydberg gas
- Preparation of a quantum state with one molecule at each site of an optical lattice
- Trapped Rydberg Ions: From Spin Chains to Fast Quantum Gates
- Correlated Exciton Transport in Rydberg-Dressed-Atom Spin Chains
- Rydberg excitation of a single trapped ion
- Ultracold molecules: vehicles to scalable quantum information processing
- Entanglement growth in many-body localized systems with long-range interactions
- Quantum correlations in continuos-time quantum walks of two indistinguishable particles
- Random Walks on Complex Networks
Cited by in corpus (24)
- Anderson localization in generalized discrete time quantum walks
- Quantum walks with sequential aperiodic jumps
- Continuous-time quantum walk on spatially correlated noisy lattices
- Noisy quantum walks of two indistinguishable interacting particles
- Prethermalization and nonreciprocal phonon transport in a levitated optomechanical array
- Dynamics of Rydberg excitations and quantum correlations in an atomic array coupled to a photonic crystal waveguide
- Multiple transitions between normal and hyperballistic diffusion in quantum walks with time-dependent jumps
- Floquet Anderson Localization of Two Interacting Discrete Time Quantum Walks
- Enhancing entanglement with the generalized elephant quantum walk from localized and delocalized states
- Scaling and crossover behaviour in a truncated long range quantum walk
- One-Dimensional Quantum Walks with a Position-Dependent Coin
- Probing the sign of on-site Hubbard interaction by two-particle quantum walks
- Disorder-induced two-body localised state in interacting quantum walks
- Anderson localization of composite particles
- Flux induced re-entrant dynamics in the quantum walk of interacting bosons
- Effects of long range hopping in the Bose-Hubbard model
- Quantum walk on a toral phase space
- Absence of two-body delocalization transitions in the two-dimensional Anderson-Hubbard model
- Two-body mobility edge in the Anderson-Hubbard model in three dimensions: Molecular versus scattering states
- Revivals in One-dimensional Quantum Walks with a Time and Spin-dependent Phase Shift
- Scattering of a composite quasiparticle by an impurity on a lattice
- Probing Electron Localization and Delocalization in the Selective Long-Range Tight-Binding Model
- Quantum walks assisted by particle number fluctuations
- Quantum walkers in a disordered lattice with power-law hopping