Statistics-dependent quantum co-walking of two particles in one-dimensional lattices with nearest-neighbor interactions
arXiv:1409.0306 · doi:10.1103/PhysRevA.90.062301
Abstract
We investigate continuous-time quantum walks of two indistinguishable particles [bosons, fermions or hard-core bosons (HCBs)] in one-dimensional lattices with nearest-neighbor interactions. The results for two HCBs are well consistent with the recent experimental observation of two-magnon dynamics [Nature 502, 76 (2013)]. The two interacting particles can undergo independent- and/or co-walking depending on both quantum statistics and interaction strength. Two strongly interacting particles may form a bound state and then co-walk like a single composite particle with statistics-dependent walk speed. Analytical solutions for the scattering and bound states, which appear in the two-particle quantum walks, are obtained by solving the eigenvalue problem in the two-particle Hilbert space. In the context of degenerate perturbation theory, an effective single-particle model for the quantum co-walking is analytically derived and the walk seep of bosons is found to be exactly three times of the ones of fermions/HCBs. Our result paves the way for experimentally exploring quantum statistics via two-particle quantum walks.
9 pages, 5 figures, an extension with more new results for our unpublished arXiv:1402.3349
References in corpus (21)
- Topological characterization of periodically-driven quantum systems
- Universal computation by quantum walk
- Nonlinear atom interferometer surpasses classical precision limit
- Quantum walks of correlated particles
- Quantum Walk in Position Space with Single Optically Trapped Atoms
- Repulsively bound atom pairs in an optical lattice
- Exploring Topological Phases With Quantum Walks
- Realization of quantum walks with negligible decoherence in waveguide lattices
- Universal computation by multi-particle quantum walk
- A 2D Quantum Walk Simulation of Two-Particle Dynamics
- Discrete single-photon quantum walks with tunable decoherence
- Observation of Topological Phase Transitions in Photonic Quasicrystals
- Quantum Correlations in Two-Particle Anderson Localization
- Fractional Bloch oscillations in photonic lattices
- Quantum Walk on a Line with Two Entangled Particles
- Two-particle states in the Hubbard model
- Quantum random walk of two photons in separable and entangled state
- Spin dynamics for bosons in an optical lattice
- Scattering resonances and two-particle bound states of the extended Hubbard model
- Quantum correlations in continuos-time quantum walks of two indistinguishable particles
- Bose-Einstein Condensation of Particle-Hole Pairs in Ultracold Fermionic Atoms Trapped within Optical Lattices
Cited by in corpus (13)
- Interaction-induced topological properties of two bosons in flat-band systems
- Noisy quantum walks of two indistinguishable interacting particles
- Thermodynamic limit and boundary energy of the SU(3) spin chain with non-diagonal boundary fields
- Two bosonic quantum walkers in one-dimensional optical lattices
- Quantum walks in commensurate off-diagonal Aubry-André-Harper model
- Filling-dependent doublon dynamics in the one-dimensional Hubbard model
- NOON States via Quantum Walk of Bound Particles
- Bloch oscillations of multi-magnon excitations in a Heisenberg XXZ chain
- Many-body interference in bosonic dynamics
- Efficiency of fermionic quantum distillation
- Excitonic density-waves, bi-excitons and orbital selective pairing in two-orbital correlated chains
- Light-cone and local front dynamics of a single-particle extended quantum walk
- Spectral density of interacting pairs in low-dimensional finite lattices