# Statistics-dependent quantum co-walking of two particles in one-dimensional lattices with nearest-neighbor interactions

@article{Qin2014StatisticsdependentQC, title={Statistics-dependent quantum co-walking of two particles in one-dimensional lattices with nearest-neighbor interactions}, author={Xizhou Qin and Yongguan Ke and Xi-Wen Guan and Zhibing Li and Natan Andrei and Chaohong Lee}, journal={Physical Review A}, year={2014}, volume={90}, pages={062301} }

We investigate continuous-time quantumwalks of two indistinguishable particles [two bosons, or two fermions, or two hard-core bosons (HCBs)] in one-dimensional lattices with nearest-neighbor interactions. The results for two HCBs are consistent with the recent experimental observation of two-magnon dynamics [Fukuhara et al., Nature (London) 502, 76 (2013)]. The two interacting particles can undergo independent walking and/or co-walking depending on both quantum statistics and interaction…

## 31 Citations

Two component quantum walk in one-dimensional lattice with hopping imbalance

- PhysicsScientific reports
- 2021

It is shown that the inter-component interaction strength together with the hopping imbalance between the components exhibit distinct features in the quantum walk for different initial states, which facilitates the complete reflection of both of them from each other when the two particles are initially at the two opposite edges of the lattice.

Interacting quantum walkers: Two-body bosonic and fermionic bound states

- Physics
- 2015

We investigate the dynamics of bound states of two interacting particles, either bosons or fermions, performing a continuous-time quantum walk on a one-dimensional lattice. We consider the situation…

Quantum centipedes: collective dynamics of interacting quantum walkers

- Physics
- 2016

We consider the quantum centipede made of $N$ fermionic quantum walkers on the one-dimensional lattice interacting by means of the simplest of all hard-bound constraints: the distance between two…

Topological bound states in interacting Su-Schrieffer-Heeger rings.

- PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2018

The topological states reported here are intrinsically many-body in what concerns their real space manifestation, having no counterpart in single-particle states derived from effective models.

Hybrid atom-molecule quantum walks in a one-dimensional optical lattice

- PhysicsPhysical Review A
- 2018

We study hybrid atom-molecule quantum walks in one-dimensional optical lattices with two interacting bosonic atoms which may be converted into a molecule. The hybrid atom-molecule energy bands…

Light-cone and local front dynamics of a single-particle extended quantum walk

- PhysicsPhysical Review A
- 2019

We study the light-cone and front dynamics of a single particle continuous time extended quantum walk on a one dimensional lattice with finite range hopping. We show that, in general, for an…

Quantum correlations of identical particles subject to classical environmental noise

- PhysicsQuantum Inf. Process.
- 2016

This work proposes a measure for the quantum discord of indistinguishable particles, based on the definition of entanglement of particles given in Wiseman and Vaccaro, and observes that on-site interaction between particles have an important protective effect on correlations against the decoherence of the system.

Quantum dynamics on a lossy non-Hermitian lattice*

- Physics
- 2020

We investigate quantum dynamics of a quantum walker on a finite bipartite non-Hermitian lattice, in which the particle can leak out with certain rate whenever it visits one of the two sublattices.…

Quantum computational supremacy in the sampling of bosonic random walkers on a one-dimensional lattice

- PhysicsNew Journal of Physics
- 2019

We study the sampling complexity of a probability distribution associated with an ensemble ofidentical noninteracting bosons undergoing a quantum random walk on a one-dimensional lattice.With uniform…

Two-particle coined-quantum walk with long-range interaction

- PhysicsJournal of Physics A: Mathematical and Theoretical
- 2018

We present and study a two-particle quantum walk on the line in which the two particles interact via a long-range Coulombian-like interaction. We obtain the spectrum of the system as well as study…