Quantum correlations in continuos-time quantum walks of two indistinguishable particles

Abstract

We evaluate the degree of quantum correlation between two fermions (bosons) subject to continuous time quantum walks in a one-dimensional ring lattice with periodic boundary conditions. In our approach, no particle-particle interaction is considered. We show that the interference effects due to exchange symmetry can result into the appearance of non-classical correlations. The role played onto the appearance of quantum correlations by the quantum statistics of the particles, the boundary conditions, and the partition of the system is widely investigated. Quantum correlations also been investigated in a model mimicking the ballistic evolution of two indistinguishable particles in a 1D continuous space structure. Our results are consistent with recent quantum optics and electron quantum optics experiments where the showing up of two-particle non-classical correlations has been observed even in the absence of mutual interaction between the particles.

12 pages, 5 figures

References in corpus (9)

• Quantum walks of correlated particles
• Quantum Correlations in Two-Particle Anderson Localization
• Linear entropy as an entanglement measure in two-fermion systems
• Quantum random walk of two photons in separable and entangled state
• Transport and Quantum Walk of Nonclassical Light in Coupled Waveguides
• Entanglement dynamics of electron-electron scattering in low-dimensional semiconductor systems
• Continuous-time quantum walks on one-dimension regular networks
• Quantum transport on two-dimensional regular graphs
• A measure of tripartite entanglement in bosonic and fermionic systems

Cited by in corpus (9)

• Entanglement in indistinguishable particle systems
• Time-evolution of tripartite quantum discord and entanglement under local and non-local random telegraph noise
• Statistics-dependent quantum co-walking of two particles in one-dimensional lattices with nearest-neighbor interactions
• Effect of Markov and Non-Markov Classical Noise on Entanglement Dynamics
• Noisy quantum walks of two indistinguishable interacting particles
• Two bosonic quantum walkers in one-dimensional optical lattices
• Quantum walks in commensurate off-diagonal Aubry-André-Harper model
• Light-cone and local front dynamics of a single-particle extended quantum walk
• Bath-induced correlations in an infinite-dimensional Hilbert space