Unidirectional quantum walk of two correlated particles: Separating bound-pair and unbound wavepacket components
arXiv:1702.06933 · doi:10.1016/j.physleta.2017.08.016
Abstract
We study the unidirectional transport of two-particle quantum wavepackets in a regular one-dimensional lattice. We show that the bound-pair state component behaves differently from unbound states when subjected to an external pulsed electric field. Thus, strongly entangled particles exhibit a quite distinct dynamics when compared to a single particle system. With respect to centroid motion, our numerical results are corroborated with an analytical expression obtained using a semi-classical approach. The wavefunction profile reveals that the particle-particle interaction induces the splitting of the initial wavepacket into two branches that propagate with specific directions and drift velocities. With a proper external field tunning, the wavepacket components can perform an unidirectional transport on the same or opposite directions. The amplitude of each mode is related to the degree of entanglement betweem particles, which presents a non-monotonic dependence on the interaction strength.
6 pages, 4 figures
References in corpus (13)
- Environment-Assisted Quantum Walks in Photosynthetic Energy Transfer
- Measuring entanglement entropy through the interference of quantum many-body twins
- Quantum walks of correlated particles
- Quantum Walk in Position Space with Single Optically Trapped Atoms
- Realization of quantum walks with negligible decoherence in waveguide lattices
- Universal computation by multi-particle quantum walk
- Strongly Correlated Quantum Walks in Optical Lattices
- Fractional Bloch oscillations in photonic lattices
- Spatial search by quantum walk is optimal for almost all graphs
- Quantum Walks on a Random Environment
- Coherent Delocalization of Atomic Wave Packets in Driven Lattice Potentials
- Biphoton generation in quadratic waveguide arrays: A classical optical simulation
- Quantum entanglement and drifting generated by an AC field resonant with frequency-doubled Bloch oscillations of correlated particles