Entanglement generation via scattering of two particles with hard-core repulsion

Abstract

We analyse the entanglement generation in a one dimensional scattering process. The two colliding particles have a Gaussian wave function and interact by hard--core repulsion.In our analysis results on the entanglement of two mode Gaussian states are used. The produced entanglement depends in a non-obvious way on the parameters ratio of masses and initial widths. The asymptotic wavefunction of the two particles and its associated ellipse yield additional geometric insight into these conditions. The difference to the quantitative analysis of the amount of entanglement generated by beam splitters with squeezed light is discussed.

2 figures

References in corpus (4)

• Quantum information with continuous variables
• Symplectic invariants, entropic measures and correlations of Gaussian states
• Gaussian states in continuous variable quantum information
• Mode-Wise Entanglement of Gaussian States

Cited by in corpus (13)

• Galilean and Dynamical Invariance of Entanglement in Particle Scattering
• Entropy, fidelity, and double orthogonality for resonance states in two-electron quantum dots
• Entanglement Mechanisms in One-Dimensional Potential Scattering
• Entanglement Generation in the Scattering of One-Dimensional Particles
• Time dependence of quantum entanglement in the collision of two particles
• Information Geometry of Quantum Entangled Gaussian Wave-Packets
• Entanglement Creation in Low-Energy Scattering
• Non-Entangling Channels for Multiple Collisions of Quantum Wave Packets
• Collisional Quantum Brownian Motion
• Minimally-disturbing Heisenberg-Weyl symmetric measurements using hard-core collisions of Schrödinger particles
• Universality of Entanglement Creation in Low-Energy Two-Dimensional Scattering
• Collisional decoherence of a tracer particle moving in one dimension
• Quantum Effects In Low Temperature Bosonic Systems