Understanding entangled spins in QED

Abstract

The stability of two entangled spins dressed by electrons is studied by calculating the scattering phase shifts. The interaction between electrons is interpreted by fully relativistic QED and the screening effect is described phenomenologically in the Debye exponential form $e^{-\alpha r}$. Our results show that if the (Einstein-Podolsky-Rosen-) EPR-type states are kept stable under the interaction of QED, the spatial wave function must be parity-dependent. The spin-singlet state $s=0$ and the polarized state $\frac{1}{\sqrt{2}}(\mid +->-\mid -+>)$ along the z-axis\QTR{bf}{\}give rise to two different kinds of phase shifts\QTR{bf}{.} Interestingly, the interaction between electrons in the spin-singlet pair is found to be attractive. Such an attraction could be very useful when we extract the entangled spins from superconductors. A mechanism to filter the entangled spins is also discussed.

6 pages, 3 figures. changes added

References in corpus (21)

• Theoretical Perspectives on Spintronics and Spin-Polarized Transport
• Entanglement of electron spins of non-interacting electron gases
• Galilean and Dynamical Invariance of Entanglement in Particle Scattering
• Solid-state circuit for spin entanglement generation and purification
• Entanglement in Mesoscopic Structures: Role of Projection
• Spectator-model operators in point-form relativistic quantum mechanics
• Generating spin-entangled electron pairs in normal conductors using voltage pulses
• Entanglement of electron spins in superconductors
• Generation of bipartite spin entanglement via spin-independent scattering
• Double quantum dot turnstile as an electron spin entangler
• Controlled Flow of Spin-Entangled Electrons via Adiabatic Quantum Pumping
• Entanglement of an impurity and conduction spins in the Kondo model
• Coulomb scattering cross-section in a 2D electron gas and production of entangled electrons
• Dynamics of momentum entanglement in lowest-order QED
• KN and KbarN Elastic Scattering in the Quark Potential Model
• Dynamical Entanglement in Particle Scattering
• Limits on entanglement in rotationally-invariant scattering of spin systems
• Spin entanglement loss by local correlation transfer to the momentum
• QED Renormalization Given in A Mass-Dependent Subtraction and The Renormalization Group Approach
• Quantum Information Processing and Entanglement in Solid State Devices
• Generation and Evolution of Spin Entanglement in NRQED

Cited by in corpus (6)

• Entanglement and scattering in quantum electrodynamics: S-matrix information from an entangled spectator particle
• Model-independent inference of quantum interaction from statistics
• Developments in entanglement theory and applications to relevant physical systems
• Candidate entanglement invariants for two Dirac spinors
• Low degree Lorentz invariant polynomials as potential entanglement invariants for multiple Dirac spinors
• Scaling Transformation for Nonlocal Interactions