Limits on entanglement from rotationally invariant scattering of spin systems

Journal Article · Thu Jun 15 00:00:00 EDT 2006 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.73.0· OSTI ID:20787472

Harshman, N L ^[1]

---

1. Department of Computer Science, Audio Technology and Physics, 4400 Massachusetts Ave., NW, American University, Washington, DC 20016-8058 (United States)

This paper investigates the dynamical generation of entanglement in scattering systems, in particular two spin systems that interact via rotationally invariant scattering. The spin degrees of freedom of the in states are assumed to be in unentangled, pure states, as defined by the entropy of entanglement. Because of the restriction of rotationally symmetric interactions, perfectly entangling S matrices, i.e., those that lead to a maximally entangled out state, only exist for a certain class of separable in states. Using Clebsch-Gordan coefficients for the rotation group, the scattering phases that determine the S matrix are determined for the case of spin systems with {sigma}=1/2, 1, and 3/2.

• OSTI ID: 20787472
• Journal Information: Physical Review. A, Vol. 73, Issue 6; Other Information: DOI: 10.1103/PhysRevA.73.062326; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CLEBSCH-GORDAN COEFFICIENTS
DEGREES OF FREEDOM
ENERGY LEVELS
ENTROPY
QUANTUM ENTANGLEMENT
QUANTUM MECHANICS
ROTATION
S MATRIX
SCATTERING
SPIN