Entanglement of two harmonic modes coupled by angular momentum

Journal Article · Tue Nov 15 04:00:00 EST 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.84.052320· OSTI ID:22093489

Rebon, L.; Rossignoli, R. ^[1]

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1. Departamento de Fisica-Instituto de Fisica de La Plata, Universidad Nacional de La Plata, C.C. 67, 1900 La Plata (Argentina)

We examine the entanglement induced by an angular momentum coupling between two harmonic systems. The Hamiltonian corresponds to that of a charged particle in a uniform magnetic field in an anisotropic quadratic potential or, equivalently, to that of a particle in a rotating quadratic potential. We analyze both the vacuum and thermal entanglement, thereby obtaining analytic expressions for the entanglement entropy and negativity through the Gaussian state formalism. It is shown that vacuum entanglement diverges at the edges of the dynamically stable sectors, increasing with the angular momentum and saturating for strong fields, whereas at finite temperature entanglement is nonzero just within a finite field or frequency window and no longer diverges. Moreover, the limit temperature for entanglement is finite in the whole stable domain. The thermal behavior of the Gaussian quantum discord and its difference from the negativity is also discussed.

• OSTI ID: 22093489
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 84; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
ANISOTROPY
CHARGED PARTICLES
COUPLING
ENTROPY
HAMILTONIANS
MAGNETIC FIELDS
POTENTIALS
QUANTUM ENTANGLEMENT
QUANTUM MECHANICS
QUANTUM STATES