Entanglement of two harmonic modes coupled by angular momentum

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...

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Detalhes bibliográficos
Autores: Rebón, Lorena, Rossignoli, Raúl Dante
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2011
País:Argentina
Recursos:Universidad Nacional de La Plata
Repositorio:SEDICI (UNLP)
Idioma:inglés
OAI Identifier:oai:sedici.unlp.edu.ar:10915/126316
Acesso em linha:http://sedici.unlp.edu.ar/handle/10915/126316
Access Level:acceso abierto
Palavra-chave:Física
Quantum entanglement
Physics
Quantum discord
Angular momentum
Quantum state
Amplitude damping channel
Angular momentum coupling
Quantum electrodynamics
Squashed entanglement
Total angular momentum quantum number
Quantum mechanics
Descrição
Resumo: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.