Entanglement due to noncommutativity in phase space

Author(s)

Bastos, Catarina ^[1] ; Bernardini, Alex E. ^[2] ; Bertolami, Orfeu ^{[2, 1]} ; Dias, Nuno Costa ^{[3, 4]} ; Prata, Joao Nuno ^{[4, 3]}

Affiliation

^[1] Inst Super Tecn, Inst Plasmas & Fusao Nucl, P-1049001 Lisbon - Portugal

^[2] Univ Porto, Fac Ciencias, Dept Fis & Astron, P-4169007 Oporto - Portugal

^[3] UL, Grp Fis Matemat, P-1649003 Lisbon - Portugal

^[4] Univ Lusofona Humanidades & Tecnol, Dept Matemat, P-1749024 Lisbon - Portugal

• Document type: Journal article
• Source: Physical Review D; v. 88, n. 8 OCT 10 2013.
• Web of Science Citations: 17

Abstract

The entanglement criterion for continuous variable systems and the conditions under which the uncertainty relations are fulfilled are generalized to the case of a noncommutative phase space. The quantum nature and the separability of noncommutative two-mode Gaussian states are examined. It is shown that the entanglement of Gaussian states may be exclusively induced by switching on the noncommutative deformation. (AU)

• FAPESP's process: 12/03561-0 - Hamilton (Jacobi) formulation of the dark sector of the universe and contextualized studies on quantum cosmology and non-commutativity
• Grantee: Alex Eduardo de Bernardini
• Support type: Scholarships abroad - Research