Volume 69, Number 1, January 2005
|Page(s)||8 - 14|
|Published online||08 December 2004|
Direct equivalence between quantum phase transition phenomena in radiation-matter and magnetic systems: Scaling of entanglement
Departamento de Física, Universidad de Los Andes A.A. 4976, Bogotá D.C., Colombia
2 Centre for Quantum Computation and Department of Physics, University of Oxford Clarendon Laboratory - Parks Road, OX1 3PU, UK
Corresponding authors: firstname.lastname@example.org email@example.com firstname.lastname@example.org
Accepted: 2 November 2004
We show that the quantum phase transition arising in a standard radiation-matter model (Dicke model) belongs to the same universality class as the infinitely coordinated, transverse-field XY model. The effective qubit-qubit exchange interaction is shown to be proportional to the square of the qubit-radiation coupling. A universal finite-size scaling is derived for the corresponding two-qubit entanglement (concurrence) and a size-consistent effective Hamiltonian is proposed for the qubit subsystem.
PACS: 03.65.Ud – Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.) / 73.43.Nq – Quantum phase transitions / 75.10.-b – General theory and models of magnetic ordering
© EDP Sciences, 2005
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