| Issue |
Europhys. Lett.
Volume 69, Number 1, January 2005
|
|
|---|---|---|
| Page(s) | 8 - 14 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2004-10313-4 | |
| Published online | 08 December 2004 | |
Direct equivalence between quantum phase transition phenomena in radiation-matter and magnetic systems: Scaling of entanglement
1
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: j-reslen@uniandes.edu.co lquiroga@uniandes.edu.co n.johnson@physics.ox.ac.uk
Received:
2
September
2004
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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