Direct equivalence between quantum phase transition phenomena in radiation-matter and magnetic systems: scaling of entanglement

Details Direct equivalence between quantum phase transition phenomena in radiation-matter and magnetic systems: scaling of entanglement Direct equivalence between quantum phase transition phenomena in radiation-matter and magnetic systems: scaling of entanglement

2004-06-28

arxiv.org/abs/cond-mat/0406674v2

Europhysics Letters 69, 8 (2005)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 figures. Minor changes. Published version

Scientific paper

10.1209/epl/i2004-10313-4

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.

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