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

José Reslen·Luis Quiroga·Neil F. Johnson
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Abstract

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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José Reslen, Luis Quiroga, Neil F. Johnson. 2005-01-13. Direct equivalence between quantum phase transition phenomena in radiation-matter and magnetic systems: scaling of entanglement. https://doi.org/10.1209/epl%2Fi2004-10313-4

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