On the finite size behavior of quantum collective spin systems

Details On the finite size behavior of quantum collective spin systems On the finite size behavior of quantum collective spin systems

2009-07-05

arxiv.org/abs/0907.0838v1

Physics

Quantum Physics

8 pages, 4 figures

Scientific paper

We discuss the finite size behavior of the adiabatic Dicke model, describing the collective coupling of a set of N-two level atoms (qubits) to a faster (electromagnetic) oscillator mode. The energy eigen-states of this system are shown to be directly related to those of another widely studied collective spin model, the uniaxial one. By employing an approximate continuum approach, we obtain a complete characterization of the properties of the latter, which we then use to evaluate the scaling properties of various observables for the original Dicke model near its quantum phase transition.

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