On the finite size behavior of quantum collective spin systems
arXiv:0907.0838 · doi:10.1103/PhysRevA.81.013818
Abstract
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.
8 pages, 4 figures
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- Quantum Phase Diagrams of Matter-Field Hamiltonians I: Fidelity, Bures Distance, and Entanglement
- Critical steady states of all-to-all squeezed and driven superradiance: An analytic approach
- Goldilocks Probes for Noisy Interferometry via Quantum Annealing to Criticality
- Eigenvalue distributions from a star product approach