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Phys. Rev. A 78, 051801(R) (2008) [4 pages]

Numerically exact solution to the finite-size Dicke model

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Qing-Hu Chen1,2, Yu-Yu Zhang2, Tao Liu3, and Ke-Lin Wang3,4
1Center for Statistical and Theoretical Condensed Matter Physics, Zhejiang Normal University, Jinhua 321004, China
2Department of Physics, Zhejiang University, Hangzhou 310027, China
3Department of Physics, Southwest University of Science and Technology, Mianyang 621010, China
4Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China

Received 26 December 2007; published 3 November 2008

By using extended bosonic coherent states, a technique to solve the Dicke model exactly is proposed in the numerical sense. The accessible system size is two orders of magnitude higher than that reported in the literature. Finite-size scaling for several observables, such as the ground-state energy, Berry phase, and concurrence, is analyzed. A scaling exponent for ground-state energy is found. An existing discrepancy in the scaling exponent of the concurrence is reconciled.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.78.051801
DOI:
10.1103/PhysRevA.78.051801
PACS:
42.50.Nn, 64.70.Tg, 03.65.Ud