Journal
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS
Volume 27, Issue 11, Pages 2443-2450Publisher
OPTICAL SOC AMER
DOI: 10.1364/JOSAB.27.002443
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Funding
- National Tsing-Hua University [98N2309E1]
- National Science Council of Taiwan [98-2112-M-007-001-MY3]
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We study the quantum phase transition of an N two-level system ensemble interacting with an optical degenerate parametric process, which can be described by the finite size Dicke Hamiltonian plus counter-rotating and quadratic field terms. Analytical closed forms of the critical coupling value and their corresponding separable ground states are derived in the weak and strong coupling regimes. The existence of bipartite entanglement between the two-level system ensemble and photon field as well as between ensemble components for moderate coupling is shown through numerical analysis. Given a finite size, our results also indicate the coexistence of squeezed fields and squeezed atomic ensembles. (C) 2010 Optical Society of America
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