2011/01/19 by G. Konya, G. Kónya, G. Szirmai +1 · 25 citations
Computer Science · Physics and Astronomy · #Atom (system on chip) #Cold Atom Physics and Bose-Einstein Condensates #Excitation #Field (mathematics) #Hamiltonian (control theory) #Multi-mode optical fiber #Quantum #Quantum Information and Cryptography #Quantum entanglement #Quantum phase transition #Strong Light-Matter Interactions #Subspace topology #cond-mat.quant-gas #quant-ph
paper · pdf · doi:10.1140/epjd/e2011-20050-3
published in The European Physical Journal D 65(1-2), 33-42 (Springer Science+Business Media) · 10 pages
arxiv created 2011/01/19 · openalex publication_date 2011/04/14 · arxiv updated 2011/11/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We develop a mean-field model describing the Hamiltonian interaction of ultracold atoms and the optical field in a cavity. The Bose-Einstein condensate is properly defined by means of a grand-canonical approach. The model is efficient because only the relevant excitation modes are taken into account. However, the model goes beyond the two-mode subspace necessary to describe the self-organization quantum phase transition observed recently. We calculate all the second-order correlations of the coupled atom field and radiation field hybrid bosonic system, including the entanglement between the two types of fields.