Phys Rev Lett. 2005 Dec 31;95(26):260401. doi: 10.1103/PhysRevLett.95.260401. Epub 2005 Dec 19.
Physical review letters
Christoph Maschler, Helmut Ritsch
PMID: 16486317 DOI: 10.1103/PhysRevLett.95.260401
We study a generalized cold atom Bose-Hubbard model, where the periodic optical potential is formed by a cavity field with quantum properties. On the one hand, the common coupling of all atoms to the same mode introduces cavity-mediated long-range atom-atom interactions, and, on the other hand, atomic backaction on the field introduces atom-field entanglement. This modifies the properties of the associated quantum phase transitions and allows for new correlated atom-field states, including superposition of different atomic quantum phases. After deriving an approximative Hamiltonian including the new long-range interaction terms, we exhibit central physical phenomena at generic configurations of few atoms in few wells. We find strong modifications of population fluctuations and next-nearest-neighbor correlations near the phase transition point.