epl draft Phase transitions, entanglement and quantum noise interfer- ometry in cold atoms

1 Physikalisches Institut, Albert-Ludwigs Universität Freiburg, Hermann-Herder-Str. 3, Freiburg, Germany 2 Department of Physics, Harvard University, 17 Oxford Street, Cambridge Massachusetts, USA 3 Institute for Theoretical Atomic, Molecular and Optical Physics, Harvard University, Cambridge, Massachusetts 02138, USA 4 JILA and University of Colorado, Department of Physics, University of Colorado, Boulder, CO 80309,USA 5 National Institute of Standards and Technology, Gaithersburg, Maryland 20899, USA 6 Department of Physics, George Mason University, Fairfax, Virginia 22030, USA 7 Joint Quantum Institute, National Institute of Standards and Technology and the University of Maryland, Gaithersburg, Maryland 20899, USA