Mean-field dynamics to negative absolute temperatures in the Bose-Hubbard model

Abstract

We apply time-dependent Gutzwiller mean-field theory to provide a qualitative understanding for bosons in optical lattices that approach states corresponding to negative absolute temperatures. We perform the dynamical simulations to relate to the recent experiments by Braun et al. [ S. Braun, J. P. Ronzheimer, M. Schreiber, S. S. Hodgman, T. Rom, I. Bloch and U. Schneider, Science 339 52 (2013)]. Time-of-flight images calculated from the two-dimensional numerical simulations reproduce characteristics of the experimental observations, in particular, the emergence of the four peaks at the corners of the Brillouin zone.

content equivalent to published version, 10 pages, 10 figures

References in corpus (6)

• Many-Body Physics with Ultracold Gases
• Negative Absolute Temperature for Motional Degrees of Freedom
• 39-K Bose-Einstein condensate with tunable interactions
• Equilibration rates and negative absolute temperatures for ultracold atoms in optical lattices
• Atomic Gases at Negative Kinetic Temperature
• Rigorous mean-field dynamics of lattice bosons: Quenches from the Mott insulator