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 (13)

• Many-Body Physics with Ultracold Gases
• Cold bosonic atoms in optical lattices
• Negative Absolute Temperature for Motional Degrees of Freedom
• 39-K Bose-Einstein condensate with tunable interactions
• Creation of a molecular condensate by dynamically melting a Mott-insulator
• Equilibration rates and negative absolute temperatures for ultracold atoms in optical lattices
• Mean field dynamics of superfluid-insulator phase transition in a gas of ultra cold atoms
• Emergence of coherence in the Mott--superfluid quench of the Bose-Hubbard model
• Local versus global equilibration near the bosonic Mott-superfluid transition
• Atomic Gases at Negative Kinetic Temperature
• Slow quench dynamics of Mott-insulating regions in a trapped Bose gas
• Expansion of Bose-Hubbard Mott insulators in optical lattices
• Rigorous mean-field dynamics of lattice bosons: Quenches from the Mott insulator

Cited by in corpus (7)

• The Dissipative Bose-Hubbard Model. Methods and Examples
• Statistical Mechanics of Systems with Negative Temperature
• Magnetized Kerr/CFT Correspondence
• Relaxation towards negative temperatures in bosonic systems: Generalized Gibbs ensembles and beyond integrability
• Application of the inhomogeneous Kibble-Zurek mechanism to quench dynamics in the transition from a Mott-insulator to a superfluid in a finite system
• Spectroscopic evidence for engineered hadron formation in repulsive fermionic $\text{SU}(N)$ Hubbard Models
• Absence of quasiclassical coherence in mean-field dynamics of bosons in a kinetically frustrated regime