Weakly Nonergodic Dynamics in the Gross-Pitaevskii Lattice
Weakly Nonergodic Dynamics in the Gross-Pitaevskii Lattice
The microcanonical Gross--Pitaevskii (aka semiclassical Bose-Hubbard) lattice model dynamics is characterized by a pair of energy and norm densities. The grand canonical Gibbs distribution fails to describe a part of the density space, due to the boundedness of its kinetic energy spectrum. We define Poincare equilibrium manifolds and compute the …