Slow quench dynamics of a trapped one-dimensional Bose gas confined to an optical lattice

Jean-Sebastien Bernier ¹, Guillaume Roux ², Corinna Kollath ^1, 3

Physical Review Letters 106 (2011) 200601

We analyze the effect of a linear time-variation of the interaction strength on a trapped one-dimensional Bose gas confined to an optical lattice. The evolution of different observables such as the experimentally accessible onsite particle distribution are studied as a function of the ramp time using time-dependent exact diagonalization and density-matrix renormalization group techniques. We find that the dynamics of a trapped system typically display two regimes: for long ramp times, the dynamics are governed by density redistribution, while at short ramp times, local dynamics dominate as the evolution is identical to that of an homogeneous system. In the homogeneous limit, we also discuss the non-trivial scaling of the energy absorbed with the ramp time.

• 1. Centre de Physique Théorique (CPHT),
  CNRS : UMR7644 – Polytechnique – X
• 2. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
  CNRS : UMR8626 – Université Paris XI – Paris Sud
• 3. Département de Physique Théorique,
  University of Geneva