Archive ouverte HAL – Enhancement of many-body quantum interference in chaotic bosonic systems

Peter Schlagheck 1 Denis Ullmo 2 Juan Diego Urbina 3 Klaus RichterSteven Tomsovic 4

Peter Schlagheck, Denis Ullmo, Juan Diego Urbina, Klaus Richter, Steven Tomsovic. Enhancement of many-body quantum interference in chaotic bosonic systems. Physical Review Letters, American Physical Society, 2019, 123, pp.215302. ⟨10.1103/PhysRevLett.123.215302⟩. ⟨hal-02361335⟩

Although highly successful, the truncated Wigner approximation (TWA) leaves out many-body quantum interference between mean-field Gross-Pitaevskii solutions as well as other quantum effects, and is therefore essentially classical. Turned around, this implies that if a system's quantum properties deviate from TWA, they must be exhibiting some quantum phenomenon, such as localization, diffraction, or tunneling. Here, we consider in detail a particular interference effect arising from discrete symmetries, which can lead to a significant enhancement of quantum observables with respect to the TWA prediction, and derive an augmented version of the TWA in order to incorporate them. Using the Bose-Hubbard model for illustration, we further show strong evidence for the presence of dynamical localization due to remaining differences between the TWA predictions and quantum results.

  • 1. Institut für Theoretische Physik
  • 2. LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques
  • 3. UR - Universität Regensburg
  • 4. Department of Physics