Steady-state and dynamic aspects of photon localization in quasi-one-dimensional disordered systems

K. E. Wilson, E. Carlo Samson, Z. L. Newman +2 more

Bose-Einstein condensates of dilute gases are well-suited for investigations of vortex dynamics and turbulence in quantum fluids, yet there has been little experimental research into the approaches that may be most promising for generating states of two-dimensional turbulence in these systems. Here we give an overview of techniques for generating the large and disordered vortex distributions associated with two-dimensional quantum turbulence. We focus on describing methods explored in our Bose-Einstein condensation laboratory, and discuss the suitability of these methods for studying various aspects of two-dimensional quantum turbulence. We also summarize some of the open questions regarding our own understanding of these mechanisms of two-dimensional quantum turbulence generation in condensates. We find that while these disordered distributions of vortices can be generated by a variety of techniques, further investigation is needed to identify methods for obtaining quasi-steady-state quantum turbulence in condensates.

Kiyoshi Kobayashi

Louis Bellando, Aharon Gero, Éric Akkermans +1 more

A. MacKinnon

We consider the problem of Anderson localization in disordered systems with interactions. We present a numerical approach in quasi-one-dimensional (quasi-1D) systems which combines aspects of the transfer matrix and Green's function recursion methods with the density matrix renormalization group. The method is applied to spinless fermions in 1D and a generalization to finite cross-sections is outlined.

TicozziFrancesco, ViolaLorenza

We characterize time-independent Markovian dynamics that drive a finite-dimensional multipartite quantum system into a target (pure) entangled steady state, subject to physical locality constraints...

Lucy-Marie Mantese, K.A. Bell, D. E. Aspnes +1 more