Finite-temperature effects on interacting bosonic one-dimensional systems in disordered lattices

Lorenzo Gori 1 Thomas Barthel 2, 3 Avinash Kumar 1 Eleonora Lucioni 4, 1 Luca Tanzi 1 Massimo Inguscio 1, 4 Giovanni Modugno 1, 4 Thierry Giamarchi 5 Chiara D'Errico 1, 4 Guillaume Roux 3

Physical Review A, American Physical Society, 2016, 93, pp.033650

We analyze the finite-temperature effects on the phase diagram describing the insulating properties of interacting 1D bosons in a quasi-periodic lattice. We examine thermal effects by comparing experimental results to exact diagonalization for small-sized systems and to density-matrix renormalization group (DMRG) computations. At weak interactions, we find short thermal correlation lengths, indicating a substantial impact of temperature on the system coherence. Conversely, at strong interactions, the obtained thermal correlation lengths are significantly larger than the localization length, and the quantum nature of the T=0 Bose glass phase is preserved up to a crossover temperature that depends on the disorder strength. Furthermore, in the absence of disorder, we show how quasi-exact finite-T DMRG computations, compared to experimental results, can be employed to estimate the temperature, which is not directly accessible in the experiment.

  • 1. European Laboratory for Non-linear Spectroscopy (LENS)
  • 2. Duke university [Durham]
  • 3. LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques
  • 4. CNR-IFAC, Sesto Fiorentino
  • 5. DPMC - Département de Physique de la Matière Condensée