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PhD Thesis: Exotic Quantum Phenomena in Cold Atomic Gases

·1 min
Quantum Physics Monte Carlo Supersolid Cold Atoms
Table of Contents

Overview #

Exotic Quantum Phenomena in Cold Atomic Gases: Numerical Approaches Universite de Strasbourg, ISIS (UMR 7006), 2019. Advisor: Prof. Guido Pupillo.

This thesis investigates the low-energy and low-temperature properties of strongly correlated bosonic systems with finite- and long-range interactions, relevant to experiments with cold atomic gases.

Main Results #

  • Stripe supersolid phases: Demonstrated the existence of stripe supersolid phases in hard-boson models on square lattices with extended-range interactions, using large-scale Path Integral Monte Carlo simulations.
  • Isotropic-anisotropic supersolid transitions: Discovered rare transitions between isotropic and anisotropic supersolid phases, revealing a rich phase diagram driven by the interplay of interaction range and lattice geometry.
  • Temperature quenches and many-body localization: Studied the effects of rapid temperature quenches on quantum many-body systems, exploring connections to many-body localization phenomena.

Methods #

  • Path Integral Monte Carlo (PIMC) with worm algorithm updates
  • Density Matrix Renormalization Group (DMRG)