QuantAlpsAn ecosystem for quantum science & technologies :
From the philosopher to the industrial

Abstract: Since the beginnings of high temperature superconductivity in the cuprates, a key theoretical question has been whether the single band Hubbard model and its cousin, the t-J model, describe the superconductivity at least qualitatively. While initially this seemed like a simple question, the physics of both the cuprates and the models is now known to be much more complicated. A key complication is the presence of spontaneously formed striped arrangements of holes, which have been argued (by different people!) to either enhance or to suppress superconductivity. The models are very challenging to simulate, but even harder to treat analytically. In this talk I will present new simulation results from both DMRG and quantum Monte Carlo which are closing in on the ground state phase diagrams of these iconic models.