Group seminar at LMU: Recent advances on near-1D correlated systems in 2D and 3D

Adrian Kantian, Uppsala University, Sweden
Group seminar at LMU seminar room (H206)
Monday, 14 October, 4:00pm (MEZ)

For techniques based on matrix product states (MPS), entanglement scaling typically precludes working with large 2D and 3D systems, while for many models of interest the Quantum Monte Carlo (QMC) methods suffers from the sign problem. In this talk I will provide an overview of recent developments that can circumvent or mitigate these problems for the near-1D class of 2D and 3D systems, i.e. systems for which coupling is stronger in one direction that it is the other(s).

These new approaches are applicable to both fermions and bosons, for systems in equilibrium as well as as out-of-equilibrium ones. Based on fusing MPS-techniques in turn with mean-field approaches, low-energy subspace expansions, and auxiliary-field QMC, the resulting hybrid algorithms can address problem-classes and/or -sizes not easily amenable to other many-body numerics. These problems range from deliberately designing 3D high-Tc model materials and ultracold lattice-gas experiments of unconventional superconductivity, to studying dynamically induced superconductivity and spin glasses on anisotropic triangular lattices.