SP Seminar 13.12.2016 at 11:00 am @SISSA Via Bonomea: L Pollet

[Condensed Matter Section]

JOINT ICTP/SISSA STATISTICAL PHYSICS SEMINAR

Tuesday December 13 - 11:00 a.m.

SISSA, Via Bonomea 265, room 128


Speaker: L. Pollet (LMU Munich)

Title: Accessing many-body localized states with a shifted action approach

Abstract: We show how the thermodynamic properties of large many-body
localized systems can be studied using quantum Monte Carlo
simulations. To this end we devise a heuristic way of constructing
local integrals of motion of very high quality, which are added to the
Hamiltonian in conjunction with Lagrange multipliers. The ground state
simulation of the shifted Hamiltonian corresponds to a high-energy
state of the original Hamiltonian in case of exactly known local
integrals of motion. We can show that the inevitable mixing between
eigenstates as a consequence of non-perfect integrals of motion is
weak enough such that the characteristics of many-body localized
systems are not averaged out in our approach, unlike the standard
ensembles of statistical mechanics. Our method paves the way to study
higher dimensions but crucially depends on the existence of an
extensive set of local integrals of motion.