FOO , D. C. W.

Experiments in cold atom systems see almost identical signatures of many body localization (MBL) in both one-dimensional ($d=1$) and two-dimensional ($d=2$) systems despite the thermal avalanche hypothesis showing that the MBL phase is unstable for $d>1$. Underpinning the thermal avalanche argument is the assumption of exponential localization...

We use the stochastic series expansion quantum Monte Carlo method, together with the eigenstate-to-Hamiltonian construction, to map the localized Bose glass ground state of the disordered two-dimensional Heisenberg model to excited states of new target Hamiltonians. The localized nature of the ground state is established by studying the...