Dynamics at a Quantum Critical Point: Combining Quantum Monte Carlo and Holography
Erik Sorensen, LPT Toulouse
The real time dynamics near quantum critical points have proven very
challenging to obtain both from a numerical and analytical perspective. Here we
focus on the superfluid-insulator transition occurring for bosons on a lattice.
New large-scale QMC results have made it possible to obtain very precise
results for many quantities in particular the frequency dependent conductivity
at imaginary frequencies. Since the numerical results remain confined to
imaginary times/frequencies additional tools are needed to extend the results
to the rest of the complex plane. Here, recent insights from conformal field
theory and holography have yielded a wealth of information that combined with
the QMC results yield quantitative and experimentally testable results for the
frequency-dependent conductivity near the quantum critical point.