Skip to main content
eScholarship
Open Access Publications from the University of California

Probing the conformal Calabrese-Cardy scaling with cold atoms

  • Author(s): Unmuth-Yockey, J
  • Zhang, J
  • Preiss, PM
  • Yang, LP
  • Tsai, SW
  • Meurice, Y
  • et al.

Published Web Location

https://arxiv.org/pdf/1611.05016.pdf
No data is associated with this publication.
Abstract

© 2017 American Physical Society. We demonstrate that current experiments using cold bosonic atoms trapped in one-dimensional optical lattices and designed to measure the second-order Rényi entanglement entropy S2 can be used to verify detailed predictions of conformal field theory (CFT) and estimate the central charge c. We discuss the adiabatic preparation of the ground state at half filling and small hopping parameter J/U, where we expect a CFT with c=1. We provide two complementary methods to estimate and subtract the classical entropy generated by the experimental preparation and imaging processes. We compare numerical calculations for the classical O(2) model with a chemical potential on a (1+1)-dimensional lattice, and the quantum Bose-Hubbard Hamiltonian implemented in the experiments. S2 is very similar for the two models and follows closely the Calabrese-Cardy scaling, (c/8)ln(Ns), for Ns sites with open boundary conditions, provided that the large subleading corrections are taken into account.

Many UC-authored scholarly publications are freely available on this site because of the UC's open access policies. Let us know how this access is important for you.

Item not freely available? Link broken?
Report a problem accessing this item