Universal scaling of Klein bottle entropy near conformal critical points

Abstract

We show that the Klein bottle entropy [Phys. Rev. Lett. 119, 261603 (2017)] for conformal field theories (CFTs) perturbed by a relevant operator is a universal function of the dimensionless coupling constant. The universal scaling of the Klein bottle entropy near criticality provides an efficient approach to extract the scaling dimension of lattice operators via data collapse. As paradigmatic examples, we validate the universal scaling of the Klein bottle entropy for Ising and Z3 parafermion CFTs with various perturbations using numerical simulation with continuous matrix product operator approach.

arXiv comment5+5 pages, 3 figures, published version

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• Crosscap states and duality of Ising field theory in two dimensions
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• Spatially Structured Entanglement from Nonequilibrium Thermal Pure States
• Exact Quench Dynamics from Thermal Pure Quantum States