Monte Carlo Studies of entanglement and mutual information in interacting quantum many-body systems

• Applicant: Professor Stefan Wessel, Ph.D.
• Subject Area: Theoretical Condensed Matter Physics
• Term: from 2013 to 2017
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 225020562

The goal of this proposal is to provide a systematic exploration of the entanglement properties and mutual information at finite temperature in interacting quantum many-body systems in two and three dimensions based on recently developed, unbiased large scale quantum Monte Carlo simulation schemes. Universal sub-leading corrections to the area law in the entanglement entropy will be analyzed for magnetic models with conventional and topologically ordered phases as well as near and at quantum phase transitions. The universality of such correction terms and their relation to spontaneous symmetry breaking, edge and corner contributions will be assessed. The quantum Monte Carlo simulation algorithms required for these investigations will be augmented by extended ensemble methods.

• DFG Programme: Research Grants