Physics Colloquium - Dr. Itamar Kimchi

Physics Colloquium - Dr. Itamar Kimchi

Universal Quantum Entanglement in 'Dirty' Quantum Magnets

Date

February 6, 2020 - 11:00am to 12:00pm

Location

Klaus

Room

1116 West Seminar Room

Affiliation

University of Colorado Boulder

Content Images

Studying quantum entanglement over the past decade has allowed us to make remarkable theoretical progress in understanding correlated many-body quantum systems. However in real materials electrons experience spatially random heterogeneities ("dirt") whose theoretical treatment, including strong correlations, has been a challenge. I will describe how synthesizing ideas from quantum information theory, statistical mechanics, and quantum field theory gives us new insights into the role of randomness in 2D correlated quantum spin ("qubit") systems, enabling us to understand a broad variety of experimental observations.

First I will outline our results in two theoretically controlled settings, showing that even weak randomness necessarily nucleates certain topological defects with free spins that control observable physics. Second I will describe how the theory predicts a scaling collapse of the temperature and magnetic-field dependence of the heat capacity that is consistent with experimental observations from multiple materials, suggesting that mild randomness in these materials leads them to exhibit usable long-range entanglement of distant spin pairs. Third I will describe how these results lead us to conjectures of general constraints ("Lieb-Schultz-Mattis theorems") on all possible behaviors of quantum magnets, even with randomness; this surprising connection is enabling our current research on interacting disordered topological insulators ("anomalous localization") and promises further applications to entanglement in quantum technologies and quantum materials.