Area Laws in Many-Body Systems – Niels Bohr Institute - University of Copenhagen

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Area Laws in Many-Body Systems

Michael M. Wolf, Max-Planck-Institute for Quantum Optics

The holographic principle states that on a fundamental level the information content of a region should depend on its surface area rather than on its volume. This counterintuitive idea which has its roots in the nonextensive nature of black-hole entropy serves as a guiding principle in the search for the fundamental laws of Planck-scale physics. Recent findings show that a similar phenomenon emerges in lattice models of classical and quantum
physics: information (and entanglement) contained in part of a system in thermal equilibrium obey an area law. While the maximal information per unit area depends classically only on the number of microscopic degrees of freedom, it may diverge as the inverse temperature in quantum systems. The talk provides an overview of known results and their implications with particular emphasis on novel tensor network techniques for the description of quantum many-body systems.