Quantum Simulations Show Entanglement Grows with Log of Imaginary Time

Researchers have demonstrated that the corner entanglement entropy grows linearly with the logarithm of imaginary time, revealing a surprising scaling law for quantum systems. Chang-Yu Shen of the Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, and colleagues verified this relationship using Quantum Monte Carlo simulations performed on the interacting Gross-Neveu-Yukawa model. This work circumvents computational bottlenecks by accurately recovering universal data from the early stages of quantum relaxation, establishing a link between non-equilibrium critical phenomena and the determination of entanglement properties. The findings offer a new approach for probing the complex entanglement structure of quantum critical systems. The subtle geometry of quantum entanglement holds the key to understanding complex materials, and recent work has revealed a new relationship between a system’s shape and its entanglement properties. This is not a simple, direct increase in entanglement; the logarithmic scaling suggests a fundamental connection to the underlying physics governing the quantum critical point. This…