Surprises in the deep Hilbert space of all-to-all systems: From superexponential scrambling to slow entanglement growth
Zihao Qi, Thomas Scaffidi, Xiangyu Cao
Abstract
Quantum dynamics of spin systems with uniform infinite-range interaction are often considered ``simple'' because they become semiclassical in the thermodynamic limit. However, the standard semiclassical theory only applies to a shallow surface of the vast many-body Hilbert space. What happens away from this? Here, the authors dive into the ``deep Hilbert space'' and unveil a number of exotic phenomena in this rarely charted territory.
Topics & Concepts
ScramblingQuantum entanglementHilbert spaceSpace (punctuation)Computer scienceTheoretical physicsStatistical physicsPhysicsTheoretical computer scienceQuantum mechanicsAlgorithmQuantumOperating systemQuantum Mechanics and ApplicationsQuantum many-body systemsAdvanced Thermodynamics and Statistical Mechanics