Berlin 2024 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 17: Many-body Systems: Equilibration, Chaos, and Localization (joint session DY/TT)
DY 17.11: Vortrag
Dienstag, 19. März 2024, 12:15–12:30, A 151
The entanglement membrane in exactly solvable lattice models — •Michael A. Rampp, Suhail A. Rather, and Pieter W. Claeys — Max Planck Institute for the Physics of Complex Systems, 01187 Dresden, Germany
Entanglement membrane theory is an effective coarse-grained description of entanglement and operator growth in non-integrable quantum many body systems. The central quantity containing information about the dynamics is the entanglement line tension. However, determining the entanglement line tension for microscopic models is difficult. We compute the entanglement line tension in a recently introduced class of exactly solvable unitary circuits, and show that it has a non-trivial form giving rise to a hierarchy of velocity scales, vE<vB. We find that these circuits saturate certain bounds on entanglement growth that are also saturated in holographic models. Furthermore, we relate the entanglement line tension to temporal entanglement and correlation functions. Our results shed light on entanglement membrane theory in microscopic Floquet lattice models and enable us to perform non-trivial checks on the validity of its predictions by comparison to exact calculations.
Keywords: entanglement growth; quantum chaos; unitary circuits; information scrambling; Floquet dynamics