Entanglement dynamics from universal low-lying modes
APA
(2024). Entanglement dynamics from universal low-lying modes. SciVideos. https://youtube.com/live/-h1D5pWgHlo
MLA
Entanglement dynamics from universal low-lying modes. SciVideos, Aug. 26, 2024, https://youtube.com/live/-h1D5pWgHlo
BibTex
@misc{ scivideos_ICTS:29434, doi = {}, url = {https://youtube.com/live/-h1D5pWgHlo}, author = {}, keywords = {}, language = {en}, title = {Entanglement dynamics from universal low-lying modes}, publisher = {}, year = {2024}, month = {aug}, note = {ICTS:29434 see, \url{https://scivideos.org/icts-tifr/29434}} }
Abstract
Information-theoretic quantities such as Renyi entropies show a remarkable universality in their late-time behaviour across a variety of chaotic quantum many-body systems. Understanding how such common features emerge from very different microscopic dynamics remains an important challenge. In this talk, I will address this question in a class of Brownian models with random time-dependent Hamiltonians and a variety of different microscopic couplings. In any such model, the Lorentzian time-evolution of the n-th Renyi entropy can be mapped to evolution by a Euclidean Hamiltonian on 2n copies of the system. I will provide evidence that in systems with no symmetries, the low-energy excitations of the Euclidean Hamiltonian are universally given by a gapped quasiparticle-like band. These excitations give rise to the membrane picture of entanglement growth, with the membrane tension determined by their dispersion relation. I will establish this structure in a variety of cases using analytical ...