ICTS:29434

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}}
          }
          
Shreya Vardhan
Talk numberICTS: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 ...