Proseminar: Entanglement in Many-Body System

Barbara Kraus, Frank Pollmann

First Meeting: 
to be annoucned

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List of presentations:

  • Measures of Entanglement
    [Amico, Fazio, Andreas Osterloh, Vedral, Rev. Mod. Phys. 80, 517 (2008) [Sec. I]

  • An Area Law for One Dimensional Quantum Systems
    [Hastings, arXiv:0705.2024]

  • Matrix product state representations
    [Perez-Garcia, Verstraete, Wolf,  arXiv:quant-ph/0608197]

  • Topological entanglement entropy
    [Alexei Kitaev, John Preskill, Phys.Rev.Lett. 96, 110404 (2006).]

  • Topological order in a 3D toric code at finite temperature
    [Claudio Castelnovo and Claudio Chamon, Phys. Rev. B 78, 155120 (2008)]

  • A computable measure of entanglement
    [Vidal and  Werner, Phys. Rev. A. 65,  032314]

  • Detecting Topological Order at Finite Temperature Using Entanglement Negativity
    [Lu, Hsieh, Grover, arXiv:1912.04293]

  • Calculation of reduced density matrices from correlation functions
    [I. Peschel, Journal of Physics A: Mathematical and General 36, L205 (2003)]

  • Entanglement Spectrum as a Generalization of Entanglement Entropy
    [Hui Li, F. D. M. Haldane, Phys. Rev. Lett. 101, 010504 (2008).]

  • Entanglement Spectrum of a topological phase in one dimension
    [Pollmann, Berg, Turner, Oshikawa, arXiv:0910.1811]

  • Entanglement entropy and conformal field theory
    [P. Calabrese and J. Cardy, J. Phys. A: Mathematical and Theoretical 42, 504005 (2009)]

  • Average Entropy of a Subsystem
    [Don N. Page, Phys.Rev.Lett.71, 1291 (1993)]

  • Eigenstate thermalization
    [Marcos Rigol, Vanja Dunjko, Maxim Olshanii, Nature 452 854 (2009).]

  • Many-body localization
    [Arijeet Pal, David A. Huse, Phys. Rev. B 82, 174411 (2010); Bauer and Nayak, arXiv:1306.5753]

  • Quantum Entanglement Growth under Random Unitary Dynamics
    [Adam Nahum, Jonathan Ruhman, Sagar Vijay, and Jeongwan Haah, Physical Review X, 7(3):031016 (2017)]

  • Quantum Zeno effect and the many-body entanglement transition
    [Yaodong Li, Xiao Chen, and Matthew P. A. Fisher, Phys. Rev. B, 98:205136 (2018)]


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