Proseminar: Entanglement in Many-Body System (Master)
Barbara Kraus, Frank Pollmann
First Meeting:
to be annoucned
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List of presentations:
- Measures of Entanglement
[Ryszard Horodecki, Pawel Horodecki, Michal Horodecki, Karol Horodecki, https://arxiv.org/abs/quant-ph/0702225 (Focus on Chapter 6+7) - 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)] - Entanglement Transitions in Unitary Circuit Games
[Morral-Yepes et al, PRX Quantum 5, 010309 (2024)]