Download PDF Abstract: We show that the fundamental time reversal invariant (TRI) insulator exists in 4+1 dimensions, where the effective field theory is described by the 4+1 dimensional Chern-Simons theory and the topological properties of the electronic structure is classified by the second Chern number. To read the article of this research, you can request a copy directly from the authors. Theoretical Physics. Meanwhile, quantum information about the system becomes inaccessible to local observers. 93 citations. P. Hayden and J. Preskill, “Black holes as mirrors: quantum information in random subsystems,”, Y. Sekino and L Susskind, “Fast scramblers,”, S. H. Shenker and D. Stanford, “Black holes and the butterfly effect,”, S. Xu and B. Swingle, “Locality, quantum fluctuations, and scrambling,”, D. A. Roberts, D. Stanford, and A. Streicher, “Operator growth in the SYK model,”, A. Nahum, S. Vijay, and J. Haah, “Operator spreading in random unitary circuits,”, H. Liu and S. J. 28.29; Johns Hopkins University ; Show all 8 authors Hide. Starting with infinitely large N—to simplify the analysis—they determine that the wave front moves as a solitary wave without changing shape. Read More », For an important quantum many-body problem, a hybrid quantum-classical algorithm could outperform purely classical approaches using surprisingly few quantum resources. They'll give your presentations a professional, memorable appearance - the kind of sophisticated look that today's audiences expect. This first quantum revolution enabled the amazing technological developments of the … Even determining how much the size of an operator changes after a short time can be difficult, because information from the past can have a complex effect on the future. Dept.) Winner of the Standing Ovation Award for “Best PowerPoint Templates” from Presentations Magazine. ), Shou-Cheng Zhang (Stanford U., Phys. © Stanford University, Stanford, California 94305. #14. Request full-text PDF. In classical physics, a familiar example of chaos is the three-body problem: When two planets orbit a star, the motion of the system is extremely sensitive to the bodies’ initial positions and momenta. Email ... Publications on INSPIRE. There is considerable cross-fertilization in some of these endeavors with faculty in the SLAC Theory Group and the Kavli Institute for Particle In their mathematical derivation, this memory erasure simplifies the dynamics of the system, such that the spreading of chaos can then be characterized by a single differential equation. In BCC models, the Hamiltonian governing the system’s dynamics is not constant but is drawn randomly from an ensemble of suitable Hamiltonians at each time instant [8]. His research interests include string theory, quantum field theory, quantum … Associate Professor of Physics and of Particle Physics and Astrophysics Stephen Shenker. 2). The future positions and momenta are deterministically related to the initial conditions, but this connection grows more mathematically complex with time. Xiao-Liang Qi, Daniel Ranard We ask whether the knowledge of a single eigenstate of a local Hamiltonian is sufficient to uniquely determine the Hamiltonian. Xu and Swingle focus on a family of Hamiltonians that describe spins with random, local coupling between them. One of them is related to an important line of fundamental research. Citations per year. 6 (2010) 284; e-Print: 0908.1537 [cond-mat.other] DOI: 10.1038/nphys1534; View in: ADS Abstract Service; pdf cite. Xiaoliang Qi Professor Email: xlqi@stanford.edu. Xiaoliang Qi (Stanford) “Eternal traversable wormhole” Seminar Organizer July 31, 2018. By helping us model quantum chaos, the new operator scrambling approach may contribute to unlocking the mystery of quantum gravity. Welcome to the new INSPIRE! World's Best PowerPoint Templates - CrystalGraphics offers more PowerPoint templates than anyone else in the world, with over 4 million to choose from. Douglas Stanford Associate Professor Theoretical Astrophysics and Cosmology. Topological insulators materialize a topological quantum state of matter where unusual gapless metallic state protected by time-reversal symmetry appears at the edge or surface. Using this family, they analyze systems of quantum particles with N degrees of freedom and compare the results for large N ( N≫1) and small N ( N=2 corresponds to a conventional qubit). Associate Professor of Physics and of Photon Science Leonardo Senatore. In physics, the term has a more specific meaning: It refers to systems that, while subject to deterministic laws, are totally unpredictable because of an exponential sensitivity to initial conditions—think of the butterfly flapping its wings and causing a distant tornado. Dept.) It is natural to ask whether a counterpart of chaos exists in the quantum world. Theorists showed, for instance, that an object falling into a black hole causes a perturbation to the event horizon that’s similar to the propagation of a chaotic wave front [3, 10]. Attendee List Download Talk Schedule Videos. There are many reasons why a more quantitative and systematic understanding of quantum chaos will be important. D. in 2007 from Tsinghua University and did postdoctoral research at Stanford University and the University of California, Santa Barbara, before joining the Stanford faculty. It is important to note, however, that there is a fundamental difference between Brownian models and Hamiltonian models without randomness: in the latter, the energy of the system is not conserved. Similar behavior is expected in the dynamics of quantum operators (Fig. Suh, “Entanglement tsunami: Universal scaling in holographic thermalization,”. Eva Silverstein Professor Email: evas@stanford.edu. 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