Quantum order of lattice spins in fractional dimension: anyonic states, spin liquid and self-similar tensor network

by Dr Wei Wang (Max Planck Institute for the Physics of Complex Systems)

Monday 23 Dec 2019, 13:30 → 14:30 Asia/Shanghai

TDLI Meeting Room 200

Abstract

I would discuss a rapidly growing area of strongly correlated quantum matter: entangled lattice spins in fractional dimension. While in 1D, 2D and 3D, non-triviality of entangled spins, e.g., topological order, has been well formulated in terms of the patterns of multipartite entanglement, in fractional dimension, we’re at the beginning of seeking non-trivial quantum states and know little about how they are formulated from entanglement. In this talk, I will confirm the existence of anyonic states in fractional dimension. And I will also introduce a framework based on the infinite-tensor-network ansatz to characterize quantum order of lattice spins in fractal. Then, I will conclude with toy models to show that quantum order on fractal is basically how self-similarity of the fractal lattice is embedded in single tensors.

Biography

Nov. 2017 — now. Postdoc in the Max Planck Institute for the Physics of Complex Systems, Dresden, Germany. Working with Dr. Anne E. B. Nielsen

Ph.D. in 2017 from University of Oklahoma, Norman, U.S. Advisor: Dr. Barbara Capogrosso Sansone

Research interest: Topological quantum matter and entanglement in integral and fractional dimension.

Division

Condensed Matter