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Sachdev-Ye-Kitaev model and thermalization on the boundary of many-body localized fermionic symmetry-protected topological states
- Yi-Zhuang You, A. Ludwig, Cenke Xu
- Physics
- 22 February 2016
The Sachdev-Ye-Kitaev (SYK) model is a quantum mechanical model for randomly interaction fermions in a quantum dot. This paper studies the properties of the many-body spectrum of the SYK model and…
Self-dual Quantum Electrodynamics as Boundary State of the three dimensional Bosonic Topological Insulator
- Cenke Xu, Yi-Zhuang You
- Physics
- 20 October 2015
Inspired by the recent developments of constructing novel Dirac liquid boundary states of the $3d$ topological insulator, we propose one possible $2d$ boundary state of the $3d$ bosonic symmetry…
Measurement-induced criticality in random quantum circuits
- Chao-Ming Jian, Yi-Zhuang You, R. Vasseur, A. Ludwig
- PhysicsPhysical Review B
- 22 August 2019
We investigate the critical behavior of the entanglement transition induced by projective measurements in (Haar) random unitary quantum circuits. Using a replica approach, we map the calculation of…
Self-organized error correction in random unitary circuits with measurement
- Ruihua Fan, S. Vijay, A. Vishwanath, Yi-Zhuang You
- Physics
- 27 February 2020
Random measurements have been shown to induce a phase transition in an extended quantum system evolving under chaotic unitary dynamics, when the strength of measurements exceeds a threshold value.…
Superconductivity from valley fluctuations and approximate SO(4) symmetry in a weak coupling theory of twisted bilayer graphene
- Yi-Zhuang You, A. Vishwanath
- Physicsnpj Quantum Materials
- 17 May 2018
AbstarctThe recent discovery of the Mott insulating and superconducting phases in twisted bilayer graphene has generated tremendous research interest. Here, we develop a weak coupling approach to the…
Machine Learning Spatial Geometry from Entanglement Features
- Yi-Zhuang You, Zhao Yang, X. Qi
- Physics
- 4 September 2017
TLDR
Entanglement transitions from holographic random tensor networks
- R. Vasseur, A. Potter, Yi-Zhuang You, A. Ludwig
- PhysicsPhysical Review B
- 18 July 2018
Universal features in patterns of entanglement of quantum states provide valuable information-theoretical insights into complex quantum many-body phases and dynamics. This work uncovers a novel class…
Stable Gapless Bose Liquid Phases without any Symmetry
- Alex Rasmussen, Yi-Zhuang You, Cenke Xu
- Physics
- 29 January 2016
It is well-known that a stable algebraic spin liquid state (or equivalently an algebraic Bose liquid (ABL) state) with emergent gapless photon excitations can exist in quantum spin ice systems, or in…
Signatures of a Deconfined Phase Transition on the Shastry-Sutherland Lattice: Applications to Quantum Critical
SrCu2(BO3)2
- Jong Yeon Lee, Yi-Zhuang You, S. Sachdev, A. Vishwanath
- PhysicsPhysical Review X
- 15 April 2019
We study a possible deconfined quantum phase transition in a realistic model of a two-dimensional Shastry-Sutherland quantum magnet, using both numerical and field theoretic techniques. Using the…
Instability of the non-Fermi liquid state of the Sachdev-Ye-Kitaev Model
- Zhen Bi, Chao-Ming Jian, Yi-Zhuang You, Kelly Ann Pawlak, Cenke Xu
- Physics
- 24 January 2017
We study a series of perturbations on the Sachdev-Ye-Kitaev (SYK) model. We show that the chaotic non-Fermi liquid phase described by the ordinary $q = 4$ SYK model has marginally relevant/irrelevant…
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