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Entanglement phase transitions in random stabilizer tensor networks

Time 10:00am Sep. 13, 2021 (Beijing/Shanghai time)

Zoom Meeting ID949 559 7503

Password2021

Meeting URL: https://us06web.zoom.us/j/9495597503?pwd=UFVMUUVxb3pDUHRkWEFQY3MzRjJYUT09

Speaker: Zhi-Cheng Yang (University of Maryland)

Abstract:

We explore entanglement phase transitions in a class of random tensor network models with “stabilizer” local tensors which we name Random Stabilizer Tensor Networks (RSTNs). For RSTNs defined on a two-dimensional square lattice, we find that the one-dimensional boundary state undergoes a transition from volume-law to area-law entangled, when either (a) the bond dimension D of the constituent tensors is varied, or (b) the tensor network is subject to random breaking of bulk bonds, implemented by forced measurements. Upon breaking bonds at random in the bulk with probability p, we find that there exists a critical measurement rate p_c for each $D\geq 3$ above which the boundary state becomes area-law entangled. We further demonstrate the conformal invariance at the critical points and extract universal operator scaling dimensions via extensive numerical calculations of the entanglement entropy, mutual information and mutual negativity at their respective critical points. Our results at large D approach known universal data of percolation conformal field theory, while showing clear discrepancies at smaller D, suggesting a distinct entanglement transition universality class for each prime D. We further study universal entanglement properties in the volume-law phase and demonstrate quantitative agreement with the recently proposed description in terms of a directed polymer in a random environment.

About the speaker

Education background:

2013  B.S. in physics, Peking University

2019  Ph.D. in physics, Boston University.   Advisor: Claudio Chamon

2019-now  Postdoctoral Researcher, University of Maryland, College Park

Research interests:

Quantum information dynamics in closed and open quantum systems, non-equilibrium dynamics in many-body systems, quantum computation and simulation on near-term devices, topological phases of matter, and topological band theory.

Date

Sep 20 2021

Time

China Standard Time
10:00 am - 11:00 am

Local Time

  • Timezone: America/New_York
  • Date: Sep 19 2021
  • Time: 10:00 pm - 11:00 pm

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Location

Virtual

Location 2

(Kavli ITS) The Kavli Institute for Theoretical Sciences at the University of Chinese Academy of Sciences

Organizer

(Kavli ITS) Kavli Institute for Theoretical Sciences | University of Chinese Academy of Sciences (UCAS)
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