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IAS CENTER FOR QUANTUM TECHNOLOGIES SEMINAR SERIES
Entanglement Phase Transitions in Random Stabilizer Tensor Networks
Dr. YANG Zhicheng, University of Maryland
Date : 4 Nov 2021 (Thursday)
Time : 10:00 am
Venue : Online via Zoom

Abstract

The speaker and his research group explore entanglement phase transitions in a class of random tensor network models with “stabilizer” local tensors which they named as Random Stabilizer Tensor Networks (RSTNs). For RSTNs defined on a two-dimensional square lattice, they 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, they find that there exists a critical measurement rate pc for each D≥ 3 above which the boundary state becomes area-law entangled. They 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. Their 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. They 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 center

For more information, please refer to the center website at https://iascqt.hkust.edu.hk/.

For attendees’ attention

 

  This lecture will be conducted online via Zoom.
https://hkust.zoom.us/j/92244509260
(Meeting ID: 922 4450 9260 / Passcode: 713871)

 

 

HKUST Jockey Club Institute for Advanced Study
Enquiries: ias@ust.hk / 2358 5912
http://ias.ust.hk

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