Brandeis University, United States

Abstract: 

Despite the widespread importance of the entanglement entropy in many-body systems, analytical examples are rare. We present our studies on the late-time entanglement entropy and its transition in solvable models. In the first part, we present the result of the late-time von Neumann entropy in the Brownian SYK model without measurement. We show that the correlations between different replicas account for the Page curve at late time, and a permutation group structure emerges in the calculation. In the second part, we present the result of the entanglement transition in the Brownian SYK model in the presence of monitoring. We show that the replica symmetry breaking gives a unified description of measurement induced phase transitions in interacting circuits and free fermion models.

Brief CV of Dr. Shao-Kai Jian:

Shao-Kai Jian is currently a It From Qubit Fellow at Brandeis University. He received his Ph.D. degree at Institute for Advanced Study, Tsinghua University in 2019 under the supervision of Prof. Hong Yao. Shao-Kai Jian is broadly interested in understanding general organizing principles of quantum dynamics and quantum information, including non-unitary effects resulting from measurements. He also works on condensed matter theory, including quantum criticality and emergent phenomena in many-body quantum systems.

Host: Prof. Yi Zhou, CAS Key Lab of Condensed Matter Theory & Materials Computation

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