CMD SEMINARSExploring Temporal Complexities in Exactly Solvable Quantum Circuits

Date

Sep 2, 2025

Time

3:00 PM - 4:00 PM

Speaker

He-Ran Wang

Affiliation

Institute for Advanced Study, Tsinghua University, Beijing, China

Language

en

Main Topic

Physik

Other Topics

Physik

Description

Abstract: Characterizing nonequilibrium dynamics in thermalizing and nonthermalizing quantum many-body systems remains a central challenge at the frontier of physics. A recently developed tensor-network approach, the influence matrix, provides an efficient description of a time-evolved quantum system as an effective bath acting on its own subsystems. Through the generalized Choi-Jamiołkowski isomorphism, which maps the influence matrix to a many-body quantum state, one can apply various diagnostics to probe temporal correlations and entanglement encoded in this "many-time" state. In this talk, I will introduce the basic concepts of the influence-matrix method and present two classes of quantum circuits that admit exact matrix-product-state representations of influence matrices, including a class recently studied in [Phys. Rev. Lett. 133, 170402]. I will show how a rich variety of open-system phenomena emerges from these solvable quantum many-body dynamics.

Last modified: Sep 2, 2025, 7:35:45 AM