xiangyu cao
Junior researcher (chargé de recherche), CNRS/LPENS
Email: my first name dot last name at phys dot ens dot fr
Office: E254, 24 rue Lhomond, Paris
(I am also a regular visitor of LPTMS)
[March 2026] I posted a preprint titled "Can quantum fluctuations be consistently monitored?", about decoherent/consistent histories in many-body quantum systems. I show that fluctuations therein do not have decoherent histories in general, in contrary to mean values. Well, they are called quantum fluctuations for a good reason!
[March 2026] With Zohar Nussinov from Washington University in St Louis, we posted a paper titled "Redundancy from Subsystem Thermalization". We show quantitatively how quantum Darwinism survives thermalizing dynamics of the environment.
[March 2026] The paper on decoherent histories and quantum Darwinism has been published in Physical Review Letters and selected as an Editors' Suggestion!
[August 2025] With Benoît Ferté (PhD student at ENS) and Davide Farci (Master student from Florence) we posted a preprint about decoherent histories and quantum Darwinism. TL;DR: A measurement apparatus is a macroscopic object, but every macroscopic object is not a measurement apparatus!
http://arxiv.org/abs/2508.16482
[July 2025] I posted a short note on the quantum dynamical entropy of Connes, Narnhofer and Thirring (CNT). This work is part of my ongoing effort of "decoding" the mathematical literature on quantum dynamical entropies. Here, I show that a simplified version of the CNT entropy can be defined in the setup of monitored quantum dynamics. Furthermore, I find an exact formula for the entropy rate that applies to the continuous monitoring of a "coarse-grained" observable in many-body systems. Using this formula I conjecture that the entropy rate satisfies a Planckian bound in a thermal state, reminiscent of the Planckian bound on chaos or on viscosity.
Comments welcome!
https://arxiv.org/abs/2507.20914
[October 2024] With Ayush De, Umberto Borla, and Snir Gazit at the Racah Institute of Physics (Hebrew University of Jerusalem), we put forward a new Quantum Monte Carlo algorithm that samples paths of operator growth. The method allowed to check the hypothesis formulated in this work to unprecedented precision. The paper is now published in Physics Review B. Congratulations!
https://arxiv.org/abs/2401.06215 [PRB]
[March 2024] The two companion papers (with Benoît Ferté) on Quantum Darwinism-encoding transitions are published in Physical Review Letters and Physical Review A, respectively.
Seminar videos with new results: [Les Houches] [EPFL (Bernoulli center)]
https://arxiv.org/abs/2305.03694 [PRL]
https://arxiv.org/abs/2312.04284 [PRA]
[August 2023] Our paper on "deep Hilbert space" with Zihao Qi (Caltech) and Thomas Scaffidi (Toronto, UC Irvine) is published in PRB and selected as an Editors' Suggestion!
http://arxiv.org/abs/2304.11138 [PRB.108.054301] [slides]
My other papers can be found on Google Scholar.