2020/09/30 by Mathias Mikkelsen, M. Mikkelsen, Thomás Fogarty +3
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Commutator #Connection (principal bundle) #Harmonic oscillator #Observable #Quantum many-body systems #Scrambling #Variance (accounting) #Work (physics) #cond-mat.quant-gas #quant-ph #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physrevlett.128.070605
published as Physical Review Letters 128, 070605 (2022) · 6 pages, 2 figures (Supplemental Material: 7 pages, 2 figures). Minor revisions, corresponding to the published version, including an updated abstract
openalex created_date 2020/10/08 · openalex publication_date 2022/02/18 · arxiv created 2022/02/21 · arxiv updated 2022/02/22 · openalex updated_date 2026/08/06
We investigate the relationship between information scrambling and work statistics after a quench for the paradigmatic example of short-range interacting particles in a one-dimensional harmonic trap, considering up to five particles numerically. In particular, we find that scrambling requires finite interactions, in the presence of which the long-time average of the squared commutator for the individual canonical operators is directly proportional to the variance of the work probability distribution. In addition to the numerical results, we outline the mathematical structure of the N-body system which leads to this outcome. We thereby establish a connection between the scrambling properties and the induced work fluctuations, with the latter being an experimental observable that is directly accessible in modern cold-atom experiments.