2018/01/01 by Ben N. Balz, B. N. Balz, J. Richter +7
Computer Science · Physics and Astronomy · #Dynamical system (definition) #Dynamical systems theory #Measure (data warehouse) #Observable #Observational error #Outcome (game theory) #Property (philosophy) #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum many-body systems #Von Neumann architecture #Weak measurement #cond-mat.stat-mech
paper · pdf · doi:10.1007/978-3-319-99046-0_17
published as Chapter 17 in "Thermodynamics in the Quantum Regime", edited by F. Binder, L. A. Correa, C. Gogolin, J. Anders, and G. Adesso. Springer (Cham) 2019
openalex publication_date 2018/01/01 · arxiv created 2019/04/05 · arxiv updated 2019/04/08 · openalex created_date 2019/04/11 · openalex updated_date 2026/08/05
We consider all pure or mixed states of a quantum many-body system which exhibit the same, arbitrary but fixed measurement outcome statistics for several commuting observables. Taking those states as initial conditions, which are then propagated by the pertinent Schrödinger or von Neumann equation up to some later time point, and invoking a few additional, fairly weak and realistic assumptions, we show that most of them still entail very similar expectation values for any given observable. This so-called dynamical typicality property thus corroborates the widespread observation that a few macroscopic features are sufficient to ensure the reproducibility of experimental measurements despite many unknown and uncontrollable microscopic details of the system. We also discuss and exemplify the usefulness of our general analytical result as a powerful numerical tool.