2003/01/31 by B. A. Muzykantskii, B. A. Muzykantskiǐ, Y. Adamov +1
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum Information and Cryptography #Quantum and electron transport phenomena #cond-mat
paper · pdf · doi:10.1103/physrevb.68.155304
published as Phys. Rev. B 68, 155304 (2003) · 8 pages (minor corrections)
arxiv created 2003/03/19 · openalex publication_date 2003/10/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider the Fermi gas in a nonequilibrium state obtained by applying an arbitrary time-dependent potential to the Fermi gas in the ground state. We present a general method that gives the quantum statistics of any single-particle quantity, such as the charge, total energy, or momentum, in this nonequilibrium state. We show that the quantum statistics may be found from the solution of a matrix Riemann-Hilbert problem. We use the method to study how the finite measuring time modifies the distribution of charge transferred through a biased quantum point contact.