2008/04/30 by Eldad Bettelheim, E. Bettelheim, A. G. Abanov +3
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Dust and Plasma Wave Phenomena #Nonlinear Photonic Systems #cond-mat.mes-hall #cond-mat.str-el #math-ph #math.MP #nlin.SI
paper · pdf · doi:10.1088/1751-8113/41/39/392003
published as J. Phys. A: Math. Theor. 41 (2008) 392003 · 10+ pages, appendix with some technical details is added
openalex publication_date 2008/09/02 · arxiv created 2008/09/03 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We present new nonlinear differential equations for spacetime correlation functions of Fermi gas in one spatial dimension. The correlation functions we consider describe non-stationary processes out of equilibrium. The equations we obtain are integrable equations. They generalize known nonlinear differential equations for correlation functions at equilibrium [1–4] and provide vital tools for studying non-equilibrium dynamics of electronic systems. The method we developed is based only on Wick's theorem and the hydrodynamic description of the Fermi gas. Differential equations appear directly in bilinear form.