Quantum hydrodynamics and nonlinear differential equations for degenerate Fermi gas

Eldad Bettelheim*, Alexander G. Abanov, Paul B. Wiegmann

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

24 Scopus citations

Abstract

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.

Original languageAmerican English
Article number392003
JournalJournal of Physics A: Mathematical and Theoretical
Volume41
Issue number39
DOIs
StatePublished - 3 Oct 2008

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