Quantum hydrodynamics and nonlinear differential equations for degenerate Fermi gas

Details Quantum hydrodynamics and nonlinear differential equations for degenerate Fermi gas Quantum hydrodynamics and nonlinear differential equations for degenerate Fermi gas

2008-04-14

arxiv.org/abs/0804.2272v3

J. Phys. A: Math. Theor. 41 (2008) 392003

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10+ pages, appendix with some technical details is added

Scientific paper

10.1088/1751-8113/41/39/392003

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 and provide vital tools to study 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.

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