Particle–particle correlation and fluctuations in non-equilibrium Fermi/Bose gases

A theory of fluctuations and correlations in non-equilibrium Fermi and Bose gases is developed. A specific quantum correlation is predicted in non-equilibrium collisional quasi-classical gases, created by collisions between particles. The expressions for correlation sources entering the equation for an equal-time two-particle correlation function are obtained and analyzed. The expressions are valid for arbitrary particle–particle interaction potentials. The possibility of display of the quantum correlation in the macroscopic characteristics of fluctuation phenomena in non-equilibrium gases (e.g., current fluctuations in semiconductors) is discussed. A comparison with correlations in a Lorentz gas is made.

Research highlights
► Kinetic theory of fluctuations in nonequilibrium Fermi and Bose gases is developed.
► Quantum correlation, created by interparticle collisions in nonequilibrium gas, is studied.
► Expressions for correlation sources are obtained for arbitrary interaction potentials.
► Possibility to detect footprints of quantum correlation in noise measurements is noted.