Friedel oscillations in a gas of interacting one-dimensional fermionic atoms confined in a harmonic trap

S. N. Artemenko, Gao Xianlong, W. Wonneberger

Using an asymptotic phase representation of the particle density operator $\hat{\rho }(z)$ in the one-dimensional harmonic trap, the part $\delta {\hat{\rho }}_F(z)$ which describes the Friedel oscill…