Friedel oscillations in a gas of interacting one-dimensional fermionic atoms confined in a harmonic trap
Friedel oscillations in a gas of interacting one-dimensional fermionic atoms confined in a harmonic trap
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 oscillations is extracted. The expectation value $<\delta \hat{\rho}_F(z)>$ with respect to the interacting ground state requires the calculation of the mean square average of a properly …