Figure 7
Time-dependent variance per particle of the z- component of the angular-momentum operator, \(\dfrac{1}{N}\Delta _{\hat{L}_Z}^2(t)\), in a longitudinally-asymmetric 2D double-well potential for \(\Psi _G\) (left column) and \(\Psi _Y\) (right column) of \(N=10\) bosons with the interaction parameter \(\Lambda =0.01\pi \). The upper and lower rows show \(\dfrac{1}{N}\Delta _{{\hat{L}_Z}}^2(t)\) at the resonant tunneling with asymmetry parameter, \(c=0.25\) and 0.5, respectively. \(M=1\) signifies the mean-field results. The many-body dynamics are computed with \(M= 6\) time-dependent orbitals for \(\Psi _G\) and \(M= 10\) time-dependent orbitals for \(\Psi _Y\). We show here dimensionless quantities. Color codes are explained in each panel.
