Fig. 3: Comparison of the AC-QUDIT method with Shortcut to Adiabaticity (STA) using a CDF.
From: Quantum transport protected by acceleration from nonadiabaticity and dissipation
A Survival probabilities as a function of tf/tB obtained by CDF (STA) (dashed lines) and AC-QUDIT (solid lines) for m = 0.5 mB, v(tf / tB) = 0.50 c and v(tf / tB) = 1.5 c. B Same as (A) with m = 2 mB and final speeds v(tf / tB) = 0.5c and v(tf / tB) = 1.5c. C \({{{\mathcal{P}}}}({t}_{f}/{t}_{B})\) for two different system-bath coupling strengths \(\tilde{g}=0.2\,{t}_{B}^{-1}\) [black solid (AC-QUDIT) and green dashed lines (STA)] and \(\tilde{g}=1.0\,{t}_{B}^{-1}\) [blue solid (AC-QUDIT) and red dashed lines (STA)] with m = 0.5 mB and v(tf / tB) = 1.5 c. D Survival probability for transport through vacuum (\(\tilde{g}=0\)) at non-adiabatic final speed v(tf / tB) = 1.5c, i.e., 1.5/2atc (a is the Morse trap-width parameter and tc the coherence time associated with nonadiabatic leakage from the trap), tB = 2tc for simplicity and m = 0.5 mB (can be in any arbitrary unit) obtained by AC-QUDIT (black) and with CDF (green). As before we have used the Lagrange multipliers λ = 1, λ1 = 1. In all the panels the vertical dashed lines indicate the tf/tB = tc/tB point on the time axis.
