Figure 1

(Color online) Scheme of the system described by Hamiltonian (1) with $L=4$ reservoirs and $M=3$ pumping potentials. The grid represents the sites of the central system and the boxes with stripes represent the reservoirs with chemical potentials ${\mu }_{\alpha }$, with $\alpha =1$, …, 4.Reuse & Permissions

Figure 2

(Color online) Solid (red) line, the function $t_1\left(\omega \right)={\mid \mathcal{G}(1,\omega )\mid }^2$ for $V=0.1,{\Omega }_0=0.1$. Dashed (black) lines, the densities of states ${\rho }_L\left(\omega \right)$ and ${\rho }_R\left(\omega \right)$ of the left and right reservoirs, respectively. $\Delta$ denotes the energy difference between two consecutive energy levels in the double barrier structure. A scheme of the device is indicated in the upper left-hand corner. Other parameters are $E_b=1,{\mid w_0\mid }^2=0.1,W=4,N_L=9$.Reuse & Permissions

Figure 3

(Color online) The transmission function $T\left(\omega \right)$ for ${\Omega }_0=0.1$ and $V=0.1$,0.5,1 (top to bottom). Other parameters are as in Fig. 2.Reuse & Permissions

Figure 4

(Color online) The dc $J$ as a function of the chemical potential of the electrodes $\mu$. Top and bottom panels corresponds to pumping voltages $V=0.2$ and $V=1$, respectively. Plots in thin solid (black), dashed (red), dotted-dashed (blue), and thick solid (magenta) lines correspond to ${\Omega }_0=0.01$,0.05,0.1,0.2, respectively. The spacing between two consecutive levels is indicated with $\Delta$. The inset shows details for $V=2$ and ${\Omega }_0=0.1$. Other parameters are as in Fig. 2.Reuse & Permissions

Figure 5

(Color online) The transmission function $T\left(\omega \right)$ for a pumping amplitude $V=0.2$ a phase lag $\delta =\pi ∕2$ and frequencies ${\Omega }_0=0.01$,0.3 (top and bottom panels). The ellipse in the lower panel encloses a region where resonance is achieved. Other parameters are $E_b=1$, ${\mid w_0\mid }^2=0.5$, $W=4$, and $N=20$.Reuse & Permissions

Figure 6

(Color online) The dc $J$ as a function of the chemical potential of the electrodes $\mu$. Top and bottom panels corresponds to couplings to the macroscopic reservoirs ${\mid w_0\mid }^2=0.1$ and ${\mid w_0\mid }^2=0.5$, respectively. The pumping amplitude is $V=0.2$. Plots in thin solid (black), dashed (red), dotted-dashed (blue), and thick solid (magenta) lines correspond to ${\Omega }_0=0.01$,0.3,0.45,0.6, respectively. The spacing between two consecutive levels is referred to as $\Delta$. Other parameters are as in Fig. 5.Reuse & Permissions

Figure 7

(Color online) The dc $J$ as a function of the phase lag $\delta$ for $\mu =0$ and ${\mid w_0\mid }^2=0.5$. Upper and lower panels correspond to pumping amplitudes $V=0.2$ and $V=1$, respectively. Circles, squares, triangles, diamonds, and stars correspond to ${\Omega }_0=0.01$,0.05,0.3,0.45,0.6, respectively. The function $J=0.0185\sin \left(\delta \right)$ is indicated in dashed lines in the lower panel. Other parameters are as in Fig. 5.Reuse & Permissions

Figure 8

(Color online) The dc $J$ as a function of the contact parameter ${\mid w_0\mid }^2$ for $\delta =\pi ∕2$. The upper panel is plotted in log-log scale and corresponds to a pumping amplitude $V=0.2$ and chemical potential $\mu =0$. The reference slope corresponding to $J\propto {\mid w_0\mid }^4$ is plotted by the (light blue) dotted line. The lower panel corresponds to $\mu =1$ and pumping amplitude $V=1$. Plots in thin solid (black), dashed (red), dotted-dashed (blue), thick solid (magenta), and thick dashed-dotted (orange) lines correspond to ${\Omega }_0=0.1$,0.3,0.45,0.6,0.75, respectively. Other parameters are as in Fig. 5.Reuse & Permissions

Figure 9

(Color online) The dc $J$ as a function of the pumping frequency ${\Omega }_0$ for $\delta =\pi ∕2$, chemical potential $\mu =0$, and contact parameter ${\mid w_0\mid }^2=0.1$,0.5,1 [(black) solid, (red) dashed, and (blue) dotted-dashed lines]. Upper and lower panels correspond to pumping amplitudes $V=0.2$ and $V=1$, respectively. Other parameters are as in Fig. 5.Reuse & Permissions

Figure 10

(Color online) The dc $J$ as a function of the pumping amplitude $V$ for $\delta =\pi ∕2$ and ${\Omega }_0=0.01$,0.1,0.3,0.6 [(black) thin, (red) dashed, (blue) dotted-dashed, and (magenta) thick lines, respectively] and ${\mid w_0\mid }^2=0.5$. Left-hand and right-hand panels correspond to $\mu =0$ and $\mu =2$, respectively. The inset in the left-hand panel contains the same data of the main panel in log-log scale. The light blue dashed line indicates the slope for $J\propto V^2$. Other parameters are as in Fig. 5.Reuse & Permissions