Length-dependent oscillations in the dc conductance of laser-driven quantum wires

We calculate the dc conductance at zero temperature of clean quantum wires driven by a laser field. In the high-frequency regime we find an interplay between length-dependent interference effects and dynamical localization, which leads to a modulation by a Bessel function of the even-odd oscillations in the conductance. In the low-frequency regime we find that the field suppresses these oscillations. We present some analytical expressions for each of these frequency limits.

Figure 1

Schematic representation of a quantum wire with five sites as modeled in the text.

Figure 2

Dc conductance $g$, as a function of the length of the wire for hopping matrix element $s=1$, coupling to the leads given by $\Gamma =0.1$, laser frequency $\omega =10$, and for different values of the field amplitude $v$.

Figure 3

Dc conductance as a function of the length of the wire for $s=1$, $\Gamma =1$, $v=5$ and three different frequencies of the driving field.

Figure 4

Dc conductance $g$ as a function of the length of the wire for $\Gamma =1$, $s=2$, $v=0.1$ and for different frequencies.

Figure 5

Dc conductance $g$ as a function of the length of the wire for $\Gamma =2$, $s=2$, $v=0.5$ and for different frequencies.

Figure 6

DC conductance $g$ as a function of the length of the wire for $\Gamma =0.5$, $s=1$, $v/\omega =1$, and for different frequencies.