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- W46606095 abstract "Dunlap-Kenkre result states that Dynamical Localization (DL) of a field driven quantum particle in a discrete periodic lattice happens when the ratio of the field magnitude to the field frequency (say, $eta$) of the diagonal sinusoidal drive is a root of the ordinary Bessel function of order 0. This has been experimentally verified. A generalization of the Dunlap-Kenkre result is presented here. We analytically show that if we have an off-diagonal driving field (with modulation $delta$) and diagonal driving field with different frequencies (say $omega_1$ and $omega_2$ respectively) and a definite phase relationship $phi$ between them, one can obtain DL if (1) $eta$ is a zero of the Bessel function of order 0 and $phi$ is an odd multiple of $pi/2$ for equal and $frac{omega_1}{omega_2}= odd integer$ driving frequencies, (2) $eta$ is a zero of the Bessel function of order 0 and $phi$ is an integer multiple of $pi$ including zero for $frac{omega_1}{omega_2}= even integer equiv m$, and (3) $phi = -arcsin(frac{J_0(eta)}{delta J_m(eta)})$ and $eta$ is not a zero of the Bessel function of the even order $m$." @default.
- W46606095 created "2016-06-24" @default.
- W46606095 creator A5069367146 @default.
- W46606095 date "2011-10-31" @default.
- W46606095 modified "2023-09-26" @default.
- W46606095 title "Phase controllable dynamical localization: a generalization of the Dunlap-Kenkre result" @default.
- W46606095 hasPublicationYear "2011" @default.
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