Abstract
We study the conservative as well as the dissipative quantal dynamics in a harmonically driven, quartic double-well potential. In the deep quantal regime, we find coherent modifications of tunneling, including its complete suppression. In the semiclassical regime of the conservative system, the dynamics is dominated by the interplay of tunneling and chaotic diffusion. A strong correlation exists between the tunnel splittings and the overlaps of the associated doublet states with the chaotic layer. With weak dissipation, remnants of coherent behaviour occur as transients, such as the tunneling between symmetry-related pairs of limit cycles. The coherent suppression of tunneling observed in the conservative case is stabilized by weak incoherence. The quantal stationary states are broadened anisotropically due to quantum noise, as compared to the corresponding classical attractors.
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Dittrich, T., Hänggi, P., Oelschlägel, B., Utermann, R. (1995). Driven tunneling: New possibilities for coherent and incoherent quantum transport. In: Brey, J.J., Marro, J., Rubí, J.M., San Miguel, M. (eds) 25 Years of Non-Equilibrium Statistical Mechanics. Lecture Notes in Physics, vol 445. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-59158-3_50
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DOI: https://doi.org/10.1007/3-540-59158-3_50
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