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arXiv:0805.3730 · Physica D Nonlinear Phenomena

Nonlinear dynamic phenomena in macroscopic tunneling

G. Dekel, O. V. Farberovich, Avy Soffer, V. Fleurov

Published Jul 10, 2008• 16 citations
arXivHTMLPDF
DOI
10.1016/j.physd.2008.06.013

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We develop a theoretical description of nonadiabatic Josephson dynamics in superconducting junctions containing low energy quasiparticles. Within this approach we investigate the effects of midgap states in junctions of unconventional d-wave superconductors. We identify a reentrance effect in the transition between thermal activation and macroscopic quantum tunneling, and connect this phenomenon to the experimental observations in Phys. Rev. Lett. 94, 087003 (2005). It is also shown that nonlinear Josephson dynamics can be defined by resonant interaction with midgap states reminiscent of nonlinear optical phenomena in media of two-level atoms.
In this paper we investigate various macroscopic quantum tunnelling phenomena and the phase coherence property of rotating Bose–Einstein condensates. Based on the two-mode approximation, three different cases are studied. When the rotating frequency is independent of time t , by using the SU (2) coherent state path integral method, we discuss two cases: a superposition of two macroscopic states and a Josephson-type ground state. In addition, the specific conditions to reach the two cases are obtained. We also discuss the nonlinear Landau–Zener effect in the dynamic case in which the rotating frequency varies with time t .
In this work, a mechanism of macroscopic quantum tunneling is studied, which shows this sort of phenomena may exist even in the bio-field system. The relevant Davydov solitons fields and the Feynman digraph have been constructed based on the nonlinear Green function theory, which allows one to get a synchronous resonance model to explain the macroscopic quantum tunneling, such as in double potential wells system. Furthermore, the functional of quantum information density can also be applied to drive the object into a type of soliton structure of quantum information density, which allows the system to possess property of the macroscopic quantum tunneling.