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Competing tunneling trajectories in a 2D potential with variable topology as a model for quantum bifurcations | | V.A. Benderskii
; E.V. Vetoshkin
; E.I. Kats
; L.D. Landau
; H.P. Trommsdorff
; | | Date: |
2 Sep 2002 | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | Affiliation: | Institute of Problems of Chemical Physics, RAS, Chernogolovka, Russia), E.I. Kats (Laue-Langevin Institute, Grenoble, France), and L.D. Landau (Institute for Theoretical Physics, RAS, Moscow, Russia), H.P. Trommsdorff (Laboratoire de Spectrometrie Phys | | Abstract: | We present a path - integral approach to treat a 2D model of a quantum bifurcation. The model potential has two equivalent minima separated by one or two saddle points, depending on the value of a continuous parameter. Tunneling is therefore realized either along one trajectory or along two equivalent paths. Zero point fluctuations smear out the sharp transition between these two regimes and lead to a certain crossover behavior. When the two saddle points are inequivalent one can also have a first order transition related to the fact that one of the two trajectories becomes unstable. We illustrate these results by numerical investigations. Even though a specific model is investigated here, the approach is quite general and has potential applicability for various systems in physics and chemistry exhibiting multi-stability and tunneling phenomena. | | Source: | arXiv, cond-mat/0209030 | | Services: | Forum | Review | PDF | Favorites | |
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