A Nonlinear Landau-Zener Formula
نویسندگان
چکیده
منابع مشابه
A nonlinear Landau-Zener formula
We consider a system of two coupled ordinary differential equations which appears as an envelope equation in Bose–Einstein Condensation. This system can be viewed as a nonlinear extension of the celebrated model introduced by Landau and Zener. We show how the nonlinear system may appear from different physical models. We focus our attention on the large time behavior of the solution. We show th...
متن کاملThe Landau-Zener formula.
The Landau-Zener formula for the probability that a nonadiabatic transition has taken place is derived without solving directly the usual second-order differential equation. This is achieved in just a few steps by using contour integration.
متن کاملComment on "The Landau-Zener formula".
J. Phys. Chem. B 2005, 109 (17), 8428−8430. DOI: 10.1021/jp040627u T Landau−Zener formula was derived in 1932 and since then has remained an important tool in molecular dynamics and spectroscopy. In 2005, C. Witting proposed a simple derivation of the formula; it looks very useful and probably will be widely used. In this Comment, a new derivation of the Landau−Zener formula is proposed. Severa...
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Effects of a periodic driving field on Landau–Zener (LZ) processes are studied using a nonlinear two-mode model that describes the mean-field dynamics of a many-body system. A variety of different dynamical phenomena in different parameter regimes of the driving field are discussed and analyzed. These include shifted, weakened, or enhanced phase dependence of nonlinear LZ (NLZ) processes, nonli...
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A transition between energy levels at an avoided crossing is known as a Landau–Zener transition. When a two-level system (TLS) is subject to periodic driving with sufficiently large amplitude, a sequence of transitions occurs. The phase accumulated between transitions (commonly known as the Stückelberg phase) may result in constructive or destructive interference. Accordingly, the physical obse...
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ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2013
ISSN: 0022-4715,1572-9613
DOI: 10.1007/s10955-013-0785-x