تقرير
Quantum versus classical phase-locking transition in a driven-chirped oscillator
| العنوان: | Quantum versus classical phase-locking transition in a driven-chirped oscillator |
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| المؤلفون: | Barth, I., Friedland, L., Gat, O., Shagalov, A. G. |
| سنة النشر: | 2011 |
| المجموعة: | Condensed Matter Physics (Other) Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics, Condensed Matter - Superconductivity, Physics - Atomic Physics, Physics - Plasma Physics |
| الوصف: | Classical and quantum-mechanical phase locking transition in a nonlinear oscillator driven by a chirped frequency perturbation is discussed. Different limits are analyzed in terms of the dimensionless parameters $% P_{1}=\epsilon /\sqrt{2m\hbar \omega_{0}\alpha}$ and $P_{2}=(3\hbar \beta)/(4m\sqrt{\alpha})$ ($\epsilon,$ $\alpha,$ $\beta$ and $\omega_{0}$ being the driving amplitude, the frequency chirp rate, the nonlinearity parameter and the linear frequency of the oscillator). It is shown that for $P_{2}\ll P_{1}+1$, the passage through the linear resonance for $P_{1}$ above a threshold yields classical autoresonance (AR) in the system, even when starting in a quantum ground state. In contrast, for $% P_{2}\gg P_{1}+1$, the transition involves quantum-mechanical energy ladder climbing (LC). The threshold for the phase-locking transition and its width in $P_{1}$ in both AR and LC limits are calculated. The theoretical results are tested by solving the Schrodinger equation in the energy basis and illustrated via the Wigner function in phase space. |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevA.84.013837 |
| URL الوصول: | http://arxiv.org/abs/1104.3296 |
| رقم الأكسشن: | edsarx.1104.3296 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevA.84.013837 |
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