Quantum recurrences in periodically driven systems
نویسندگان
چکیده
منابع مشابه
Quantum Recurrences in Periodically Driven Systems
The phenomena of recurrence or revival is a beautiful combination of classical mechanics, wave mechanics, and quantum laws. A wave packet evolves over a short period of time in a potential, initially following classical mechanics. It spreads while moving along its classical trajectory, however rebuilds itself after a classical period. It follows wave mechanics in its long time evolution and gra...
متن کاملRecurrences in driven quantum systems.
We consider an initially bound quantum particle subject to an external time-dependent field. When the external field is large, the particle shows a tendency to repeatedly return to its initial state, irrespective of whether the frequency of the field is sufficient for escape from the well. These recurrences, which are absent in a classical calculation, arise from the system evolving primarily l...
متن کاملQuasi-Periodically Driven Quantum Systems
Floquet theory provides rigorous foundations for the theory of periodically driven quantum systems. In the case of non-periodic driving, however, the situation is not so well understood. Here, we provide a critical review of the theoretical framework developed for quasi-periodically driven quantum systems. Although the theoretical footing is still under development, we argue that quasiperiodica...
متن کاملTopological characterization of periodically driven quantum systems
Topological properties of physical systems can lead to robust behaviors that are insensitive to microscopic details. Such topologically robust phenomena are not limited to static systems but can also appear in driven quantum systems. In this paper, we show that the Floquet operators of periodically driven systems can be divided into topologically distinct homotopy classes and give a simple phys...
متن کاملNon-dispersive wave packets in periodically driven quantum systems
With the exception of the harmonic oscillator, quantum wave-packets usually spread as time evolves. This is due to the non-linear character of the classical equations of motion which makes the various components of the wave-packet evolve at various frequencies. We show here that, using the nonlinear resonance between an internal frequency of a system and an external periodic driving, it is poss...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Optics B: Quantum and Semiclassical Optics
سال: 2005
ISSN: 1464-4266,1741-3575
DOI: 10.1088/1464-4266/7/3/015