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We investigate the design of taper structures for coupling to slow-light modes of various photonic-crystal waveguides while taking into account parameter uncertainties inherent in practical fabricatio...
The plasma analog of an adiabatic lapse rate (or temperature variation with height) in atmospheric physics is obtained. A new source of plasma temperature gradient in a binary ion species mixture is f...
We consider the dynamics of a massless scalar field with time-dependent sources in the adiabatic limit. This is an example of an adiabatic problem without spectral gap. The main goal of our paper is t...
Abstract: We present an analysis of the adiabatic approximation to understand when it applies, in view of the recent criticisms and studies for the validity of the adiabatic theorem. We point out that...
A new approach called the Schr\"odinger Collective Intrinsic Model (SCIM) has been developed to achieve a microscopic description of the coupling between collective and intrinsic excitations.
Abstract: A general nonlinear dispersion relation is derived in a nondifferential form for a quasistationary sinusoidal Langmuir wave in collisionless plasma, allowing for an arbitrary distribution of...
Abstract: A Lagrangian formalism is developed for a general nondissipative quasiperiodic nonlinear wave with trapped particles in collisionless plasma. The adiabatic time-averaged Lagrangian density L...
Abstract: A proof of the adiabatic theorem for quantum systems whose time evolution proceeds along discrete time, e.g., quantum maps and quantum circuits, is shown.
Abstract: A Lagrangian formalism is developed for a general nondissipative quasiperiodic nonlinear wave with trapped particles in collisionless plasma. The adiabatic time-averaged Lagrangian density L...
Abstract: A general nonlinear dispersion relation is derived in a nondifferential form for a quasistationary sinusoidal Langmuir wave in collisionless plasma, allowing for an arbitrary distribution of...
Abstract: The evolution of waves with trapped particles is described within the Lagrangian model developed in Paper I. One-dimensional nonlinear Langmuir waves with deeply trapped electrons are addres...
Abstract: We demonstrate loading, trapping and adiabatic cooling of polar molecules in a new type of electric trap. The trap consists of two microstructured capacitor plates with an additional perimet...
Abstract: We develop an adiabatic theory for generators of contracting evolution on Banach spaces. This provides a uniform framework for a host of adiabatic theorems ranging from unitary quantum evolu...
Abstract: We study Landau-Zener interband transitions for a non-symmetric optical lattice in the presence of an external force. We show that gain and losses of the light beam, as well as the relative ...
An one dimensional adiabatic model has been proposed for fusion of loosely bound and halo light nuclei with various heavy targets. It is shown that fusion cross sections at near and sub-barrier energ...

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