Here, the authors demonstrate a combined atom array-nanophotonic chip platform for quantum networking and distributed quantum computing, enabled by a high-fidelity background-free imaging technique, a semi-open photonic chip geometry, and free-space coupling to the nanophotonic cavities. Shankar G. Me...
The frequency f of a wave is inversely proportional to its wavelength λ if the speed v remains constant, following the equation v = fλ. If λ increases, f must decrease to maintain the constant speed. For example, in electromagnetic waves, radio waves have longer wavelengths and lower freq...
A scripting language has been added to the Application Sequencer, dramatically reducing the time to generate custom test sequences with the Sequencer. Application Sequencer files are now saved as .sqs files; which are text files that can be opened in a text editor. ...
which is constructed by merging several ordinary field theories across defects, has been emerging in recent years. The spacetimeXof a generalized gauge theory contains several intersecting components,. The fields and the gauge groupson different components can be different, and the matter fields living...
Consider the general stochastic partial differential equation given by where the meaning of the symbols is identical to Eq. (9) and is a d-dimensional random vector having sample space Ω. We now aim to solve the PCE Numerical algorithms In this section, we present computationally efficient ...
Roots The roots of the characteristic equation are complex and have a real and imaginary part. The real part describes the damping (decay rate) of the system and the imaginary part describes the oscillations or damped natural frequency of the system. S Sampling Parameters A control group that...
In Equation (3.105) ve is the velocity of the electron and re is the effective orbital radius of the electron in an s state; for example, the frequency of arrival of the electron at the barrier is on the order of 1015–1016/s. The time τ (lifetime) during which the transition ...
Sinceuis the solution of the forward problem, it is clear that the forward equation must be solved before the adjoint equation, which, however, remains strictly linear. A useful interpretation of the adjoint equation is that it solves the original PDE but with the mismatch between observations an...
Equation (7.72), discussed in previous subsections, identifies the charge density as the source and sinks of the electric field, and causes E to be divergenceless in places where there is no charge density. When Eq. (7.72) is integrated over a region of volume, it yields Gauss’ law, ...
Numerical treatment for solving a model of non-Newtonian Casson fluid flow over an extensible sheet based on maritime field A numerical solution for steady-state, incompressible, laminar Casson fluid flow and heat transfer in the combined region of a boundary layer is presented ... NI Ghoneim -...