Meissner transport current in flat films of arbitrary shape and a magnetic trap for cold atoms

Abstract

The use of superconducting films in the Meissner state reduces the level of noise in micro-and nanochips. Here we present a numerical scheme for computing the Meissner transport current distribution in superconducting films of arbitrary shape, including multiply connected films. The scheme is used for simulating a 3D magnetic trap for cold atoms. Our algorithm is easily generalized for computing the Meissner-London distribution of transport current.

Dynamics of a dipolar Bose-Einstein condensate in the vicinity of a superconductor

“…Here we only give the necessary expressions to calculate the frequency shift, this model is explained in more detail in [34]. (27) with the column density n 1D (z) = 15 16…”

“…In order to calculate the frequency shift one can determine the analytical expressions for (26) and then numerically integrate (27). However, the integral in (27) can also be calculated completely analytical. The result is a very lengthy expression, so we will not give it here but we will present an interesting limit.…”

Superconducting properties of a parallelepiped mesoscopic superconductor: A comparative study between the 2D and 3D Ginzburg–Landau models

“…The local magnetic field profile of a mesoscopic superconductor in the so-called SQUID (superconducting quantum interference device) geometry was studied using the 3D approach [19]. These systems are very important in the fabrication and development of microwave circuits and atom chips [20,21] and in the SQUID production [22]. The limit below which a parallelepiped superconductor of cross section area S = 9ξ 2 should be described by the 3D Ginzburg-Landau model corresponds to the thickness d ≤ 8ξ .…”

Superconducting state in a circular SQUID shaped mesoscopic film

“…[1][2][3] In 2007, Brandt and Mikitik 4 studied what is known as the shaking effect, considering an inclined DC magnetic field and a small AC field applied parallel to the plane of a superconducting thin film. Thus they obtained an anisotropic relaxation of the internal field and sheet currents over the sample.…”