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# Optimal thickness of rectangular superconducting microtraps for cold atomic gases

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### Abstract

We study superconducting microtraps with rectangular shapes for cold atomic gases. We present a general argument why microtraps open, if brought close to the surface of the superconductor. We show that for a given width of the strips there exists an optimal thickness under which the closest distance of the microtrap from the superconductor can be achieved. The distance can be significantly improved, if the edge enhancement of the supercurrent near edges and corners is exploited. We compare numerical calculations with results from conformal mapping and show that conformal mapping can often give useful approximate results.

### Most cited references14

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### Magnetic microtraps for ultracold atoms

(2007)
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### Strong magnetic coupling of an ultracold gas to a superconducting waveguide cavity

(2008)
Placing an ensemble of $$10^6$$ ultracold atoms in the near field of a superconducting coplanar waveguide resonator (CPWR) with $$Q \sim 10^6$$ one can achieve strong coupling between a single microwave photon in the CPWR and a collective hyperfine qubit state in the ensemble with $$g_\textit{eff} / {2 \pi} \sim 40$$ kHz larger than the cavity line width of $${\kappa}/{2 \pi} \sim 7$$ kHz. Integrated on an atomchip such a system constitutes a hybrid quantum device, which also can be used to interconnect solid-state and atomic qubits, to study and control atomic motion via the microwave field, observe microwave super-radiance, build an integrated micro maser or even cool the resonator field via the atoms.
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### Realization of a Superconducting Atom Chip

(2006)
We have trapped rubidium atoms in the magnetic field produced by a superconducting atom chip operated at liquid helium temperatures. Up to 8.2x10(5) atoms are held in a Ioffe-Pritchard trap at a distance of 440 microm from the chip surface, with a temperature of 40 microK. The trap lifetime reaches 115 s at low atomic densities. These results open the way to the exploration of atom-surface interactions and coherent atomic transport in a superconducting environment, whose properties are radically different from normal metals at room temperature.
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### Author and article information

###### Journal
10 August 2012
10.1103/PhysRevA.86.023412
1208.2189