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arXiv:cond-mat/0504210 · Physical Review Letters

Diffraction of a Bose-Einstein Condensate from a Magnetic Lattice on a Microchip

Andreas Günther, Sebastian Kraft, M. Kemmler, D. Koelle, R. Kleiner, Claus Zimmermann, József Fortágh

Published Oct 20, 2005• 65 citations
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Abstract

We experimentally study the diffraction of a Bose-Einstein condensate from a magnetic lattice, realized by a set of 372 parallel gold conductors which are microfabricated on a silicon substrate. The conductors generate a periodic potential for the atoms with a lattice constant of 4 microm. After exposing the condensate to the lattice for several milliseconds we observe diffraction up to fifth order by standard time of flight imaging techniques. The experimental data can be quantitatively interpreted with a simple phase imprinting model. The demonstrated diffraction grating offers promising perspectives for the construction of an integrated atom interferometer.

DOI
10.1103/physrevlett.95.170405

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We experimentally study the diffraction of a Bose-Einstein condensate from a magnetic lattice, realized by a set of 372 parallel gold conductors which are microfabricated on a silicon substrate. The conductors generate a periodic potential for the atoms with a lattice constant of 4 microm. After exposing the condensate to the lattice for several milliseconds we observe diffraction up to fifth order by standard time of flight imaging techniques. The experimental data can be quantitatively interpreted with a simple phase imprinting model. The demonstrated diffraction grating offers promising perspectives for the construction of an integrated atom interferometer.
We report the phase coherent splitting of Bose-Einstein condensates by means of a phase grating produced near the surface of a microelectronic chip. A lattice potential with a period of 4 mum is generated by the superposition of static and oscillating magnetic fields. Precise control of the diffraction is achieved by controlling the currents in the integrated conductors. The interference of overlapping diffraction orders is observed after 8 ms of propagation in a harmonic trap and subsequent ballistic expansion of the atomic ensemble. By analyzing the interference pattern we show a reproducible phase relation between the diffraction orders with an uncertainty limited by the resolution of the diffraction grating.
The manipulation of quantum degenerate gases has seen a flourishing of results in the last years. One of the most used tools to create and address a Bose-Einstein condensate (BEC) is the atomchip: A lithographycally patterned surface on which gold conductors are used to generate magnetic fields. To fully realize what the atomchip has to offer the miniaturization of structures and the integration of different devices (resonators, light fields, permanent magnets) are key factors. We have devised a method to micro-engineer the trapping potentials by sculpturing the chip, overcoming some limitations of the lithographic process. Numerical simulations are done on model cases to show the potentials they generate. Experimental data collected on one of these microstructured geometries confirms the expectations and gives indications on the quality of its magnetic potential. We propose also a periodic structure allowing to observe a quantum phase transition between a BEC and a Mott insulator. A further possibility for expanding the capabilities of the atomchip is integrating light fields close to its surface. We generate an optical lattice on our chip and use it to realize an atomic beamsplitter. Coherent splitting of a BEC is observed.
Bose-Einstein condensation has been achieved in a magnetic surface microtrap with 4 x 10(5) (87)Rb atoms. The strongly anisotropic trapping potential is generated by a microstructure which consists of microfabricated linear copper conductor of widths ranging from 3 to 30 microm. After loading a high number of atoms from a pulsed thermal source directly into a magneto-optical trap the magnetically stored atoms are transferred into the microtrap by adiabatic transformation of the trapping potential. In the microtrap the atoms are cooled to condensation using forced rf-evaporation. The complete in vacuo trap design is compatible with ultrahigh vacuum below 2 x 10(-11) mbar.
We have fabricated and tested an atom chip that operates as a matter wave interferometer. In this communication we describe the fabrication of the chip by ion-beam milling of gold evaporated onto a silicon substrate. We present data on the quality of the wires, on the current density that can be reached in the wires and on the smoothness of the magnetic traps that are formed. We demonstrate the operation of the interferometer, showing that we can coherently split and recombine a Bose–Einstein condensate with good phase stability.
An atom interferometer is a ubiquitous tool for measuring fundamental constants and inertial sensing. While it has been extremely useful in measuring inertial rotations, the fine-structure constant, gravity gradients, and local gravity, the measurement process lacks the ability to probe continuously due to its single-shot nature. In this work, we experimentally demonstrate the diffraction of an atom laser in the Raman-Nath regime, a key step towards the development of an atom-laser-based interferometer. The diffraction orders can be precisely controlled, and momenta up to $\ifmmode\pm\else\textpm\fi{}18\ensuremath{\hbar}k$ can be imparted to the atom laser. We form the ``atom laser'' by outcoupling a quasicontinuous beam of coherent atoms from a reservoir of 87Rb^{87}\mathrm{Rb}87Rb Bose-Einstein condensate lasting up to 400 ms. This atom laser then interacts with a grating formed by a standing wave of far-detuned laser light. By controlling the interaction time, the strength of diffraction into various orders can be controlled. Such diffraction would allow for the construction of an atom-interferometer to probe changes in physical environments continuously up to a few hundred milliseconds.