Atom interferometer

Interferometry splits a wave into two or more paths, then recombines the waves after interaction along one of the paths. Atom interferometer uses center of mass matter waves with short de Broglie wavelength.[4] [5] Some experiments are now even using molecules to obtain even shorter de Broglie wavelengths and to search for the limits of quantum mechanics.[6] In many experiments with atoms, the roles of matter and light are reversed compared to the laser based interferometers, i.e. the beam splitter and mirrors are lasers while the source instead emits matter waves (the atoms).

A compact Magneto-optical Trap, the first step in generating an atom interferometer.

While the use of atoms offers easy access to higher frequencies (and thus accuracies) than light, atoms are affected much more strongly by gravity. In some apparatuses, the atoms are ejected upwards and the interferometry takes place while the atoms are in flight, or while falling in free flight. In other experiments gravitational effects by free acceleration are not negated; additional forces are used to compensate for gravity. While these guided systems in principle can provide arbitrary amounts of measurement time, their quantum coherence is still under discussion. Recent theoretical studies indicate that coherence is indeed preserved in the guided systems, but this has yet to be experimentally confirmed.

The early atom interferometers deployed slits or wires for the beam splitters and mirrors. Later systems, especially the guided ones, used light forces for splitting and reflecting of the matter wave.[7]

Examples

Group	Year	Atomic species	Method	Measured effect(s)
Pritchard	1991	Na, Na2	Nano-fabricated gratings	Polarizability, index of refraction
Clauser	1994	K	Talbot-Lau interferometer
Zeilinger	1995	Ar	Standing light wave diffraction gratings
Helmke Bordé	1991		Ramsey–Bordé	Polarizability, Aharonov–Bohm effect: exp/theo ${\displaystyle 0.99\pm 0.022}$, Sagnac effect 0.3 rad/s/${\displaystyle \surd }$Hz
Chu	1991 1998	Na Cs	Kasevich - Chu interferometer Light pulses Raman diffraction	Gravimeter: ${\displaystyle 3\cdot 10^{-10}}$ Fine-structure constant: ${\displaystyle \alpha \pm 1.5\cdot 10^{-9}}$
Kasevich	1997 1998	Cs	Light pulses Raman diffraction	Gyroscope: ${\displaystyle 2\cdot 10^{-8}}$rad/s/${\displaystyle \surd }$Hz, Gradiometer:
Berman			Talbot-Lau

Interference of atom matter waves was first observed by Immanuel Estermann and Otto Stern in 1930, when a sodium (Na) beam was diffracted off a surface of sodium chloride (NaCl).[8] The first modern atom interferometer reported was a double-slit experiment with metastable helium atoms and a microfabricated double slit by O. Carnal and Jürgen Mlynek in 1991,[9] and an interferometer using three microfabricated diffraction gratings and Na atoms in the group around David E. Pritchard at the Massachusetts Institute of Technology (MIT).[10] Shortly afterwards, an optical version of a Ramsey spectrometer typically used in atomic clocks was recognized also as an atom interferometer at the Physikalisch-Technische Bundesanstalt (PTB) in Braunschweig, Germany.[11] The largest physical separation between the partial wave packets of atoms was achieved using laser cooling techniques and stimulated Raman transitions by Steven Chu and his coworkers in Stanford University.[12]

In 1999, the diffraction of C₆₀ fullerenes by researchers from the University of Vienna was reported.[13] Fullerenes are comparatively large and massive objects, having an atomic mass of about 720 u. The de Broglie wavelength of the incident beam was about 2.5 pm, whereas the diameter of the molecule is about 1 nm, about 400 times larger. In 2012, these far-field diffraction experiments could be extended to phthalocyanine molecules and their heavier derivatives, which are composed of 58 and 114 atoms respectively. In these experiments the build-up of such interference patterns could be recorded in real time and with single molecule sensitivity.[14]

In 2003, the Vienna group also demonstrated the wave nature of tetraphenylporphyrin[15]—a flat biodye with an extension of about 2 nm and a mass of 614 u. For this demonstration they employed a near-field Talbot Lau interferometer.[16][17] In the same interferometer they also found interference fringes for C₆₀F₄₈, a fluorinated buckyball with a mass of about 1600 u, composed of 108 atoms.[15] Large molecules are already so complex that they give experimental access to some aspects of the quantum-classical interface, i.e., to certain decoherence mechanisms.[18][19] In 2011, the interference of molecules as heavy as 6910 u could be demonstrated in a Kapitza–Dirac–Talbot–Lau interferometer.[20] In 2013, the interference of molecules beyond 10,000 u has been demonstrated.[21]

The 2008 comprehensive review by Alexander D. Cronin, Jörg Schmiedmayer, and David E. Pritchard documents many new experimental approaches to atom interferometry.[22] More recently atom interferometers have begun moving out of laboratory conditions and have begun to address a variety of applications in real world environments.[23][24]

• Electron interferometer
• Ramsey interferometry

• P. R. Berman [Editor], Atom Interferometry. Academic Press (1997). Detailed overview of atom interferometers at that time (good introductions and theory).
• Stedman Review of the Sagnac Effect