Abstract

We discuss the concept of an all-optical and ionizing matter-wave interferometer in the time domain. The proposed setup aims at testing the wave nature of highly massive clusters and molecules, and it will enable new precision experiments with a broad class of atoms, using the same laser system. The propagating particles are illuminated by three pulses of a standing ultraviolet laser beam, which detaches an electron via efficient single-photon absorption. Optical gratings may have periods as small as 80 nm, leading to wide diffraction angles for cold atoms and to compact setups even for very massive clusters. Accounting for the coherent and the incoherent parts of the particle–light interaction, we show that the combined effect of phase and amplitude modulation of the matter waves gives rise to a Talbot–Lau-like interference effect with a characteristic dependence on the pulse delay time.

Highlights

  • All these designs have their merits and drawbacks

  • The propagating particles are illuminated by three pulses of a standing ultraviolet laser beam, which detaches an electron via efficient single photon-absorption

  • It is nowadays possible to nanofabricate e.g. silicon nitride structures with a precision that guarantees a predefined slit period to within a few Angstroms, even over millimeter sized areas [17]. Such masks are of great importance for many applications in atom [18,19] and electron interferometry [20, 21] since they do not rely on any internal particle property

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Summary

Optical elements for matter wave interferometry

Nanomechanical gratings, which serve to block a part of the particle beam, are the most natural diffraction elements for matter waves. It is nowadays possible to nanofabricate e.g. silicon nitride structures with a precision that guarantees a predefined slit period to within a few Angstroms, even over millimeter sized areas [17] Such masks are of great importance for many applications in atom [18,19] and electron interferometry [20, 21] since they do not rely on any internal particle property. For highly polarizable and slow particles, the presence of dispersion forces near the grating walls becomes increasingly important [6, 12, 22, 23] These van der Waals or Casimir-Polder interactions introduce a phase shift with a strong position and velocity dependence [24, 25]. Narrow-band lasers allow one to define the grating period with high precision and the grating transmission function, defined by the particle-light interaction, can be controlled and modulated in situ and on a short time scale via the laser intensity [26, 27]

From phase gratings to absorptive gratings of light
Optical time-domain ionizing matter interferometer
Interferometric setup
Near field interference
Fringe visibility
Quantum or classical patterns?
Expected visibilities for high-mass clusters
Theoretical description
Complex light gratings
Phase space model
Resonance approximation
Fringe shifts and the role of the third grating
Rayleigh scattering in the grating
Collisional decoherence and thermal emission
Fringe averaging on Earth
Experimental considerations
Grating requirements
Source properties
Findings
Conclusions and Outlook
Full Text
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