Phase-space tomography of matter-wave diffraction in the Talbot regime
Phase-space tomography of matter-wave diffraction in the Talbot regime
We report on the theoretical investigation of the Wigner distribution function (WDF) reconstruction of the motional quantum state of large molecules in de Broglie interference. de Broglie interference of fullerenes and the like already proves the wavelike behaviour of these heavy particles, while we aim to extract more quantitative information about the superposition quantum state in motion. We simulate the reconstruction of the WDF numerically based on an analytic probability distribution and investigate its properties by the variation of parameters which are relevant for the experiment. Even though the WDF described in the near-field experiment cannot be reconstructed completely, we observe negativity even in the partially reconstructed WDF. We further consider incoherent factors to simulate the experimental situation, such as a finite number of slits, collimation and particle-slit van der Waals interaction. From this we find experimental conditions to reconstruct the WDF from Talbot interference fringes in molecule Talbot–Lau interferometry.
Lee, S.K.
c81bd889-87b6-40f1-99d9-3f6b6898305a
Kim, M.S.
8f5be4b5-c02a-4948-b62e-5bcd4766129d
Szewc, C.
692ead73-46e6-4107-89c8-9a5404d88482
Ulbricht, Hendrik
5060dd43-2dc1-47f8-9339-c1a26719527d
2 April 2012
Lee, S.K.
c81bd889-87b6-40f1-99d9-3f6b6898305a
Kim, M.S.
8f5be4b5-c02a-4948-b62e-5bcd4766129d
Szewc, C.
692ead73-46e6-4107-89c8-9a5404d88482
Ulbricht, Hendrik
5060dd43-2dc1-47f8-9339-c1a26719527d
Lee, S.K., Kim, M.S., Szewc, C. and Ulbricht, Hendrik
(2012)
Phase-space tomography of matter-wave diffraction in the Talbot regime.
New Journal of Physics, 14.
(doi:10.1088/1367-2630/14/4/045001).
Abstract
We report on the theoretical investigation of the Wigner distribution function (WDF) reconstruction of the motional quantum state of large molecules in de Broglie interference. de Broglie interference of fullerenes and the like already proves the wavelike behaviour of these heavy particles, while we aim to extract more quantitative information about the superposition quantum state in motion. We simulate the reconstruction of the WDF numerically based on an analytic probability distribution and investigate its properties by the variation of parameters which are relevant for the experiment. Even though the WDF described in the near-field experiment cannot be reconstructed completely, we observe negativity even in the partially reconstructed WDF. We further consider incoherent factors to simulate the experimental situation, such as a finite number of slits, collimation and particle-slit van der Waals interaction. From this we find experimental conditions to reconstruct the WDF from Talbot interference fringes in molecule Talbot–Lau interferometry.
Text
Phase-space tomography...1202.6286
- Accepted Manuscript
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Published date: 2 April 2012
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Author Ulbricht confirms Arxiv version is accepted manuscript
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Local EPrints ID: 418194
URI: http://eprints.soton.ac.uk/id/eprint/418194
ISSN: 1367-2630
PURE UUID: 04ab3489-ba21-4f68-81fe-c443ab0f6917
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Date deposited: 23 Feb 2018 17:30
Last modified: 16 Mar 2024 03:58
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Author:
S.K. Lee
Author:
M.S. Kim
Author:
C. Szewc
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