The interface of gravity and quantum mechanics illuminated by Wigner phase space

Enno Giese; Wolfgang Zeller; Stephan Kleinert; Matthias Meister; Vincenzo Tamma; Albert Roura; Wolfgang P. Schleich

doi:10.3254/978-1-61499-448-0-171

The interface of gravity and quantum mechanics illuminated by Wigner phase space

Enno Giese, Wolfgang Zeller, Stephan Kleinert, Matthias Meister, Vincenzo Tamma, Albert Roura, Wolfgang P. Schleich

Ulm University

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Abstract

We provide an introduction into the formulation of non-relativistic quantum mechanics using the Wigner phase-space distribution function and apply this concept to two physical situations at the interface of quantum theory and general relativity: (i) the motion of an ensemble of cold atoms relevant to tests of the weak equivalence principle, and (ii) the Kasevich-Chu interferometer. In order to lay the foundations for this analysis we first present a representation-free description of the Kasevich-Chu interferometer based on unitary operators.

Original language	English
Pages (from-to)	171-236
Number of pages	66
Journal	Proceedings of the International School of Physics "Enrico Fermi" Course
Volume	188
DOIs	https://doi.org/10.3254/978-1-61499-448-0-171
Publication status	Published - 5 Feb 2014
Externally published	Yes

Keywords

quant-ph
physics.atom-ph

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The interface of gravity and quantum mechanicsAccepted author manuscript (Post-print), 861 KB

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AU - Giese, Enno

AU - Zeller, Wolfgang

AU - Kleinert, Stephan

AU - Meister, Matthias

AU - Tamma, Vincenzo

AU - Roura, Albert

AU - Schleich, Wolfgang P.

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AB - We provide an introduction into the formulation of non-relativistic quantum mechanics using the Wigner phase-space distribution function and apply this concept to two physical situations at the interface of quantum theory and general relativity: (i) the motion of an ensemble of cold atoms relevant to tests of the weak equivalence principle, and (ii) the Kasevich-Chu interferometer. In order to lay the foundations for this analysis we first present a representation-free description of the Kasevich-Chu interferometer based on unitary operators.

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JO - Proceedings of the International School of Physics "Enrico Fermi" Course

JF - Proceedings of the International School of Physics "Enrico Fermi" Course

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The interface of gravity and quantum mechanics illuminated by Wigner phase space

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Keywords

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