Finite Pulse-Time Effects in Long-Baseline Quantum Clock Interferometry

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Hauptverfasser: Janson, Gregor, Friedrich, Alexander, Lopp, Richard
Format: Preprint
Veröffentlicht: 2023
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author Janson, Gregor
Friedrich, Alexander
Lopp, Richard
author_facet Janson, Gregor
Friedrich, Alexander
Lopp, Richard
contents Quantum-clock interferometry has been suggested as a quantum probe to test the universality of free fall (UFF) and the universality of gravitational redshift (UGR). In typical experimental schemes it seems advantageous to employ Doppler-free E1-M1 transitions which have so far been investigated in quantum gases at rest. Here, we consider the fully quantized atomic degrees of freedom and study the interplay of the quantum center-of-mass (COM) $-$ that can become delocalized $-$ together with the internal clock transitions. In particular, we derive a model for finite-time E1-M1 transitions with atomic intern-extern coupling and arbitrary position-dependent laser intensities. We further provide generalizations to the ideal expressions for perturbed recoilless clock pulses. Finally, we show at the example of a Gaussian laser beam that the proposed quantum-clock interferometers are stable against perturbations from varying optical fields for a sufficiently small quantum delocalization of the atomic COM.
format Preprint
id arxiv_https___arxiv_org_abs_2309_14426
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Finite Pulse-Time Effects in Long-Baseline Quantum Clock Interferometry
Janson, Gregor
Friedrich, Alexander
Lopp, Richard
Quantum Physics
General Relativity and Quantum Cosmology
Atomic Physics
Quantum-clock interferometry has been suggested as a quantum probe to test the universality of free fall (UFF) and the universality of gravitational redshift (UGR). In typical experimental schemes it seems advantageous to employ Doppler-free E1-M1 transitions which have so far been investigated in quantum gases at rest. Here, we consider the fully quantized atomic degrees of freedom and study the interplay of the quantum center-of-mass (COM) $-$ that can become delocalized $-$ together with the internal clock transitions. In particular, we derive a model for finite-time E1-M1 transitions with atomic intern-extern coupling and arbitrary position-dependent laser intensities. We further provide generalizations to the ideal expressions for perturbed recoilless clock pulses. Finally, we show at the example of a Gaussian laser beam that the proposed quantum-clock interferometers are stable against perturbations from varying optical fields for a sufficiently small quantum delocalization of the atomic COM.
title Finite Pulse-Time Effects in Long-Baseline Quantum Clock Interferometry
topic Quantum Physics
General Relativity and Quantum Cosmology
Atomic Physics
url https://arxiv.org/abs/2309.14426