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

• URL: http://arxiv.org/abs/2309.14426v3
• Date: Wed, 8 May 2024 08:03:36 GMT
• Title: Finite Pulse-Time Effects in Long-Baseline Quantum Clock Interferometry
• Authors: Gregor Janson, Alexander Friedrich, Richard Lopp,
• Abstract summary: We study the interplay of the quantum center-of-mass $-$ that can become delocalized $-$ together with the internal clock transitions. We show at the example of a Gaussian laser beam that the proposed quantum-clock interferometers are stable against perturbations from varying optical fields.
• Score: 45.73541813564926
• License: http://creativecommons.org/licenses/by-nc-sa/4.0/
• Abstract: 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.

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