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

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.

20 pages, 6 figures, V2: updated to match published version

References in corpus (24)

• The Confrontation between General Relativity and Experiment
• Measurement of the fine-structure constant as a test of the Standard Model
• Precision Measurement of the Newtonian Gravitational Constant Using Cold Atoms
• An ${}^{27}$Al${}^{+}$ quantum-logic clock with systematic uncertainty below $10^{-18}$
• Testing General Relativity with Atom Interferometry
• An Atomic Gravitational Wave Interferometric Sensor (AGIS)
• Quantum Test of the Universality of Free Fall
• Dual Matter-Wave Inertial Sensors in Weightlessness
• General Relativistic Effects in Atom Interferometry
• Gravitational Wave Detection with Atom Interferometry
• Test of the Gravitational Redshift with Galileo Satellites in an Eccentric Orbit
• Space test of the Equivalence Principle: first results of the MICROSCOPE mission
• Determination of the 5d6s 3D1 state lifetime and blackbody radiation clock shift in Yb
• Atom gravimeters and gravitational redshift
• Reply to: Atom gravimeters and the gravitational redshift
• Atomic diffraction from single-photon transitions in gravity and Standard-Model extensions
• Engineering quantum control with twisted-light fields induced optical transitions
• Terrestrial Very-Long-Baseline Atom Interferometry: Workshop Summary
• Quantum field theory for multipolar composite bosons with mass defect and relativistic corrections
• Generalized gravity-gradient mitigation scheme
• Geometric post-Newtonian description of massive spin-half particles in curved spacetime
• Aberrations in (3+1)D Bragg diffraction using pulsed Gaussian laser beams
• Post-Newtonian Description of Quantum Systems in Gravitational Fields
• Understanding the gravitational and magnetic environment of a very long baseline atom interferometer

Cited by in corpus (5)

• Atomic diffraction from single-photon transitions in gravity and Standard-Model extensions
• A unified theory of tunneling times promoted by Ramsey clocks
• Witnessing mass-energy equivalence with trapped atom interferometers
• Unified laboratory-frame analysis of atomic gravitational-wave sensors
• General Relativistic Center-of-Mass Coordinates for Composite Quantum Particles