Quantum time dilation in atomic spectra

Abstract

Quantum time dilation occurs when a clock moves in a superposition of relativistic momentum wave packets. We utilize the lifetime of an excited hydrogen-like atom as a clock to demonstrate how quantum time dilation manifests in a spontaneous emission process. The resulting emission rate differs when compared to the emission rate of an atom prepared in a mixture of momentum wave packets at order $v^2/c^2$. This effect is accompanied by a quantum correction to the Doppler shift due to the coherence between momentum wave packets. This quantum Doppler shift affects the spectral line shape at order $v/c$. However, its effect on the decay rate is suppressed when compared to the effect of quantum time dilation. We argue that spectroscopic experiments offer a technologically feasible platform to explore the effects of quantum time dilation.

arXiv comment15 pages

References in corpus (54)

• Atom Interferometers
• A Spin Entanglement Witness for Quantum Gravity
• An atomic clock with $10^{-18}$ instability
• Gravitationally-induced entanglement between two massive particles is sufficient evidence of quantum effects in gravity
• An ${}^{27}$Al${}^{+}$ quantum-logic clock with systematic uncertainty below $10^{-18}$
• Generalized uncertainty relations: Theory, examples, and Lorentz invariance
• Quantum Information and Relativity Theory
• Quantum computations without definite causal structure
• A New Method for Gravitational Wave Detection with Atomic Sensors
• Quantum mechanics and the covariance of physical laws in quantum reference frames
• Continuous Cold-atom Inertial Sensor with $1{\text{nrad.s}}^{-1}$ Rotation Stability
• Universal decoherence due to gravitational time dilation
• Quantum interferometric visibility as a witness of general relativistic proper time
• Precision Metrology Meets Cosmology: Improved Constraints on Ultralight Dark Matter from Atom-Cavity Frequency Comparisons
• High-accuracy inertial measurements with cold-atom sensors
• Gravitational Decoherence
• Optical Generation of Vortices in trapped Bose-Einstein Condensates
• Large Momentum Beamsplitter using Bloch Oscillations
• Large Momentum Transfer Clock Atom Interferometry on the 689 nm Intercombination Line of Strontium
• Testing the equivalence principle through freely falling quantum objects
• Bell's Theorem for Temporal Order
• 80hk Momentum Separation with Bloch Oscillations in an Optically Guided Atom Interferometer
• Quantum clocks and the temporal localisability of events in the presence of gravitating quantum systems
• Quantizing time: Interacting clocks and systems
• Quantum clocks observe classical and quantum time dilation
• Spin-motion entanglement and state diagnosis with squeezed oscillator wavepackets
• Switching internal times and a new perspective on the 'wave function of the universe'
• Quantum delocalization, gauge and quantum optics: The light-matter interaction in relativistic quantum information
• Gravitational redshift in quantum-clock interferometry
• Three-path atom interferometry with large momentum separation
• Spontaneous emission of a photon: wave packet structures and atom-photon entanglement
• Entanglement of quantum clocks through gravity
• How to switch between relational quantum clocks
• Post-Newtonian Hamiltonian description of an atom in a weak gravitational field
• Interference of Clocks: A Quantum Twin Paradox
• Quantum Temporal Superposition: the case of QFT
• Unruh-deWitt detectors in quantum superpositions of trajectories
• Equivalence Principle for Quantum Systems: Dephasing and Phase Shift of Free-Falling Particles
• Double-well magnetic trap for Bose-Einstein condensates
• Mass-energy and anomalous friction in quantum optics
• Gravitational mass of composite systems
• Twin paradox with macroscopic clocks in superconducting circuits
• Unruh effect for detectors in superposition of accelerations
• Will a decaying atom feel a friction force?
• Quantum theory of spontaneous emission by real moving atoms
• Quantum principle of relativity
• Ideal clocks - a convenient fiction
• On Coherent Delocalization in the Light-Matter Interaction
• Universal quantum modifications to general relativistic time dilation in delocalised clocks
• Single electron relativistic clock interferometer
• Classical and Nonclassical Time Dilation for Quantum Clocks
• Quantum and classical effects in a light-clock falling in Schwarzschild geometry
• Spontaneous emission of a moving atom in the presence of magnetodielectric material: A relativistic approach
• Can a charged decaying particle serve as an ideal clock in the presence of the magnetic field?

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