Introduction to gravitational redshift of quantum photons propagating in curved spacetime
arXiv:2303.17412 · doi:10.1088/1742-6596/2531/1/012016
Abstract
Gravitational redshift is discussed in the context of quantum photons propagating in curved spacetime. A brief introduction to modelling realistic photons is first presented and the effect of gravity on the spectrum computed for photons largely confined along the direction of propagation. It is then shown that redshift-induced transformations on photon operators with sharp momenta are not unitary, while a unitary transformation can be constructed for realistic photons with finite bandwidth. The unitary transformation obtained is then characterized as a multimode mixing operation, which is a generalized rotation of the Hilbert-space basis. Finally, applications of these results are discussed with focus on performance of quantum communication protocols, exploitation of the effects for quantum metrology and sensing, as well as potential for tests of fundamental science.
arXiv comment27 pages, 2 figures
References in corpus (96)
- Quantum Cryptography
- Quantum sensing
- The Confrontation between General Relativity and Experiment
- Advances in Quantum Metrology
- Long-distance quantum communication with atomic ensembles and linear optics
- Simple Proof of Security of the BB84 Quantum Key Distribution Protocol
- Advances in Quantum Cryptography
- Satellite-to-ground quantum key distribution
- Secure quantum key distribution with realistic devices
- Multi-photon entanglement and interferometry
- Models of Wave-function Collapse, Underlying Theories, and Experimental Tests
- Detection of the gravitational redshift in the orbit of the star S2 near the Galactic centre massive black hole
- A Spin Entanglement Witness for Quantum Gravity
- Continuous variable quantum information: Gaussian states and beyond
- Gravitationally-induced entanglement between two massive particles is sufficient evidence of quantum effects in gravity
- Direct Measurement of the Quantum Wavefunction
- Secure quantum key distribution over 421 km of optical fiber
- Quantum Illumination with Gaussian States
- Quantum Information and Relativity Theory
- Loop Quantum Gravity
- 2020 Global reassessment of the neutrino oscillation picture
- Relativistic redshift of the star S0-2 orbiting the Galactic center supermassive black hole
- Resolving the gravitational redshift within a millimeter atomic sample
- Gravitationally redshifted absorption lines in the X-ray burst spectra of a neutron star
- AEDGE: Atomic Experiment for Dark Matter and Gravity Exploration in Space
- Experimental Satellite Quantum Communications
- The Unruh effect in quantum information beyond the single-mode approximation
- Micius quantum experiments in space
- Spontaneous parametric down-conversion
- Advances in Space Quantum Communications
- Towards a Distributed Quantum Computing Ecosystem
- A gravitational redshift test using eccentric Galileo satellites
- Quantum Tests of the Einstein Equivalence Principle with the STE-QUEST Space Mission
- Gravitational Decoherence
- Tabletop experiments for quantum gravity: a user's manual
- Test of the Gravitational Redshift with Galileo Satellites in an Eccentric Orbit
- Stochastic Gravity: Theory and Applications
- Theory of quantum frequency conversion and type-II parametric down-conversion in the high-gain regime
- Distinguishability and many-particle interference
- Uhlmann fidelity between two-mode Gaussian states
- Testing gravity with cold atom interferometry: Results and prospects
- Equivalence Principle and Gravitational Redshift
- Space-borne quantum memories for global quantum communication
- CubeSat quantum communications mission
- Hologram of a Single Photon
- Macroscopic quantum resonators (MAQRO): 2015 Update
- Quantum metrology for relativistic quantum fields
- A Gravitational Redshift Determination of the Mean Mass of White Dwarfs. DA Stars
- Highly Efficient Source for Indistinguishable Photons of Controlled Shape
- Relativistic Quantum Information in Detectors-Field Interactions
- Precision Gravity Tests and the Einstein Equivalence Principle
- Quantizing time: Interacting clocks and systems
- Quantum clocks observe classical and quantum time dilation
- Sustainable entanglement production from a quantum field
- Squeezed Vacua and the Quantum Statistics of Cosmological Particle Creation
- Voyage to Alpha Centauri: Entanglement degradation of cavity modes due to motion
- Exploring the unification of quantum theory and general relativity with a Bose-Einstein condensate
- Heisenberg limited single-mode quantum metrology
- Towards Quantum Communication from Global Navigation Satellite System
- On the Verge of an Astronomy CubeSat Revolution
- Quantum repeaters in space
- Nonlinear electrodynamics and the gravitational redshift of highly magnetised neutron stars
- Testing the foundations of quantum physics in space Interferometric and non-interferometric tests with Large Particles
- The gravitational redshift of boson stars
- A Quantum Space Behind Simple Quantum Mechanics
- Gravitational Redshift Tests with Atomic Clocks and Atom Interferometers
- Quantum Communication with an Accelerated Partner
- On the Interpretation of the Redshift in a Static Gravitational Field
- Optimal Quantum Thermometry with Coarse-grained Measurements
- Space QUEST mission proposal: Experimentally testing decoherence due to gravity
- Probing the gravitational redshift with an Earth-orbiting satellite
- Quantum communications and quantum metrology in the spacetime of a rotating planet
- Relativistic Motion Generates Quantum Gates and Entanglement Resonances
- Bures distance as a measure of entanglement for symmetric two-mode Gaussian states
- Gravitational redshifts in main-sequence and giant stars
- The CubeSpec space mission. I. Asteroseismology of massive stars from time series optical spectroscopy: science requirements and target list prioritisation
- A Gravitational Redshift Measurement of the White Dwarf Mass-Radius Relation
- Quantum memories for fundamental science in space
- Towards Communication in a Curved Spacetime Geometry
- "Mechano-optics": An optomechanical quantum simulator
- Sub-ns timing accuracy for satellite quantum communications
- Spacetime effects on wavepackets of coherent light
- On the Signatures of Gravitational Redshift: The Onset of Relativistic Emission Lines
- Opportunistic Federation of CubeSat Constellations: a Game-Changing Paradigm Enabling Enhanced IoT Services in the Sky
- Quantum-metrology estimation of spacetime parameters of the Earth outperforming classical precision
- Photons and static gravity
- On the gravitational redshift
- Local photons
- Gravitational distortion on photon state at the vicinity of the Earth
- Gravitational redshift induces quantum interference
- Quantum coherence of photons at cosmological distances
- A physically-motivated quantisation of the electromagnetic field on curved spacetimes
- Evolution of confined quantum scalar fields in curved spacetime. Part II
- Evolution of confined quantum scalar fields in curved spacetime. Part I
- Main Sequence Masses and Radii from Gravitational Redshifts
- Detection of Gravitational Redshift in Open Cluster non-degenerate stars