The role of Wigner rotation in estimating the specific angular momentum of a Kerr spacetime

• URL: http://arxiv.org/abs/2605.15600v1
• Date: Fri, 15 May 2026 04:15:03 GMT
• Title: The role of Wigner rotation in estimating the specific angular momentum of a Kerr spacetime
• Abstract summary: We study the rotation of the polarization due to the gravitational field in the Kerr spacetime.<n>Using the detection probability, we obtain an estimate for the specific angular momentum.
• Score: 0.37331950863394864
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study the rotation of the polarization due to the gravitational field in the Kerr spacetime and the possibility of estimating the specific angular momentum that parameterizes this metric. Our approach is based on a geodesic interferometer, that is, a Mach-Zehnder interferometer whose arms are defined by null geodesics, and a single photon propagating within it. We show that the detection probability at the output ports of the interferometer is a function of two phase differences, one arising from the gravitational time delay and the other from the polarization rotation, both computed under the slow rotation and weak field approximations. Thereby, the interferometric visibility is a signature of two relativistic effects. Using the detection probability, we obtain an estimate for the specific angular momentum and characterize its uncertainty.

Related papers

• Quantum Arago-Fresnel interference of displaced spin states of photons [5.223315390099459]
  We re-investigate the macroscopic Arago-Fresnel interference producible by photon helicities.<n>We compute the Stokes parameter of a polarized beam combined from a regular coherent state (displaced from the vacuum) and a displaced single-photon spin state.<n>This quantum interferometry establishes a purely optical method to determine the spin of an unknown incident photon.
  arXiv  Detail & Related papers  (2026-07-30T14:01:46Z)
• Entangled quantum clocks as operational probes of spacetime curvature [41.99844472131922]
  We study two localized nonrelativistic quantum particles propagating along timelike geodesics in a curved spacetime background.<n>We compute the covariance of the resulting time observables for separable and entangled two-particle states.<n>We show that spacetime curvature can modify operationally defined quantum correlations.
  arXiv  Detail & Related papers  (2026-07-07T00:58:35Z)
• Local Measurement Scheme of Gravitational Curvature using Atom Interferometers [0.4124271833765226]
  We present a method in which the differential signal of two co-located interferometers singles out a phase shift proportional to the curvature of the gravitational potential. We numerically simulate such a co-located gradiometric interferometer in the context of the Hannover VLBAI facility.
  arXiv  Detail & Related papers  (2024-09-05T13:29:45Z)
• Vector Atom Accelerometry in an Optical Lattice [0.0]
  We experimentally demonstrate two atom interferometers capable of measuring both the magnitude and direction of applied inertial forces. These interferometers do not rely on the ubiquitous light-pulses of traditional atom sensors. We find the performance of our device to be near the quantum limit for the interferometer size and quantum detection efficiency of the atoms.
  arXiv  Detail & Related papers  (2024-07-05T21:52:28Z)
• Witnessing mass-energy equivalence with trapped atom interferometers [0.10686401485328585]
  We propose an experimental setup to probe the interplay between the quantum superposition principle and gravitational time dilation.<n>It capitalizes on state-of-the-art atom interferometers that can keep atoms trapped in a superposition of heights in Earth's gravitational field for exceedingly long times.
  arXiv  Detail & Related papers  (2024-06-27T09:43:05Z)
• Non-Reciprocity in Photon Polarization based on direction of polarizer under Gravitational Fields [0.0]
  We show that non-reciprocity in the photon polarization angle can arise by tailoring the quantization axis. We propose an astronomical interferometer composed of satellites with the tailored quantization axis.
  arXiv  Detail & Related papers  (2023-09-21T13:36:23Z)
• Gate-based spin readout of hole quantum dots with site-dependent $g-$factors [101.23523361398418]
  We experimentally investigate a hole double quantum dot in silicon by carrying out spin readout with gate-based reflectometry. We show that characteristic features in the reflected phase signal arising from magneto-spectroscopy convey information on site-dependent $g-$factors in the two dots.
  arXiv  Detail & Related papers  (2022-06-27T09:07:20Z)
• Quantum interferometry for rotation sensing in an optical microresonator [0.6645111950779664]
  We realize an effective interferometry with SU(2) algebraic structure. We find that the estimate accuracy for the angular velocity of the rotation can achieve and even break the Heisenberg limit. We hope that our investigation will be useful in the design of a quantum gyroscope based on spinning resonators.
  arXiv  Detail & Related papers  (2021-03-18T03:58:13Z)
• The Effect of Stationary Axisymmetric Spacetimes in Interferometric Visibility [0.0]
  We consider a scenario in which a spin-1/2 quanton goes through a superposition of co-rotating and counter-rotating circular paths. Since the spin of the particle plays the role of a quantum clock, as the quanton moves in a superposed path it gets entangled with the momentum. In stationary axisymmetric spacetimes there is a difference in proper time elapsed along the two trajectories.
  arXiv  Detail & Related papers  (2021-02-18T21:28:11Z)
• New approach to describe two coupled spins in a variable magnetic field [55.41644538483948]
  We describe the evolution of two spins coupled by hyperfine interaction in an external time-dependent magnetic field. We modify the time-dependent Schr"odinger equation through a change of representation. The solution is highly simplified when an adiabatically varying magnetic field perturbs the system.
  arXiv  Detail & Related papers  (2020-11-23T17:29:31Z)
• Gravity Probe Spin: Prospects for measuring general-relativistic precession of intrinsic spin using a ferromagnetic gyroscope [51.51258642763384]
  An experimental test at the intersection of quantum physics and general relativity is proposed. The behavior of intrinsic spin in spacetime is an experimentally open question. A measurement is possible by using mm-scale ferromagnetic gyroscopes in orbit around the Earth.
  arXiv  Detail & Related papers  (2020-06-16T17:18:44Z)
• Interference of Clocks: A Quantum Twin Paradox [39.645665748998816]
  Phase of matter waves depends on proper time and is susceptible to special-relativistic (kinematic) and gravitational (redshift) time dilation. It is conceivable that atom interferometers measure general-relativistic time-dilation effects. We show that closed light-pulse interferometers without clock transitions during the pulse sequence are not sensitive to gravitational time dilation in a linear potential.
  arXiv  Detail & Related papers  (2019-05-22T12:30:57Z)
• Proposal for an optical interferometric measurement of the gravitational red-shift with satellite systems [52.77024349608834]
  Einstein Equivalence Principle (EEP) underpins all metric theories of gravity. The iconic gravitational red-shift experiment places two fermionic systems, used as clocks, in different gravitational potentials. A fundamental point in the implementation of a satellite large-distance optical interferometric experiment is the suppression of the first-order Doppler effect. We propose a novel scheme to suppress it, by subtracting the phase-shifts measured in the one-way and in the two-way configuration between a ground station and a satellite.
  arXiv  Detail & Related papers  (2018-11-12T16:25:57Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.