Non-Inertial Response of Correlations: From Scalar Bell Observables to an Extended Correlation Tensor

• URL: http://arxiv.org/abs/2608.19242v1
• Date: Fri, 14 Aug 2026 12:09:46 GMT
• Title: Non-Inertial Response of Correlations: From Scalar Bell Observables to an Extended Correlation Tensor
• Abstract summary: A Bell observable is a scalar correlation associated with a selected pair of local measurement directions.<n>We distinguish two fundamentally different angular sectors.<n>For coincident settings, the Bell observable is positive for photons and negative for fermions.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: A standard Bell observable is a scalar correlation associated with a selected pair of local measurement directions. We formulate it as a projection of the correlation block of a complete two-particle tensor and distinguish two fundamentally different angular sectors. The central result is a reversal of the sign multiplying the angular cosine law: the photon sector has a positive prefactor, whereas the fermionic singlet sector has a negative prefactor. For coincident calibrated settings, the Bell observable is positive for photons and negative for fermions. This sign difference can be used for experimental identification of the two types of objects. For photons, this result follows from averaging two projection amplitudes over the complete non-inertial phase interval; the fermionic sign follows from the negative exchange holonomy of the complete phase--momentum sector. Mapping the phase directions to the physical axes of linear polarizers produces the corresponding double-angle dependence. Accordingly, the two cases are distinguished by their correlation tensors rather than by different definitions of the Bell observable. The photon Stokes correlation tensor has positive linear-polarization components and a negative circular-polarization component, whereas the fermionic singlet is described by an isotropic negative correlation tensor. A motion-dependent extended tensor and its generally frequency-dependent non-inertial susceptibility are introduced. A phase-synchronous experiment with mechanical and equivalent optical modulation is proposed to separate calibrated basis rotations from a residual response of the correlation structure. The same phase construction yields binary joint probabilities and recovers the Tsirelson bound, with opposite signed optimal CHSH combinations for the photon and fermionic sectors.

Related papers

• Spin-spin entanglement at high energy [0.0]
  We discuss the spin-density matrix of a heavy quark-antiquark pair in two complementary small-$x$ processes.<n>In coherent diffractive production, color-singlet exchange enforces an unusually strong relation between entanglement and nonlocality.<n>In inclusive back-to-back production, the density matrix factorizes into a hard spin tensor and the unpolarized and linearly polarized Weizscker--Williams gluon distributions.
  arXiv  Detail & Related papers  (2026-09-13T17:54:52Z)
• Spatial correlations of photons interacting via transverse Rydberg blockade [1.3681174239726606]
  We develop a theory of the transverse spatial dynamics of two interacting photons in a Rydberg nonlinear medium.<n>We explore both longitudinal and transverse correlations of photons propagating as Rydberg polaritons.<n>We identify distinct behaviors and scaling laws for these correlations, arising from fundamentally different mechanisms in the two directions.
  arXiv  Detail & Related papers  (2026-08-31T20:40:00Z)
• Interior skin focusing and directional mirror transfer in a graded non-Hermitian Krawtchouk network [0.0]
  We study a finite open Krawtchouk network with oppositely graded directed hoppings.<n>For a broad intermediate range of asymmetries, their local imaginary gauge field changes sign in the bulk.
  arXiv  Detail & Related papers  (2026-08-19T10:56:53Z)
• Quantum theory of a three-photon Kerr parametric oscillator [75.2200279238806]
  We investigate the quantum properties of a nonlinear Kerr oscillator driven by a three-photon pump.<n>We show that the squeezing can be enhanced, suppressed, or even reversed, leading to a squeezing-to-anti-squeezing transition.
  arXiv  Detail & Related papers  (2026-05-20T11:14:54Z)
• Evolution of multi-qubit correlations driven by mutual interactions [49.1574468325115]
  We analyze the evolution of the correlation tensor elements of quantum systems composed of $frac12$-spins.<n>We show how a strong external field can play a stabilizing factor with respect to certain correlation characteristics.
  arXiv  Detail & Related papers  (2025-07-01T11:45:08Z)
• Wave-particle correlations in multiphoton resonances of coherent light-matter interaction [0.0]
  We discuss the conditional measurement of field amplitudes by a nonclassical photon sequence in the Jaynes-Cummings (JC) model under multiphoton operation.
  arXiv  Detail & Related papers  (2024-02-14T16:51:54Z)
• Two-fermion negativity and confinement in the Schwinger model [0.0]
  We consider the fermionic negativity between two fermionic modes in the Schwinger model. Recent results show that fermionic systems can exhibit stronger entanglement than bosonic systems. We show that the two-mode negativity detects this confining, fermion-to-boson transition.
  arXiv  Detail & Related papers  (2023-12-08T19:00:00Z)
• Entanglement and classical nonseparability convertible from orthogonal polarizations [5.25978802643387]
  We consider light beams with polarization degree of freedom in Euclidean space as coherent product states in a bipartite Hilbert space. Considering light beams with polarization degree of freedom in Euclidean space as coherent product states in a bipartite Hilbert space, we propose a method to convert the two polarizations into simultaneous entanglement and classical nonseparability.
  arXiv  Detail & Related papers  (2023-10-06T07:45:20Z)
• Emergence of non-Abelian SU(2) invariance in Abelian frustrated fermionic ladders [37.69303106863453]
  We consider a system of interacting spinless fermions on a two-leg triangular ladder with $pi/2$ magnetic flux per triangular plaquette. Microscopically, the system exhibits a U(1) symmetry corresponding to the conservation of total fermionic charge, and a discrete $mathbbZ$ symmetry. At the intersection of the three phases, the system features a critical point with an emergent SU(2) symmetry.
  arXiv  Detail & Related papers  (2023-05-11T15:57:27Z)
• Geometric phase in a dissipative Jaynes-Cummings model: theoretical explanation for resonance robustness [68.8204255655161]
  We compute the geometric phases acquired in both unitary and dissipative Jaynes-Cummings models. In the dissipative model, the non-unitary effects arise from the outflow of photons through the cavity walls. We show the geometric phase is robust, exhibiting a vanishing correction under a non-unitary evolution.
  arXiv  Detail & Related papers  (2021-10-27T15:27:54Z)
• Quantum asymmetry and noisy multi-mode interferometry [55.41644538483948]
  Quantum asymmetry is a physical resource which coincides with the amount of coherence between the eigenspaces of a generator. We show that the asymmetry may emphincrease as a result of a emphdecrease of coherence inside a degenerate subspace.
  arXiv  Detail & Related papers  (2021-07-23T07:30:57Z)
• Spectrum of localized states in fermionic chains with defect and adiabatic charge pumping [68.8204255655161]
  We study the localized states of a generic quadratic fermionic chain with finite-range couplings. We analyze the robustness of the connection between bands against perturbations of the Hamiltonian.
  arXiv  Detail & Related papers  (2021-07-20T18:44:06Z)
• Light-matter interactions near photonic Weyl points [68.8204255655161]
  Weyl photons appear when two three-dimensional photonic bands with linear dispersion are degenerated at a single momentum point, labeled as Weyl point. We analyze the dynamics of a single quantum emitter coupled to a Weyl photonic bath as a function of its detuning with respect to the Weyl point.
  arXiv  Detail & Related papers  (2020-12-23T18:51:13Z)

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.