Momentum-Resolved Probing of Lorentz-Violating Dispersion Relations via Unruh-DeWitt Detector

• URL: http://arxiv.org/abs/2503.17757v2
• Date: Wed, 23 Jul 2025 06:33:12 GMT
• Title: Momentum-Resolved Probing of Lorentz-Violating Dispersion Relations via Unruh-DeWitt Detector
• Authors: Hao Xu,
• Abstract summary: We probe Lorentz symmetry violation via modified dispersion relations $omega_|textbfk|$.<n>We employ an Unruh-DeWitt detector to probe energy-dependent modifications to the dispersion relations.<n>Our approach offers a scalable method to test Lorentz symmetry violation across energy scales, and establishes a foundation for experimental verification of Planck-scale relics.
• Score: 6.034968381804006
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Inspired by quantum gravity frameworks predicting Planck-scale deviations from Lorentz invariance, we probe Lorentz symmetry violation via modified dispersion relations $\omega_{|\textbf{k}|}$. Departing from conventional approaches, we employ an Unruh-DeWitt detector to probe energy-dependent modifications to the dispersion relations. Two key methodological advances are introduced: (i) a generalized formulation for detector acceleration without assuming specific dispersion relations, and (ii) a momentum-resolved detection paradigm enabling spectral decomposition of $\omega_{|\textbf{k}|}$ through localized momentum-shell integration. Analysis of deviations reveals disruption of the thermal spectrum under significant departures from the Lorentz invariance, while small perturbative regimes manifest as phase-modulated thermal distributions. By restricting detector-field interactions to narrow spectral windows and performing iterative Taylor expansions around reference momenta $|\textbf{k}_0|$, we derive coefficients encoding derivatives of $\omega_{|\textbf{k}|}$, reconstructing its global profile via momentum-space tomography. Our approach offers a scalable method to test Lorentz symmetry violation across energy scales, and establishes a foundation for experimental verification of Planck-scale relics through high-precision spectral measurements.

Related papers

• Avoided-crossings, degeneracies and Berry phases in the spectrum of quantum noise through analytic Bloch-Messiah decomposition [49.1574468325115]
  "analytic Bloch-Messiah decomposition" provides approach for characterizing dynamics of quantum optical systems. We show that avoided crossings arise naturally when a single parameter is varied, leading to hypersensitivity of the singular vectors. We highlight the possibility of programming the spectral response of photonic systems through the deliberate design of avoided crossings.
  arXiv  Detail & Related papers  (2025-04-29T13:14:15Z)
• Covariant non-perturbative pointer variables for quantum fields [44.99833362998488]
  We derive and renormalize the integro-differential equation that governs the detector pointer-variable dynamics.<n>Our formal solution, expressed in terms of Green's functions, allows for the covariant, and causal analysis of induced observables on the field.
  arXiv  Detail & Related papers  (2025-02-03T11:53:31Z)
• Effects of the Lorentz symmetry violation on relativistic neutral scalar bosons: Scattering and bound states [0.0]
  We consider a tensor $(K_F)_mu nu alpha beta$ out of the Standard Model Extension.<n>We analyze and discuss the effects of Lorentz symmetry violation on the equation of motion.
  arXiv  Detail & Related papers  (2025-01-24T16:42:16Z)
• Quench Spectroscopy for Dissipative and (Non)-Hermitian Quantum Lattice Models [0.0]
  We extend the quench spectroscopy method to dissipative and isolated non-Hermitian quantum lattice models.<n>We first investigate theoretically the dynamics of the open Bose-Hubbard chain confined in the superfluid phase induced by a sudden global quench.<n>We then discuss the applicability of the quench spectroscopy to non-Hermitian transverse-field Ising chain confined in the paramagnetic phase.
  arXiv  Detail & Related papers  (2024-12-01T01:24:11Z)
• Quantum electrodynamics of lossy magnetodielectric samples in vacuum: modified Langevin noise formalism [55.2480439325792]
  We analytically derive the modified Langevin noise formalism from the established canonical quantization of the electromagnetic field in macroscopic media. We prove that each of the two field parts can be expressed in term of particular bosonic operators, which in turn diagonalize the electromagnetic Hamiltonian.
  arXiv  Detail & Related papers  (2024-04-07T14:37:04Z)
• Sampling and estimation on manifolds using the Langevin diffusion [45.57801520690309]
  Two estimators of linear functionals of $mu_phi $ based on the discretized Markov process are considered. Error bounds are derived for sampling and estimation using a discretization of an intrinsically defined Langevin diffusion.
  arXiv  Detail & Related papers  (2023-12-22T18:01:11Z)
• Breakdown of Linear Spin-Wave Theory in a Non-Hermitian Quantum Spin Chain [0.0]
  We present the spin-wave theory of the excitation spectrum and quench dynamics of the non-Hermitian transverse-field Ising model. The complex excitation spectrum is obtained for a generic hypercubic lattice using the linear approximation of the Holstein-Primakoff transformation. We show however that the linear spin-wave approximation breaks down and the bosonic theory is plagued by a divergence at finite times.
  arXiv  Detail & Related papers  (2023-10-02T08:46:40Z)
• End-To-End Latent Variational Diffusion Models for Inverse Problems in High Energy Physics [61.44793171735013]
  We introduce a novel unified architecture, termed latent variation models, which combines the latent learning of cutting-edge generative art approaches with an end-to-end variational framework. Our unified approach achieves a distribution-free distance to the truth of over 20 times less than non-latent state-of-the-art baseline.
  arXiv  Detail & Related papers  (2023-05-17T17:43:10Z)
• The Optical Signatures of Stochastic Processes in Many-Body Exciton Scattering [5.090628201595126]
  We show how direct (Coulomb) and exchange coupling to the bath give rise to distinct spectral signatures. We discuss mathematical limits on inverting spectral signatures to extract the background density of states.
  arXiv  Detail & Related papers  (2022-07-05T15:52:41Z)
• Topological Atomic Spinwave Lattices by Dissipative Couplings [6.129991129970815]
  Recent experimental advance in creating dissipative couplings provides a new route for engineering exotic lattice systems. We experimentally realize a dissipative version of the Su-Schrieffer-Heeger (SSH) model. We construct the dissipation spectra of the topological or trivial lattices via electromagnetically-induced-transparency (EIT) spectroscopy.
  arXiv  Detail & Related papers  (2022-03-29T07:05:35Z)
• Effects of Lorentz Symmetry Violation on a Relativistic Scalar Particle in Quantum Systems [0.0]
  relativistic quantum dynamics of a scalar particle under the effect of Lorentz symmetry violation determined by a tensor $(K_F)_mu,nu,alpha,beta$ out of the Standard Model Extension is investigated. We see that the bound-state solution of the modified Klein-Gordon equation can be obtained, and the spectrum of energy and the wave function depends on the Lorentz symmetry breaking parameters.
  arXiv  Detail & Related papers  (2021-06-03T04:14:00Z)
• Exact thermal properties of free-fermionic spin chains [68.8204255655161]
  We focus on spin chain models that admit a description in terms of free fermions. Errors stemming from the ubiquitous approximation are identified in the neighborhood of the critical point at low temperatures.
  arXiv  Detail & Related papers  (2021-03-30T13:15:44Z)
• Quantum particle across Grushin singularity [77.34726150561087]
  We study the phenomenon of transmission across the singularity that separates the two half-cylinders. All the local realisations of the free (Laplace-Beltrami) quantum Hamiltonian are examined as non-equivalent protocols of transmission/reflection. This allows to comprehend the distinguished status of the so-called bridging' transmission protocol previously identified in the literature.
  arXiv  Detail & Related papers  (2020-11-27T12:53:23Z)
• Probing eigenstate thermalization in quantum simulators via fluctuation-dissipation relations [77.34726150561087]
  The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems. Here, we propose a theory-independent route to probe the full ETH in quantum simulators by observing the emergence of fluctuation-dissipation relations. Our work presents a theory-independent way to characterize thermalization in quantum simulators and paves the way to quantum simulate condensed matter pump-probe experiments.
  arXiv  Detail & Related papers  (2020-07-20T18:00:02Z)
• Decoherence as Detector of the Unruh Effect [58.720142291102135]
  We propose a new type of the Unruh-DeWitt detector which measures the decoherence of the reduced density matrix of the detector interacting with the massless quantum scalar field. We find that the decoherence decay rates are different in the inertial and accelerated reference frames.
  arXiv  Detail & Related papers  (2020-03-10T21:45:09Z)
• Bulk detection of time-dependent topological transitions in quenched chiral models [48.7576911714538]
  We show that the winding number of the Hamiltonian eigenstates can be read-out by measuring the mean chiral displacement of a single-particle wavefunction. This implies that the mean chiral displacement can detect the winding number even when the underlying Hamiltonian is quenched between different topological phases.
  arXiv  Detail & Related papers  (2020-01-16T17:44:52Z)

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.