A path integral formulation for particle detectors: the Unruh-DeWitt model as a line defect

• URL: http://arxiv.org/abs/2012.14912v2
• Date: Thu, 11 Mar 2021 18:25:00 GMT
• Title: A path integral formulation for particle detectors: the Unruh-DeWitt model as a line defect
• Authors: I.M. Burbano and T. Rick Perche and Bruno de S. L. Torres
• Abstract summary: We formulate the Unruh-DeWitt (UDW) particle detector model in terms of the path integral formalism. We propose a gauge invariant detector model whose associated line defect is related to the derivative of a Wilson line.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Particle detectors are an ubiquitous tool for probing quantum fields in the context of relativistic quantum information (RQI). We formulate the Unruh-DeWitt (UDW) particle detector model in terms of the path integral formalism. The formulation is able to recover the results of the model in general globally hyperbolic spacetimes and for arbitrary detector trajectories. Integrating out the detector's degrees of freedom yields a line defect that allows one to express the transition probability in terms of Feynman diagrams. Inspired by the light-matter interaction, we propose a gauge invariant detector model whose associated line defect is related to the derivative of a Wilson line. This is another instance where nonlocal operators in gauge theories can be interpreted as physical probes for quantum fields.

Related papers

• Full Event Particle-Level Unfolding with Variable-Length Latent Variational Diffusion [44.6263403467016]
  generative machine learning models have shown promise for performing unbinned unfolding in a high number of dimensions. A novel modification to the variational latent diffusion model (VLD) approach to generative unfolding is presented. The performance of this method is evaluated in the context of semi-leptonic top quark pair production at the Large Hadron Collider.
  arXiv  Detail & Related papers  (2024-04-22T16:47:10Z)
• 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)
• Dynamic Gaussian Graph Operator: Learning parametric partial differential equations in arbitrary discrete mechanics problems [33.32926047057572]
  We propose a novel operator learning algorithm that expands neural operators to learning parametric PDEs in arbitrary discrete mechanics problems. The efficiency and robustness of DGGO are validated by applying it to solve numerical arbitrary discrete mechanics problems. The proposed method is utilized to forecast stress field of hyper-elastic material with geometrically variable void as engineering application.
  arXiv  Detail & Related papers  (2024-03-05T09:25:31Z)
• Particle detector models from path integrals of localized quantum fields [0.0]
  We show that the dynamics of any finite number of modes of the probe field is exactly that of a finite number of detectors. This approach vindicates and extends a recently proposed bridge between detector-based and field-theory-based measurement frameworks.
  arXiv  Detail & Related papers  (2023-10-24T18:00:01Z)
• A Lie Algebraic Theory of Barren Plateaus for Deep Parameterized Quantum Circuits [37.84307089310829]
  Variational quantum computing schemes train a loss function by sending an initial state through a parametrized quantum circuit. Despite their promise, the trainability of these algorithms is hindered by barren plateaus. We present a general Lie algebra that provides an exact expression for the variance of the loss function of sufficiently deep parametrized quantum circuits.
  arXiv  Detail & Related papers  (2023-09-17T18:14:10Z)
• Non-Abelian braiding of graph vertices in a superconducting processor [144.97755321680464]
  Indistinguishability of particles is a fundamental principle of quantum mechanics. braiding of non-Abelian anyons causes rotations in a space of degenerate wavefunctions. We experimentally verify the fusion rules of the anyons and braid them to realize their statistics.
  arXiv  Detail & Related papers  (2022-10-19T02:28:44Z)
• Quantized mass-energy effects in an Unruh-DeWitt detector [0.0]
  We introduce the quantization of the detector's mass-energy into the Unruh-DeWitt model. We show that internal energy changes due to emission or absorption are relevant even in the lowest energy limit. Our results imply that one cannot have a consistent model of the Unruh-DeWitt detector as a massive particle without including the mass-energy equivalence.
  arXiv  Detail & Related papers  (2022-05-05T01:58:18Z)
• Relativistic causality in particle detector models: Faster-than-light signalling and "Impossible measurements" [0.0]
  We study the relation between faster-than-light signaling and the causal factorization of the dynamics for multiple detector-field interactions. We show in what way spatially extended non-relativistic detector models predict superluminal propagation of the field's initial conditions. We discuss the validity of measurements in QFT when performed with non-relativistic particle detectors.
  arXiv  Detail & Related papers  (2021-02-05T20:18:29Z)
• 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)
• Broken covariance of particle detector models in relativistic quantum information [0.0]
  We show that the predictions of spatially smeared particle detectors coupled to quantum fields are not generally covariant outside the pointlike limit. We analyze how the breakdown of covariance affects typical detector models in quantum field theory such as the Unruh-DeWitt model.
  arXiv  Detail & Related papers  (2020-06-22T18:00:03Z)
• General Relativistic Quantum Optics: Finite-size particle detector models in curved spacetimes [0.0]
  We show how effects related to accelerated motion of the detector and the curvature of spacetime influence the way different observers assign an interaction Hamiltonian between the detector and the field. The fully covariant formulation explicitly leaves the physical predictions of the theory invariant under general coordinate transformations.
  arXiv  Detail & Related papers  (2020-01-27T19:00:08Z)

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.