Regularised Arbitrary Gauge non-Relativistic QED

• URL: http://arxiv.org/abs/2606.08704v1
• Date: Sun, 07 Jun 2026 16:00:52 GMT
• Title: Regularised Arbitrary Gauge non-Relativistic QED
• Abstract summary: We develop a regularised arbitrary-gauge formulation of quantum electrodynamics.<n>We compare Coulomb and multipolar descriptions with a Lorentzian form factor.<n>We discuss the implications of the framework for short-range phenomena.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We develop a regularised arbitrary-gauge formulation of nonrelativistic quantum electrodynamics and use it to compare Coulomb and multipolar descriptions with a Lorentzian form factor. We analyse the effect of regularisation in perturbation theory, including alternative partitions of the Hamiltonian into free and interaction parts, and the limits of the electric dipole approximation. The regularised multipolar gauge exhibits a cut-off-dependent trade-off between the strength of individual interaction terms and the localisation of material subsystems that suppresses direct inter-atomic interactions. We discuss the implications of the framework for short-range phenomena, including Dicke criticality.

Related papers

• Self-consistent radiative backaction in dispersion interactions: a minimal mQED model [0.0]
  We study how self-consistent electromagnetic backaction modifies van der Waals excitation interactions.<n>Our analysis demonstrates that these effects originate from the coherent accumulation of repeated photon-mediated scattering processes.<n>The results highlight limitations of perturbative dispersion theories with fixed spectra and identify few-level systems as a clean platform for studying backaction in dispersion forces.
  arXiv  Detail & Related papers  (2026-05-04T07:45:38Z)
• Symmetry-protected topology and deconfined solitons in a multi-link $\mathbb{Z}_2$ gauge theory [45.88028371034407]
  We study a $mathbbZ$ lattice gauge theory defined on a multi-graph with links that can be visualized as great circles of a spherical shell.<n>We show that this leads to state-dependent tunneling amplitudes underlying a phenomenon analogous to the Peierls instability.<n>By performining a detailed analysis based on matrix product states, we prove that charge deconfinement emerges as a consequence of charge-fractionalization.
  arXiv  Detail & Related papers  (2026-03-02T22:59:25Z)
• 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)
• Quantum optical scattering by macroscopic lossy objects: A general approach [55.2480439325792]
  We develop a general approach to describe the scattering of quantum light by a lossy macroscopic object placed in vacuum.<n>We exploit the input-output relation to connect the output state of the field to the input one.<n>We analyze the impact of the classical transmission and absorption dyadics on the transitions from ingoing to outgoing s-polariton.
  arXiv  Detail & Related papers  (2024-11-27T17:44:29Z)
• Influence of disordered and anisotropic interactions on relaxation dynamics and propagation of correlations in tweezer arrays of Rydberg dipoles [0.0]
  We investigate the out-of-equilibrium dynamics of irregular one- and two-dimensional arrays of Rydberg dipoles featuring spatially anisotropic interactions. We find a regime of slow relaxation characterized by a sub-ballistic propagation of correlations that remained confined to short distances even at long times. Our findings can be relevant for a wide variety of quantum science platforms naturally featuring disordered dipolar interactions.
  arXiv  Detail & Related papers  (2024-08-14T16:13:59Z)
• Tuning long-range fermion-mediated interactions in cold-atom quantum simulators [68.8204255655161]
  Engineering long-range interactions in cold-atom quantum simulators can lead to exotic quantum many-body behavior. Here, we propose several tuning knobs, accessible in current experimental platforms, that allow to further control the range and shape of the mediated interactions.
  arXiv  Detail & Related papers  (2022-03-31T13:32:12Z)
• Ab initio quantum theory of mass defect and time dilation in trapped-ion optical clocks [0.0]
  We apply this Hamiltonian to describe the coupling of the external and internal dynamics of cold ions in Paul traps. This provides a systematic and fully quantum-mechanical treatment of relativistic frequency shifts in atomic clocks based on single trapped ions.
  arXiv  Detail & Related papers  (2022-02-22T12:32:29Z)
• Molecular Interactions Induced by a Static Electric Field in Quantum Mechanics and Quantum Electrodynamics [68.98428372162448]
  We study the interaction between two neutral atoms or molecules subject to a uniform static electric field. Our focus is to understand the interplay between leading contributions to field-induced electrostatics/polarization and dispersion interactions.
  arXiv  Detail & Related papers  (2021-03-30T14:45:30Z)
• Fluctuational Anomalous Hall and Nernst Effects in Superconductors [0.0]
  We develop kinetic theory of the anomalous Hall and Nernst effects in superconductors induced by fluctuations in the vicinity of the critical transition temperature. asymmetric skew-scattering due to spin-orbit interaction gives rise to a new anomalous Hall conductance promoted by Maki-Thompson interference and density of states fluctuational effects. The anomalous Nernst effect is found due to a special nonlinear Aslamazov-Larkin term from the quantum-crossing of interacting fluctuations in a Hikami box with the skew-scattering process.
  arXiv  Detail & Related papers  (2020-02-19T19:00:00Z)
• Quantum decoherence by Coulomb interaction [58.720142291102135]
  We present an experimental study of the Coulomb-induced decoherence of free electrons in a superposition state in a biprism electron interferometer close to a semiconducting and metallic surface. The results will enable the determination and minimization of specific decoherence channels in the design of novel quantum instruments.
  arXiv  Detail & Related papers  (2020-01-17T04:11:44Z)

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.