Quantum transitions and nonlocality

T. Petrosky, G. Ordonez, and I. Prigogine
Phys. Rev. A 62, 042106 – Published 15 September 2000
PDFExport Citation

Abstract

As shown by Hegerfeldt, positivity of energy in quantum mechanics leads to nonlocal effects, where a state that is initially localized immediately develops infinite tails. In a previous paper we have described the mechanism of such effects for relativistic free fields. In this paper we discuss the nonlocal effects for a more complex system that consists of a two-level atom interacting with a radiation field. We study the dressing process of the bare ground state in terms of the photon density. In this process there appears a nonlocal cloud that remains around the atom and “Zeno” photons that move away from the atom with the speed of light. Nonlocality is seen to be to due to a “curtain” effect where the cloud is initially covered by the Zeno photons, and immediately afterwards is uncovered as the photons move away from the atom. No superluminal speeds are involved. We also consider nonlocal effects associated with a partially dressed state where the atom is excited starting from the true ground state. The excitation of the atom produces a nonlocal rearrangement of the photon cloud, which leads to precursors to the usual retarded field.

  • Received 15 February 2000

DOI:https://doi.org/10.1103/PhysRevA.62.042106

©2000 American Physical Society

Authors & Affiliations

T. Petrosky1,2, G. Ordonez1, and I. Prigogine1,2

  • 1Center for Studies in Statistical Mechanics and Complex Systems, The University of Texas at Austin, Austin, Texas 78712
  • 2International Solvay Institutes for Physics and Chemistry, Case Postale 231, 1050 Brussels, Belgium

References (Subscription Required)

Click to Expand
Issue

Vol. 62, Iss. 4 — October 2000

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×