Quantum criticality in photorefractive optics: Vortices in laser beams and antiferromagnets

Mihailo Čubrović and Milan S. Petrović
Phys. Rev. A 96, 053824 – Published 9 November 2017

Abstract

We study vortex patterns in a prototype nonlinear optical system: counterpropagating laser beams in a photorefractive crystal, with or without the background photonic lattice. The vortices are effectively planar and have two “flavors” because there are two opposite directions of beam propagation. In a certain parameter range, the vortices form stable equilibrium configurations which we study using the methods of statistical field theory and generalize the Berezinsky-Kosterlitz-Thouless transition of the XY model to the “two-flavor” case. In addition to the familiar conductor and insulator phases, we also have the perfect conductor (vortex proliferation in both beams or “flavors”) and the frustrated insulator (energy costs of vortex proliferation and vortex annihilation balance each other). In the presence of disorder in the background lattice, a phase appears which shows long-range correlations and absence of long-range order, thus being analogous to glasses. An important benefit of this approach is that qualitative behavior of patterns can be known without intensive numerical work over large areas of the parameter space. The observed phases are analogous to those in magnetic systems, and make (classical) photorefractive optics a fruitful testing ground for (quantum) condensed matter systems. As an example, we map our system to a doped O(3) antiferromagnet with Z2 defects, which has the same structure of the phase diagram.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
16 More
  • Received 5 December 2016

DOI:https://doi.org/10.1103/PhysRevA.96.053824

©2017 American Physical Society

Physics Subject Headings (PhySH)

Nonlinear DynamicsCondensed Matter, Materials & Applied PhysicsAtomic, Molecular & OpticalStatistical Physics & Thermodynamics

Authors & Affiliations

Mihailo Čubrović*

  • Scientific Computing Laboratory, Institute of Physics, University of Belgrade, Pregrevica 118, 11080 Belgrade, Serbia

Milan S. Petrović

  • Institute of Physics, P.O. Box 57, 11001 Belgrade, Serbia and Texas A&M University at Qatar, P.O. Box 23874, Doha, Qatar

  • *mcubrovic@gmail.com

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 96, Iss. 5 — November 2017

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
×