Quantum fields on closed timelike curves

J. L. Pienaar, C. R. Myers, and T. C. Ralph
Phys. Rev. A 84, 062316 – Published 21 December 2011

Abstract

Recently, there has been much interest in the evolution of quantum particles on closed timelike curves (CTCs). However, such models typically assume pointlike particles with only two degrees of freedom; a very questionable assumption given the relativistic setting of the problem. We show that it is possible to generalize the Deutsch model of CTCs to fields using the equivalent circuit formalism. We give examples for coherent, squeezed, and single-photon states interacting with the CTC via a beamsplitter. The model is then generalized further to account for the smooth transition to normal quantum mechanics as the CTC becomes much smaller than the size of the modes interacting on it. In this limit, we find that the system behaves like a standard quantum-mechanical feedback loop.

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  • Received 17 October 2011

DOI:https://doi.org/10.1103/PhysRevA.84.062316

©2011 American Physical Society

Authors & Affiliations

J. L. Pienaar*, C. R. Myers, and T. C. Ralph

  • School of Mathematics and Physics, The University of Queensland, Brisbane 4072, Queensland, Australia

  • *j.pienaar@physics.uq.edu.au
  • myers@physics.uq.edu.au
  • ralph@physics.uq.edu.au

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Issue

Vol. 84, Iss. 6 — December 2011

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