Hamiltonian formulation of the standard PT-symmetric nonlinear Schrödinger dimer

I. V. Barashenkov
Phys. Rev. A 90, 045802 – Published 14 October 2014

Abstract

The standard PT-symmetric dimer is a linearly coupled two-site discrete nonlinear Schrödinger equation with one site losing and the other one gaining energy at the same rate. We show that despite gain and loss, the standard PT dimer is a Hamiltonian system. We also produce a Lagrangian formulation for the dimer.

  • Received 30 July 2014

DOI:https://doi.org/10.1103/PhysRevA.90.045802

©2014 American Physical Society

Authors & Affiliations

I. V. Barashenkov

  • Centre for Theoretical and Mathematical Physics, University of Cape Town, Rondebosch 7701, South Africa and Joint Institute for Nuclear Research, Dubna 141980, Russia

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 90, Iss. 4 — October 2014

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
×