2012/06/14 by Yogesh N. Joglekar, Yogesh N Joglekar, Bijan Bagchi
Physics and Astronomy · #Coupling strength #Enhanced Data Rates for GSM Evolution #Lattice (music) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Particle (ecology) #Phase (matter) #Quantum Mechanics and Non-Hermitian Physics #quant-ph
paper · pdf · doi:10.1088/1751-8113/45/40/402001
published as J. Phys. A 45, 402001 (2012) Fast Track Communication · 7 pages, 3 figures
arxiv created 2012/06/14 · openalex publication_date 2012/09/18 · arxiv updated 2012/09/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We investigate the effects of competition between two complex, PT-symmetric potentials on the PT-symmetric phase of a "particle in a box". These potentials, given by VZ(x)=iZsign(x) and Vξ(x)=iξ[δ(x-a)-δ(x+a)], represent long-range and localized gain/loss regions respectively. We obtain the PT-symmetric phase in the (Z,ξ) plane, and find that for locations ± a near the edge of the box, the PT-symmetric phase is strengthened by additional losses to the loss region. We also predict that a broken PT-symmetry will be restored by increasing the strength ξ of the localized potential. By comparing the results for this problem and its lattice counterpart, we show that a robust PT-symmetric phase in the continuum is consistent with the fragile phase on the lattice. Our results demonstrate that systems with multiple, PT-symmetric potentials show unique, unexpected properties.