PT phase transition in higher-dimensional quantum systems

2013/01/11 by Bhabani Prasad Mandal, Brijesh Kumar Mourya, Rajesh Kumar Yadav · 1 citation
Physics and Astronomy · Mathematics · #quant-ph #hep-th #math-ph #math.MP

paper · pdf

published as Physics Letters A 377, 1043 (2013) · 10 pages, Latex, No figs

arxiv created 2013/01/11 · arxiv updated 2013/03/18

Abstract

We consider a 2d anisotropic SHO with \bf ixy interaction and a 3d SHO in an imaginary magnetic field with μ_l. B interaction to study the PT phase transition analytically in higher dimension.Unbroken PT symmetry in the first case is complementary to the rotational symmetry of the original Hermitian system .PT phase transition ceases to occur the moment the 2d oscillator becomes isotropic.Transverse magnetic field in the other system introduces the anisotropy in the system and the system undergoes PT phase transition depending on the strength of the magnetic field and frequency of the oscillator.

Cited by

• Emergence of Hermitian topology from non-Hermitian knots