Systematic pathway to symmetry breaking in scattering systems
arXiv:1407.2655 · doi:10.1103/PhysRevA.90.043809
Abstract
Recently [Phys. Rev. Lett. {\bf 106}, 093902 (2011)] it has been shown that -symmetric scattering systems with balanced gain and loss, undergo a transition from -symmetric scattering eigenstates, which are norm preserving, to symmetry broken pairs of eigenstates exhibiting net amplification and loss. In the present work we derive the existence of an invariant non-local current which can be directly associated with the observed transition playing the role of an "order parameter". The use of this current for the description of the -symmetry breaking allows the extension of the known phase diagram to higher dimensions incorporating scattering states which are not eigenstates of the scattering matrix.
5 pages, 2 figures
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Cited by in corpus (12)
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