Abstract
The Hamiltonian for a -symmetric chain of coupled oscillators is constructed. It is shown that if the loss-gain parameter is uniform for all oscillators, then as the number of oscillators increases, the region of unbroken symmetry disappears entirely. However, if is localized in the sense that it decreases for more distant oscillators, then the unbroken -symmetric region persists even as the number of oscillators approaches infinity. In the continuum limit the oscillator system is described by a -symmetric pair of wave equations, and a localized loss-gain impurity leads to a pseudobound state. It is also shown that a planar configuration of coupled oscillators can have multiple disconnected regions of unbroken symmetry.
2 More- Received 27 June 2014
DOI:https://doi.org/10.1103/PhysRevA.90.022114
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