Various Scattering Properties of a New PT-symmetric non-Hermitian potential

Abstract

We complexify a 1-d potential which exhibits bound, reflecting and free states to study various properties of a non-Hermitian system. This potential turns out a PT-symmetric non-Hermitian potential when one of the parameters becomes imaginary. For one PT-symmetric case we have entire real bound state spectrum. Explicit scattering states are constructed to show reciprocity at certain discrete values of energy even though the potential is not parity symmetric. Coexistence of deep energy minima of transmissivity with the multiple spectral singularities (MSS) is observed. We further show that this potential becomes invisible from left (or right) at certain discrete energies. The penetrating states in the other PT-symmetric configuration are always reciprocal even though it is PT-invariant and no spectral singularity (SS) is present in this case. Presence of MSS and reflectionlessness are also discussed for the free states in the later case.

17 pages, 6 figures

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Cited by in corpus (10)

• New scattering features of quaternionic point interaction in non-Hermitian quantum mechanics
• Transport properties in a Non-Hermitian triple-quantum-dot structure
• Deconfinement to Confinement as PT phase transition
• PT phase transition in a (2+1)-d relativistic system
• New scattering features in non-Hermitian space fractional quantum mechanics
• Scattering amplitudes for the rationally extended P T symmetric complex potentials
• A black potential for spin less particles
• Critical coupling and coherent perfect absorption for ranges of energies due to a complex gain and loss symmetric system
• Reciprocity in parity violating non-Hermitian systems
• Quantum phase transitions and entanglement entropy in a non-Hermitian Jaynes-Cummings model