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RESEARCH PRODUCT

From pseudo-bosons to pseudo-Hermiticity via multiple generalized Bogoliubov transformations

Andreas FringFabio Bagarello

subject

Pseudo-bosonSwanson modelFOS: Physical sciencesModel parametersPT-symmetry01 natural sciences0103 physical sciences010306 general physicsSettore MAT/07 - Fisica MatematicaMathematical PhysicsQCBosonMathematical physicsPhysicsCondensed Matter::Quantum GasesQuantum Physics010308 nuclear & particles physicsStatistical and Nonlinear PhysicsMathematical Physics (math-ph)Condensed Matter PhysicsHermitian matrixFormalism (philosophy of mathematics)Bogoliubov transformationpseudo-HermiticityQuantum Physics (quant-ph)Statistical and Nonlinear Physic

description

We consider the special type of pseudo-bosonic systems that can be mapped to standard bosons by means of generalized Bogoliubov transformation and demonstrate that a pseudo-Hermitian systems can be obtained from them by means of a second subsequent Bogoliubov transformation. We employ these operators in a simple model and study three different types of scenarios for the constraints on the model parameters giving rise to a Hermitian system, a pseudo-Hermitian system in which the second the Bogoliubov transformations is equivalent to the associated Dyson map and one in which we obtain D-quasi bases.

yearjournalcountryeditionlanguage
2016-05-29
10.1142/s0217979217500850http://hdl.handle.net/10447/222451