Squeezed State from a quantum deformed oscillator hamiltonian

ROMINA RAMIREZ; MARTA REBOIRO,

PHYSICS LETTERS A

ELSEVIER SCIENCE BV

Lugar: Amsterdam; Año: 2016 vol. 380 p. 1117 - 1124

0375-9601

The spectrum and the time evolution of a system, which is modelled by a non hermitian quantum deformed oscillator Hamiltonian, is analysed. The proposed Hamiltonian is constructed from a nonstandard realization of the algebra of Heisenberg. We show that, for certain values of the coupling constants and for a range of values of the deformation parameter, the deformed Hamiltonian ispseudo-hermitic hamiltonian. We explore the conditions under which the Hamiltonian is similar to a Swanson hamiltonian. Also, we show that the lowest eigenstate of the system is a squeezed state. We study the time evolution of the system, for different initial states, by computing the corresponding Wigner functions.