Squeezed States from a quantum deformed oscillator Hamiltonian

REBOIRO MARTA; RAMIREZ ROMINA ANDREA

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 quantumdeformed oscillator Hamiltonian, is analysed. The proposed Hamiltonian is constructed from a nonstandardrealization of the algebra of Heisenberg. We show that, for certain values of the couplingconstants 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 similarto a Swanson hamiltonian. Also, we show that the lowest eigenstate of the system is a squeezedstate. We study the time evolution of the system, for different initial states, by computing thecorresponding Wigner functions.