Physical properties of a trapped two-level ion decaying by thermal and squeezed vacuum reservoirs

Abstract

In this paper, we first study the interaction between a trapped two-level ion with a field reservoir in a general form. Then, we use thermal and squeezed vacuum reservoirs to continue our investigation. We try to find the equation of motion for the whole system density operator by applying the Weisskopf theory. Next, we evaluate the explicit form of the density matrix elements analytically. In the obtained density matrix elements, we arrive at some physical parameters of the trapped ion system as well as the applied field reservoirs by which one can control the transition probabilities between the trapped ionic states. We also introduce some hermitian operators for the trapped ion system and calculate the expectation values of their time evolution by considering the mentioned two reservoirs. In the continuation, we design a system for measuring the hermitian trapped ion's operators theoretically. Finally, we find a way to transport the information of the trapped ion system by our proposed quantum processor.

Generalized Photon Added and Subtracted f‐Deformed Displaced Fock States

“…[ 57 ] The interaction between a trapped two‐level ion with a squeezed vacuum reservoir has been considered. [ 58 ] A theoretical scheme composed of a Λ‐type atom interacting with a two‐mode cavity in the presence of classical fields has been proposed to generate two classes of entangled coherent squeezed states. [ 59 ] Also, generation of the new classes of multipartite entangled coherent squeezed states in a conducting cavity has been reported.…”