Dynamical properties of a trapped two-level ion interacting with a single-mode quantized field in the nonlinear regime

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

“…In addition, in the down frames, the left frames deal with constant temperature, T = 150 • K with different β values, while the right frames deal with constant r = 1.5 with different β values. Also, to allocate a proper value to in Equation (11), we have set Q eg = 1.6×10 −29 cm, ω 0 = 3×10 15 Hz, ν = 4.2×10 6 Hz (since the frequency of the trapping potential experimentally is proven to be in the RF range [5]) and = 0.05 [15,17]. These parameters finally arrived us at = 1.8 × 10 4 Hz.…”

“…We suppose that in Equations (1)-(3), the field can be tuned in the frequency which is a little different from the first vibrational sideband. So, the interaction Hamiltonian between a trapped two-level ion with a single-mode field reads as [17]:…”

“…Inversely, the second term in (3) represents the process in which emission of a photon deexcites the atom in its lower level (|g i ) and decreases its number of vibrational mode by one. The dynamical properties of this system such as bipartite entanglement, mean phonon number, and population inversion in the linear (by Buzek et al) and nonlinear regime (by us) have been studied in [15] and [17], respectively. Due to the fact that dissipation is ever present in the real physical systems, in this paper, using the above-mentioned model, we will utilize the quantum theory of damping via the density operator approach for the dissipative trapped ion system, where the decay role is played by a general reservoir.…”

Exact analytical solution of Entanglement of Formation and Quantum Discord for Werner state and Generalized Werner-Like states

“…Ours first example, we considered the centerof-mass motion of trapped ion. In such model, both the "center-of-mass motional states" and the electronicstates can be simultaneously coupled and manipulated by light fields [45,46]. The trapped ion systems are useful to study the quantum optical and quantum dynamical properties of quantum systems that are approximately isolated from the environment, and the strong Coulomb forces between the ions can be used to realize logical gate operations by coupling different qubits.…”

“…These nonlinear coherent states exhibit some nonclassical features such as quadrature squeezing [38,39], second order squeezing [40], sub-Poissonian [38,39] and super-Poissonian statistics [41,42], antibunching effect [43], and negativity of Wigner function in parts of the phase space [40]. The f −deformed coherent states have been used: to evaluate the statistical behavior of nonlinear coherent states associated to the Morse and Pöschl-Teller Hamiltonians [41], to describe the center-of-mass motion of a trapped ion [44][45][46][47], to study quantum dot exciton states [39], the nonclassical properties of deformed photon-added nonlinear coherent states [48] and f -deformed intelligent states [49], to produce the superposition of nonlinear coherent states and entangled coherent states [50,51], to describe non-linear coherent states by photonic lattices [42], among other applications. In this work, we studied the analytical results obtained for the QD and EoF associated to bipartite Werner-Like f −deformed coherent states in the following cases: the center-of-mass motion of trapped ions with Pöschl-Teller potential, the entangled exciton states in a quantum dot, and the entangled diatomic molecules using the deformed Morse potential function.…”