Properties of linear entropy of the atom in a tripartite cavity-optomechanical system

Abstract

We investigate the dynamics of linear entropy of an atom in a tripartite cavity-optomechanical system consisting of a two-level atom in a high-finesse optical cavity with a vibrating mirror at one end. The influence of atomic coherence on the time evolution of linear entropy is examined. It is shown that a Greenberger-Horne-Zeilinger like state can be generated. Moreover, it is found that the entanglement between the atom and the subsystem of field and mirror can be controlled by atomic coherence and the parameters of optomechanical coupling coefficient and atom-field coupling strength.

Majorization effect on entropic functionals: An application to a V-type three-level atom-field interacting system

“…In particular, for a maximally entangled bipartite state [72,73], L(t) = 0.5. The quantity L(t) is known as linear entropy [44,72,73,74].…”

“…The linear entropy of tripartite two-level atom [44], three-level atom [9] and four-level atom [45] were investigated earlier. Many authors focus their attention for investigating the von-Neumann entropy [46,47] of three-level atom(s) [2,3,4,5,6,7,8,9,10,11,12,13,24,25,26,27,28,29,30,31,32,33,34,35,36].…”

Nonclassical effects in optomechanics: dynamics and collapse of entanglement

“…Note the emergence in H eff of (a) the intensity-dependent tripartite interaction between the atom, field and mirror (the terms proportional to f (N ) on the right-hand side), and (b) the Kerr nonlinearity in H eff (the last term on the right-hand side), although neither of these features is explicit in H. We start with an unentangled initial state of the system that is a direct product of the following states: (i) the field in a general superposition ∞ n=0 l n |n of photon number states |n (in contrast to [19]); (ii) the mirror in the oscillator ground state |0 ; and (iii) the atom in an arbitrary superposition (cos φ |e + sin φ |g ). Thus…”

“…The occurrence of sudden entanglement birth and death during dynamical evolution has been noted, and the effect of dissipation has been studied. The manner in which the degree of atomic coherence, the coupling strengths and system parameters can be exploited to control entanglement in the absence of dissipation has been reported in [19]. An extension of this model has been studied in [20], to examine the interaction of a V -type atom with a two-mode quantized field.…”

Distributed entangled state production by using quantum repeater protocol

“…Also, mechanical resonators are coupled to many different types of quantum two-level systems such as trapped atoms in an optical lattice [45]. Atomic systems play a key role in the interaction procedure in OMCs wherein entanglement generation of atomic systems is a good paradigm [46][47][48][49][50][51]. In [52], the authors have investigated the entanglement between two-mode fields in an optomechanical system with two movable mirrors.…”