151 research outputs found
Sudden death and rebirth of Entanglement for Different Dimensional Systems driven by a Classical Random External Field
The entangled behavior of different dimensional systems driven by classical
external random field is investigated. The amount of the survival entanglement
between the components of each system is quantified. There are different
behaviors of entanglement that come into view decay, sudden death, sudden birth
and long-lived entanglement. The maximum entangled states which can be
generated from any of theses suggested systems are much fragile than the
partially entangled ones. The systems of larger dimensions are more robust than
those of smaller dimensions systems, where the entanglement decay smoothly,
gradually and may vanish for a very short time. For the class of
dimensional system, the one parameter family is found to be more robust than
the two parameters family. Although the entanglement of driven
dimensional system is very sensitive to the classical external random field,
one can use them to generate a long-lived entanglement
A treatment of the quantum partial entropies in the atom-field interaction with a class of Schrodinger cat states
This communication is an enquiry into the circumstances under which entropy
and subentropy methods can give an answer to the question of quantum
entanglement in the composite state. Using a general quantum dynamical system
we obtain the analytical solution when the atom initially starts from its
excited state and the field in different initial states. Different features of
the entanglement are investigated when the field is initially assumed to be in
a coherent state, an even coherent state (Schrodinger cate state) and a
statistical mixture of coherent states. Our results show that the setting of
the initial state and the Stark shift play important role in the evolution of
the sub-entropies and entanglement.Comment: 12 pages, 3 figures, Accepted for publication in International
Journal of Quantum Information Jan. (2005
Multi-Qubit Dynamical Quantum Search Algorithm with Dissipation
We invoke an efficient search algorithms as a key challenge in multi-qubit
quantum systems. An original algorithm called dynamical quantum search
algorithm from which Grover algorithm is obtained at a specified time is
presented. This algorithm is distinguished by accuracy in obtaining high
probability of finding any marked state in a shorter time than Grover algorithm
time. The algorithm performance can be improved with respect to the different
values of the controlled phase. A new technique is used to generate the
dynamical quantum gates in the presence of dissipation effect that helps in
implementing the current algorithm.Comment: 19 pages, 7 figure
Entanglement manipulation for mixed states in a multilevel atom interacting with a cavity field
We derive an explicit formula for an entanglement measure of mixed quantum
states in a multi-level atom interacting with a cavity field within the
framework of the quantum mutual entropy. We describe its theoretical basis and
discuss its practical relevance (especially in comparison with already known
pure state results). The effect of the number of levels involved on the
entanglement is demonstrated via examples of three-, four- and five-level atom.
Numerical calculations under current experimental conditions are performed and
it is found that the number of levels present changes the general features of
entanglement dramatically.Comment: 10 pages, 3 figure
Wigner function of noisy accelerated two-qubit system
In this manuscript, the behavior of the Wigner function of accelerated and
non-accelerated two qubit system passing through different noisy channels is
discussed. The decoherence of the initial quantum correlation due to the noisy
channels and the acceleration process is investigated by means of Wigner
function. The negative (positive) behavior of the Wigner function predicts the
gain of the quantum (classical) correlations. Based on the upper and lower
bounds of the Wigner function, the entangled initial state loses its quantum
correlation due the acceleration process and the strengths of the noisy
channels. However, by controlling the distribution angles, the decoherence of
these quantum correlation may be suppressed. For accelerated state, the
robustness of the quantum correlations contained in the initial state appears
in different ranges of the distribution angles depending on the noisy type. For
the bit phase flip and the phase flip channels, the robustness of the quantum
correlations is shown at any acceleration and large range of distribution
angles. However, the fragility of the quantum correlation is depicted for large
values for strength of the bit flip channel. Different profiles of the Wigner
function are exhibited for the quantum and classical correlations, cup, lune,
hemisphere
Wigner function of accelerated and non-accelerated Greenberger Horne Zeilinger State
The Wigner function's behavior of accelerated and non-accelerated Greenberger
Horne Zeilinger (GHZ) state is discussed. For the non-accelerated GHZ state,
the minimum/maximum peaks of the Wigner function depends on the distribution's
angles, where they are displayed regularly at fixed values of the
distribution's angles. We show that, for the accelerated GHZ state, the minimum
bounds increases as the acceleration increases. The increasing rate depends on
the number of accelerated qubits. Due to the positivity/ negativity behavior of
the Wigner function, one can use it as an indicators of the presences of the
classical/quantum correlations, respectively. The maximum bounds of the quantum
and the classical correlations depend on the purity of the initial GHZ state.
The classical correlation that depicted by the behavior of Wigner function
independent of the acceleration, but depends on the degree of its purity
Effect of an External Magnetic Field on Some Statistical Properties of the 2+1 Dirac-Moshinsky Oscillator
The 2+1 Dirac-Moshinsky oscillator ( 2+1 DMO ) is mapped into the generalized
Jaynes-Cummings model (GJCM), in which an external magnetic field is coupled to
an external isospin field. The basic equations of model are analytically
solved, where the coherent state is considered as an initial state. The
obtained results show that the strength of the magnetic field and the coupling
parameter of the isospin field play important roles on some statistical
properties such as entanglement, population inversion and degree of coherence.
It has been shown that these parameters play a rule to increase entanglement
and show the collapses and revivals phenomenon.Comment: 21 pages, 8 figures. arXiv admin note: text overlap with
arXiv:1812.0026
Wigner distribution function of atomic system interacts locally with a deformed cavity
Wigner distribution function of atomic system interacts locally with a
deformed cavity is discussed. It is shown that, the deformed cavity has a
destructive effect on the Wigner distribution function, where it decreases as
one increases the deformation strength. The upper and lower bounds of the
Wigner distribution function depends on the initial state settings of atomic
system (entangled/product), the initial values of the dipole-dipole
interaction's and detuning parameters, and the external distribution weight and
the phase angles. The possibility of suppressing the decay induced by the
deformed cavity may be increased by increasing the dipole's strength or the
detuning parameter. We show that the distribution angles may be considered as a
control external parameters, that maximize/ minimize the Wigner distribution
function. This means that by controlling on the distribution angles, one can
increase the possibility of suppressing the decoherence induced by the deformed
cavity
Generation of maximally entangled states of two cavity modes
In this letter we present a scheme for generating maximally entangled states
of two cavity modes which enables us to generate complete set of Bell basis
states having rather simple initial state preparation. Furthermore, we study
the interaction of a two-level atom with two modes of electromagnetic field in
a high Q cavity. The two-level atom acts as a control qubit and the two mode
electromagnetic field serves as a target qubit. This simple system of quantum
electrodynamics provides us experimentally feasible universal quantum logic
gates.Comment: 10 page
Aspects of a Two-Level Atom in Squeezed Displaced Fock States
This paper presents some results on some aspects of the two-level atom interacting with a single-mode with the privileged field mode being in the squeezed displaced Fock state (SDFS). The exact results are employed to perform a careful investigation of the temporal evolution of the atomic inversion, entropy and phase distribution. It is shown that the interference between component states leads to non-classical oscillations in the photon number distribution. At mid revival time the field is almost in the pure state. We have briefly discussed the evolution of the Q function of the cavity field. The connection between the field entropy and the collapses and revivals of the atomic inversion has been established. We find that the phase probability distribution of the field reflect the collapses and revivals of the level occupation probabilities in most situations. The interaction brings about the symmetrical splitting of the phase probability distribution. The general conclusions reached are illustrated by numerical results
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