Quantum and Classical Quantifiers for Atom-Nonlinear Field System under Decoherence

2013 ◽  
Vol 20 (01) ◽  
pp. 1350001 ◽  
Author(s):  
K. Berrada
Keyword(s):  
Marginal Distribution ◽  
Nonlinear Field ◽  
Wehrl Entropy ◽  
Bosonic Field ◽  
Single Qubit ◽  
Field System

The entanglement and coherence of a single qubit and deformed bosonic field inside a phase-damped cavity are discussed. In the classical q → 1 limit, analytic results under certain parametric conditions are obtained. The influence of deformation and dissipation on the negativity, Wehrl entropy, atomic Wehrl entropy and marginal distribution is studied. An interesting relation between the entanglement, deformation and decoherence effects is observed.

scholarly journals Dynamical Properties of Scaled Atomic Wehrl Entropy of Multiphoton JCM in the Presence of Atomic Damping

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
S. Abdel-Khalek ◽  
M. S. Almalki ◽  
E. Edfawy
Keyword(s):  
Marginal Distribution ◽  
Initial Conditions ◽  
Cavity Field ◽  
Wehrl Entropy ◽  
Atomic Inversion ◽  
Interaction Picture ◽  
Level Atom ◽  
Damping Parameter ◽  
Physical Quantities ◽  
Monotonic Relation

We study the dynamics of the atomic inversion, scaled atomic Wehrl entropy, and marginal atomicQ-function for a single two-level atom interacting with a one-mode cavity field taking in the presence of atomic damping. We obtain the exact solution of the master equation in the interaction picture using specific initial conditions. We examine the effects of atomic damping parameter and number of multiphoton transition on the scaled atomic Wehrl entropy, atomicQ-function, and their marginal distribution. We observe an interesting monotonic relation between the different physical quantities in the case of different values of the number of photon transition during the time evolution.

ATOMIC WEHRL ENTROPY OF A SINGLE QUBIT SYSTEM

2011 ◽  
Vol 09 (03) ◽  
pp. 967-979 ◽  
Author(s):  
S. ABDEL-KHALEK ◽  
H. F. ABDEL-HAMEED ◽  
M. ABDEL-ATY
Keyword(s):  
Hilbert Space ◽  
Density Operator ◽  
Center Of Mass ◽  
Level System ◽  
Initial State ◽  
Wehrl Entropy ◽  
Trapped Ion ◽  
Single Qubit ◽  
Qubit System ◽  
Q Function

We propose the use of atomic Wehrl entropy associated to the reduced atomic density operator as an entanglement indicator of bipartite systems. This is applied to a two-level system (one single harmonically trapped ion) by taking into account the linear center-of-mass-motional degree of freedom. Detailed analytical and explicit expressions are given, taking into account different configurations. The results show the important roles played by the laser phase and initial state setting in the evolution of the atomic Q-function, atomic Wehrl entropy and marginal atomic Q-function. Our procedure of using atomic Wehrl entropy may be applied to a system with Hilbert space of high dimension.

Archaeological Investigations at Mavis Grind, Shetland

1983 ◽  
Vol 10 (1) ◽  
pp. 13-39 ◽  
Author(s):  
Stephen Cracknell ◽  
Beverley Smith
Keyword(s):  
Iron Age ◽  
Early Iron Age ◽  
Second Phase ◽  
Field System ◽  
M 10 ◽  
Settlement Site

Summary The excavations revealed a stone house and showed that it was oval, 13 m × 10 m, with an interior about 7 m in diameter. In the first occupation phase the entrance was on the SE side. During the second phase this entrance was replaced with one to the NE and the interior was partitioned. The roof was supported on wooden posts. After the building was abandoned it was covered with peat-ash which was subsequently ploughed. There were numerous finds of steatite-tempered pottery and stone implements, which dated the site to late Bronze/early Iron Age. The second settlement, Site B, lay by the shore of the voe and consisted of two possible stone-built houses and a field system. Two trenches were dug across the structures and the results are reported in Appendix I. Although damaged in recent years it was in no further danger.

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