61,391 research outputs found
Reply on `comment on our paper `Single two-level ion in an anharmonic-oscillator trap: Time evolution of the Q function and population inversion ''
We show here that the model Hamiltonian used in our paper for ion vibrating
in a q-analog harmonic oscillator trap and interacting with a classical
single-mode light field is indeed obtained by replacing the usual bosonic
creation and annihilation operators of the harmonic trap model by their
q-deformed counterparts. The approximations made in our paper amount to using
for the ion-laser interaction in a q-analog harmonic oscillator trap, the
operator F_{q}=exp{-(|\epsilon|^2}/2)}exp{i\epsilon A^{\dagger}}exp{i\epsilon
A}, which is analogous to the corresponding operator for ion in a harmonic
oscillator trap that is . In our article we do not claim to have diagonalized the
operator, , for which the basis states
|g,m> and |e,m> are not analytic vectors.Comment: Revtex, 4pages. To be Published in Physical Review A59, NO.4(April
99
Schr\"{o}dinger cat state of trapped ions in harmonic and anharmonic oscillator traps
We examine the time evolution of a two level ion interacting with a light
field in harmonic oscillator trap and in a trap with anharmonicities. The
anharmonicities of the trap are quantified in terms of the deformation
parameter characterizing the q-analog of the harmonic oscillator trap.
Initially the ion is prepared in a Schr\"{o}dinger cat state. The entanglement
of the center of mass motional states and the internal degrees of freedom of
the ion results in characteristic collapse and revival pattern. We calculate
numerically the population inversion I(t), quasi-probabilities and
partial mutual quantum entropy S(P), for the system as a function of time.
Interestingly, small deformations of the trap enhance the contrast between
population inversion collapse and revival peaks as compared to the zero
deformation case. For \beta =3 and determines the average number
of trap quanta linked to center of mass motion) the best collapse and revival
sequence is obtained for \tau =0.0047 and \tau =0.004 respectively. For large
values of \tau decoherence sets in accompanied by loss of amplitude of
population inversion and for \tau \sim 0.1 the collapse and revival phenomenon
disappear. Each collapse or revival of population inversion is characterized by
a peak in S(P) versus t plot. During the transition from collapse to revival
and vice-versa we have minimum mutual entropy value that is S(P)=0. Successive
revival peaks show a lowering of the local maximum point indicating a
dissipative irreversible change in the ionic state. Improved definition of
collapse and revival pattern as the anharminicity of the trapping potential
increases is also reflected in the Quasi- probability versus t plots.Comment: Revised version, 16 pages,6 figures. Revte
Radiative and Seesaw Threshold Corrections to the Symmetric Neutrino Mass Matrix
We systematically analyze the radiative corrections to the symmetric
neutrino mass matrix at high energy scale, say the GUT scale, in the charged
lepton basis. There are significant corrections to the neutrino parameters both
in the Standard Model (SM) and Minimal Supersymmetric Standard Model (MSSM)
with large tan, when the renormalization group evolution (RGE) and
seesaw threshold effects are taken into consideration. We find that in the SM
all three mixing angles and atmospheric mass squared difference are
simultaneously obtained in their current 3 ranges at the electroweak
scale. However, the solar mass squared difference is found to be larger than
its allowed 3 range at the low scale in this case. There are
significant contributions to neutrino masses and mixing angles in the MSSM with
large tan from the RGEs even in the absence of seesaw threshold
corrections. However, we find that the mass squared differences and the mixing
angles are obtained in their current 3 ranges at low energy when the
seesaw threshold effects are also taken into account in the MSSM with large
tan.Comment: 20 Pages, 2 Figures and 2 Table
Low temperature hopping magnetotransport in paramagnetic single crystals of cobalt doped ZnO
Long needle-shaped single crystals of Zn1-xCoxO were grown at low
temperatures using a molten salt solvent technique, up to x=0.10. The
conduction process at low temperatures is determined to be by Mott variable
range hopping. Both pristine and cobalt doped crystals clearly exhibit a
crossover from negative to positive magnetoresistance as the temperature is
decreased. The positive magnetoresistance of the Zn1-xCoxO single crystals
increases with increased Co concentration and reaches up to 20% at low
temperatures (2.5 K) and high fields (>1 T). SQUID magnetometry confirms that
the Zn1-xCoxO crystals are predominantly paramagnetic in nature and the
magnetic response is independent of Co concentration. The results indicate that
cobalt doping of single crystalline ZnO introduces localized electronic states
and isolated Co2+ ions into the host matrix, but that the magnetotransport and
magnetic properties are decoupled.Comment: 7 pages, 9 figures, submitted to Physical Review
Anisotropic generalization of well-known solutions describing relativistic self-gravitating fluid systems: An algorithm
We present an algorithm to generalize a plethora of well-known solutions to
Einstein field equations describing spherically symmetric relativistic fluid
spheres by relaxing the pressure isotropy condition on the system. By suitably
fixing the model parameters in our formulation, we generate closed-form
solutions which may be treated as anisotropic generalization of a large class
of solutions describing isotropic fluid spheres. From the resultant solutions,
a particular solution is taken up to show its physical acceptability. Making
use of the current estimate of mass and radius of a known pulsar, the effects
of anisotropic stress on the gross physical behaviour of a relativistic compact
star is also highlighted.Comment: To appear in Eur. Phys. J.
A procedure used for a ground truth study of a land use map of North Alabama generated from LANDSAT data
A land use map of a five county area in North Alabama was generated from LANDSAT data using a supervised classification algorithm. There was good overall agreement between the land use designated and known conditions, but there were also obvious discrepancies. In ground checking the map, two types of errors were encountered - shift and misclassification - and a method was developed to eliminate or greatly reduce the errors. Randomly selected study areas containing 2,525 pixels were analyzed. Overall, 76.3 percent of the pixels were correctly classified. A contingency coefficient of correlation was calculated to be 0.7 which is significant at the alpha = 0.01 level. The land use maps generated by computers from LANDSAT data are useful for overall land use by regional agencies. However, care must be used when making detailed analysis of small areas. The procedure used for conducting the ground truth study together with data from representative study areas is presented
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