115 research outputs found
Validity in market research Practice: `New' is not always `improved'
Market research suppliers want to provide a differentiated product or service offering to their clients. However, the frequent need to appear 'new' results in adaptation of research to different contexts. This has consequences for validity. In this paper we make the case for tempering the existing enthusiasm for constant 'innovation' in market research methodologies. In particular, we argue that unfettered adaptation can lead to the generation of invalid findings. We demonstrate some methods of how invalid results can develop. Finally we explain current concepts of 'validity' and provide an innovative way of showing the relationship between the dozen or more varieties of validity that are commonly used in the literature(s). This paper aims to remind practitioners and academics alike, that concepts of validity are important and that there is no point in having a perfectly reliable, but completely invalid, measurement tool
Wehrl information entropy and phase distributions of Schrodinger cat and cat-like states
The Wehrl information entropy and its phase density, the so-called Wehrl
phase distribution, are applied to describe Schr\"odinger cat and cat-like
(kitten) states. The advantages of the Wehrl phase distribution over the Wehrl
entropy in a description of the superposition principle are presented. The
entropic measures are compared with a conventional phase distribution from the
Husimi Q-function. Compact-form formulae for the entropic measures are found
for superpositions of well-separated states. Examples of Schr\"odinger cats
(including even, odd and Yurke-Stoler coherent states), as well as the cat-like
states generated in Kerr medium are analyzed in detail. It is shown that, in
contrast to the Wehrl entropy, the Wehrl phase distribution properly
distinguishes between different superpositions of unequally-weighted states in
respect to their number and phase-space configuration.Comment: 10 pages, 4 figure
Zeno and Anti Zeno effect for a two level system in a squeezed bath
We discuss the appearance of Zeno (QZE) or anti-Zeno (QAE) effect in an
exponentially decaying system. We consider the quantum dynamics of a
continuously monitored two level system interacting with a squeezed bath. We
find that the behavior of the system depends critically on the way in which the
squeezed bath is prepared. For specific choices of the squeezing phase the
system shows Zeno or anti-Zeno effect in conditions for which it would decay
exponentially if no measurements were done. This result allows for a clear
interpretation in terms of the equivalent spin system interacting with a
fictitious magnetic field.Comment: 18 pages, 7 figures;added references for section 4;changes in the
nomenclatur
Phase properties of a new nonlinear coherent state
We study phase properties of a displacement operator type nonlinear coherent
state. In particular we evaluate the Pegg-Barnett phase distribution and
compare it with phase distributions associated with the Husimi Q function and
the Wigner function. We also study number- phase squeezing of this state.Comment: 8 eps figures. to appear in J.Opt
Dissipation and entanglement dynamics for two interacting qubits coupled to independent reservoirs
We derive the master equation of a system of two coupled qubits by taking
into account their interaction with two independent bosonic baths. Important
features of the dynamics are brought to light, such as the structure of the
stationary state at general temperatures and the behaviour of the entanglement
at zero temperature, showing the phenomena of sudden death and sudden birth as
well as the presence of stationary entanglement for long times. The model here
presented is quite versatile and can be of interest in the study of both
Josephson junction architectures and cavity-QED.Comment: 14 pages, 3 figures, submitted to Journal of Physics A: Mathematical
and Theoretica
Polarization-squeezed light formation in a medium with electronic Kerr nonlinearity
We analyze the formation of polarization-squeezed light in a medium with
electronic Kerr nonlinearity. Quantum Stokes parameters are considered and the
spectra of their quantum fluctuations are investigated. It is established that
the frequency at which the suppression of quantum fluctuations is the greatest
can be controlled by adjusting the linear phase difference between pulses. We
shown that by varying the intensity or the nonlinear phase shift per photon for
one pulse, one can effectively control the suppression of quantum fluctuations
of the quantum Stokes parameters.Comment: final version, RevTeX, 10 pages, 5 eps figure
Using squeezed field to preserve two-atom entanglement against spontaneous emissions
Tunable interaction between two atoms in a cavity is realized by interacting
the two atoms with an extra controllable single-mode squeezed field. Such a
controllable interaction can be further used to control entanglement between
the two atoms against amplitude damping decoherence caused by spontaneous
emissions. For the independent amplitude damping decoherence channel,
entanglement will be lost completely without controls, while it can be
partially preserved by the proposed strategy. For the collective amplitude
damping decoherence channel, our strategy can enhance the entanglement compared
with the uncontrolled case when the entanglement of the uncontrolled stationary
state is not too large.Comment: 5 figure
Linear canonical transformations and quantum phase:a unified canonical and algebraic approach
The algebra of generalized linear quantum canonical transformations is
examined in the prespective of Schwinger's unitary-canonical basis. Formulation
of the quantum phase problem within the theory of quantum canonical
transformations and in particular with the generalized quantum action-angle
phase space formalism is established and it is shown that the conceptual
foundation of the quantum phase problem lies within the algebraic properties of
the quantum canonical transformations in the quantum phase space. The
representations of the Wigner function in the generalized action-angle unitary
operator pair for certain Hamiltonian systems with the dynamical symmetry are
examined. This generalized canonical formalism is applied to the quantum
harmonic oscillator to examine the properties of the unitary quantum phase
operator as well as the action-angle Wigner function.Comment: 19 pages, no figure
Vacuum Squeezing in Atomic Media via Self-Rotation
When linearly polarized light propagates through a medium in which
elliptically polarized light would undergo self-rotation, squeezed vacuum can
appear in the orthogonal polarization. A simple relationship between
self-rotation and the degree of vacuum squeezing is developed. Taking into
account absorption, we find the optimum conditions for squeezing in any medium
that can produce self-rotation. We then find analytic expressions for the
amount of vacuum squeezing produced by an atomic vapor when light is
near-resonant with a transition between various low-angular-momentum states.
Finally, we consider a gas of multi-level Rb atoms, and analyze squeezing for
light tuned near the D-lines under realistic conditions.Comment: 10 pages, 6 figures; Submitted to PR
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