6,135 research outputs found
Parametric Competition in non-autonomous Hamiltonian Systems
In this work we use the formalism of chord functions (\emph{i.e.}
characteristic functions) to analytically solve quadratic non-autonomous
Hamiltonians coupled to a reservoir composed by an infinity set of oscillators,
with Gaussian initial state. We analytically obtain a solution for the
characteristic function under dissipation, and therefore for the determinant of
the covariance matrix and the von Neumann entropy, where the latter is the
physical quantity of interest. We study in details two examples that are known
to show dynamical squeezing and instability effects: the inverted harmonic
oscillator and an oscillator with time dependent frequency. We show that it
will appear in both cases a clear competition between instability and
dissipation. If the dissipation is small when compared to the instability, the
squeezing generation is dominant and one can see an increasing in the von
Neumann entropy. When the dissipation is large enough, the dynamical squeezing
generation in one of the quadratures is retained, thence the growth in the von
Neumann entropy is contained
Atomic Focusing by Quantum Fields: Entanglement Properties
The coherent manipulation of the atomic matter waves is of great interest
both in science and technology. In order to study how an atom optic device
alters the coherence of an atomic beam, we consider the quantum lens proposed
by Averbukh et al [1] to show the discrete nature of the electromagnetic field.
We extend the analysis of this quantum lens to the study of another essentially
quantum property present in the focusing process, i.e., the atom-field
entanglement, and show how the initial atomic coherence and purity are affected
by the entanglement. The dynamics of this process is obtained in closed form.
We calculate the beam quality factor and the trace of the square of the reduced
density matrix as a function of the average photon number in order to analyze
the coherence and purity of the atomic beam during the focusing process.Comment: 10 pages, 4 figure
Quantum erasure in the presence of a thermal bath: the effects of system-environment microscopic correlations
We investigate the role of the environment in a quantum erasure setup in the
cavity quantum electrodynamics domain. Two slightly different schemes are
analyzed. We show that the effects of the environment vary when a scheme is
exchanged for another. This can be used to estimate the macroscopic parameters
related to the system-environment microscopic correlations.Comment: 10 pages, 2 figure
Atomic detection in microwave cavity experiments: a dynamical model
We construct a model for the detection of one atom maser in the context of
cavity Quantum Electrodynamics (QED) used to study coherence properties of
superpositions of electromagnetic modes. Analytic expressions for the atomic
ionization are obtained, considering the imperfections of the measurement
process due to the probabilistic nature of the interactions between the
ionization field and the atoms. Limited efficiency and false counting rates are
considered in a dynamical context, and consequent results on the information
about the state of the cavity modes are obtained.Comment: 12 pages, 1 figur
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