938 research outputs found
Mean excitation numbers due to anti-rotating term (MENDART) in cavity QED under Lindbladian dephasing
We study the photon generation from arbitrary initial state in cavity QED due
to the combined action of the anti-rotating term present in the Rabi
Hamiltonian and Lindblad-type dephasing. We obtain a simple set of differential
equations describing this process and deduce useful formulae for the moments of
the photon number operator, demonstrating analytically that the average photon
number increases linearly with time in the asymptotic limit.Comment: 4 page
Decoherence and thermalization dynamics of a quantum oscillator
We introduce the quantitative measures characterizing the rates of
decoherence and thermalization of quantum systems. We study the time evolution
of these measures in the case of a quantum harmonic oscillator whose relaxation
is described in the framework of the standard master equation, for various
initial states (coherent, `cat', squeezed and number). We establish the
conditions under which the true decoherence measure can be approximated by the
linear entropy . We show that at low temperatures and for
highly excited initial states the decoherence process consists of three
distinct stages with quite different time scales. In particular, the `cat'
states preserve 50% of the initial coherence for a long time interval which
increases logarithmically with increase of the initial energy.Comment: 24 pages, LaTex, 8 ps figures, accepted for publication in J. Opt.
Justification of the symmetric damping model of the dynamical Casimir effect in a cavity with a semiconductor mirror
A "microscopic" justification of the "symmetric damping" model of a quantum
oscillator with time-dependent frequency and time-dependent damping is given.
This model is used to predict results of experiments on simulating the
dynamical Casimir effect in a cavity with a photo-excited semiconductor mirror.
It is shown that the most general bilinear time-dependent coupling of a
selected oscillator (field mode) to a bath of harmonic oscillators results in
two equal friction coefficients for the both quadratures, provided all the
coupling coefficients are proportional to a single arbitrary function of time
whose duration is much shorter than the periods of all oscillators. The choice
of coupling in the rotating wave approximation form leads to the "mimimum
noise" model of the quantum damped oscillator, introduced earlier in a pure
phenomenological way.Comment: 9 pages, typos corrected, corresponds to the published version,
except for the reference styl
Creation of photons in an oscillating cavity with two moving mirrors
We study the creation of photons in a one dimensional oscillating cavity with
two perfectly conducting moving walls. By means of a conformal transformation
we derive a set of generalized Moore's equations whose solution contains the
whole information of the radiation field within the cavity. For the case of
resonant oscillations we solve these equations using a renormalization group
procedure that appropriately deals with the secular behaviour present in a
naive perturbative approach. We study the time evolution of the energy density
profile and of the number of created photons inside the cavity.Comment: LaTex file, 17 pages, 3 figures, uses epsf.st
Vibrating Cavities - A numerical approach
We present a general formalism allowing for efficient numerical calculation
of the production of massless scalar particles from vacuum in a one-dimensional
dynamical cavity, i.e. the dynamical Casimir effect. By introducing a
particular parametrization for the time evolution of the field modes inside the
cavity we derive a coupled system of first-order linear differential equations.
The solutions to this system determine the number of created particles and can
be found by means of numerical methods for arbitrary motions of the walls of
the cavity. To demonstrate the method which accounts for the intermode coupling
we investigate the creation of massless scalar particles in a one-dimensional
vibrating cavity by means of three particular cavity motions. We compare the
numerical results with analytical predictions as well as a different numerical
approach.Comment: 28 pages, 19 figures, accepted for publication in J. Opt. B: Quantum
Semiclass. Op
Field quantization and squeezed states generation in resonators with time-dependent parameters
The problem of electromagnetic field quantization is usually considered in textbooks under the assumption that the field occupies some empty box. The case when a nonuniform time-dependent dielectric medium is confined in some space region with time-dependent boundaries is studied. The basis of the subsequent consideration is the system of Maxwell's equations in linear passive time-dependent dielectric and magnetic medium without sources
Quantum master equations from classical Lagrangians with two stochastic forces
We show how a large family of master equations, describing quantum Brownian
motion of a harmonic oscillator with translationally invariant damping, can be
derived within a phenomenological approach, based on the assumption that an
environment can be simulated by two classical stochastic forces. This family is
determined by three time-dependent correlation functions (besides the frequency
and damping coefficients), and it includes as special cases the known master
equations, whose dissipative part is bilinear with respect to the operators of
coordinate and momentum.Comment: 10 pages, no figure
Homodyne extimation of quantum states purity by exploiting covariant uncertainty relation
We experimentally verify uncertainty relations for mixed states in the
tomographic representation by measuring the radiation field tomograms, i.e.
homodyne distributions. Thermal states of single-mode radiation field are
discussed in details as paradigm of mixed quantum state. By considering the
connection between generalised uncertainty relations and optical tomograms is
seen that the purity of the states can be retrieved by statistical analysis of
the homodyne data. The purity parameter assumes a relevant role in quantum
information where the effective fidelities of protocols depend critically on
the purity of the information carrier states. In this contest the homodyne
detector becomes an easy to handle purity-meter for the state on-line with a
running quantum information protocol.Comment: accepted for publication into Physica Script
Purity and Gaussianity bounded uncertainty relation
Bounded uncertainty relations provide the minimum value of the uncertainty
assuming some additional information on the state. We derive analytically an
uncertainty relation bounded by a pair of constraints, those of purity and
Gaussianity. In a limiting case this uncertainty relation reproduces the
purity-bounded derived by V I Man'ko and V V Dodonov and the
Gaussianity-bounded one [Phys. Rev. A 86, 030102R (2012)].Comment: Major changes in the presentation of the results but also in the
proofs which have become more compact. Submitted to Journal of Physics
Gravitational Waveguides in Cosmology
We discuss the possibility that, besides the usual gravitational lensing,
there may exist a sort of gravitational waveguiding in cosmology which could
explain some anomalous phenomena which cannot be understood by the current
gravitational lensing models as the existence of "brothers" objects having
different brilliancy but similar spectra and redshifts posed on the sky with
large angular distance. Furthermore, such a phenomena could explain the huge
luminosities coming from quasars using the cosmological structures as
selfoc-type or planar waveguide. We describe the gravitational waveguide theory
and then we discuss possible realizations in cosmology.Comment: 14 pages, latex, submitted to Int. Jou. Mod. Phys.
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