1,388 research outputs found
Two-photon detuning and decoherence in cavity electromagnetically induced transparency for quantized fields
The interaction of a quantized field with three-level atoms in
configuration inside a two-mode cavity is analyzed in the small noise
approximation. The atoms are in a two-photon detuning with respect to the
carriers of the field. We calculate the stationary quadrature noise spectrum of
the field outside the cavity in the case where the input probe field is a
squeezed state and the input pump field is a coherent state. The mean value of
the field is unaltered in all the analysis: the atoms shows electromagnetically
induced transparency (EIT). The effect of the atoms' base level decoherence in
the cavity output field is also studied. It is found that the output field is
very sensitive to two-photon detuning.Comment: 8 page
Noncovariant gauge fixing in the quantum Dirac field theory of atoms and molecules
Starting from the Weyl gauge formulation of quantum electrodynamics (QED),
the formalism of quantum-mechanical gauge fixing is extended using techniques
from nonrelativistic QED. This involves expressing the redundant gauge degrees
of freedom through an arbitrary functional of the gauge-invariant transverse
degrees of freedom. Particular choices of functional can be made to yield the
Coulomb gauge and Poincar\'{e} gauge representations. The Hamiltonian we derive
therefore serves as a good starting point for the description of atoms and
molecules by means of a relativistic Dirac field. We discuss important
implications for the ontology of noncovariant canonical QED due to the gauge
freedom that remains present in our formulation.Comment: 8 pages, 0 figure
Coherent pumping of a Mott insulator: Fermi golden rule versus Rabi oscillations
Cold atoms provide a unique arena to study many-body systems far from
equilibrium. Furthermore, novel phases in cold atom systems are conveniently
investigated by dynamical probes pushing the system out of equilibrium. Here,
we discuss the pumping of doubly-occupied sites in a fermionic Mott insulator
by a periodic modulation of the hopping amplitude. We show that deep in the
insulating phase the many-body system can be mapped onto an effective two-level
system which performs coherent Rabi oscillations due to the driving. Coupling
the two-level system to the remaining degrees of freedom renders the Rabi
oscillations damped. We compare this scheme to an alternative description where
the particles are incoherently pumped into a broad continuum.Comment: 4 pages, 3 figure
State-dependent rotations of spins by weak measurements
IIt is shown that a weak measurement of a quantum system produces a new state
of the quantum system which depends on the prior state, as well as the
(uncontrollable) measured position of the pointer variable of the weak
measurement apparatus. The result imposes a constraint on hidden-variable
theories which assign a different state to a quantum system than standard
quantum mechanics. The constraint means that a crypto-nonlocal hidden-variable
theory can be ruled out in a more direct way than previously.Comment: 10 pages, 2 figures. Substantially revised to concentrate on weak
measurement transformation of states and application to crypto-nonlocal
hidden-variable theor
Storage of classical information in quantum spins
Digital magnetic recording is based on the storage of a bit of information in
the orientation of a magnetic system with two stable ground states. Here we
address two fundamental problems that arise when this is done on a quantized
spin: quantum spin tunneling and back-action of the readout process. We show
that fundamental differences exist between integer and semi-integer spins when
it comes to both, read and record classical information in a quantized spin.
Our findings imply fundamental limits to the miniaturization of magnetic bits
and are relevant to recent experiments where spin polarized scanning tunneling
microscope reads and records a classical bit in the spin orientation of a
single magnetic atom
Extension of the Huttner-Barnett model to a magnetodielectric medium
The HuttnerBarnett model is extended to a magnetodielectric medium by
adding a new matter field to this model. The eigenoperators for the coupled
system are calculated and electromagnetic field is written in terms of these
operators. The electric and magnetic susceptibility of the medium are
explicitly derived and shown to satisfy the KramersKronig relations. It is
shown that the results obtained in this model are equivalent to the results
obtained from the phenomenological methods.Comment: 25 page
Limits of sympathetic cooling of fermions by zero temperature bosons due to particle losses
It has been suggested by Timmermans [Phys. Rev. Lett. {\bf 87}, 240403
(2001)] that loss of fermions in a degenerate system causes strong heating. We
address the fundamental limit imposed by this loss on the temperature that may
be obtained by sympathetic cooling of fermions by bosons. Both a quantum
Boltzmann equation and a quantum Boltzmann \emph{master} equation are used to
study the evolution of the occupation number distribution. It is shown that, in
the thermodynamic limit, the Fermi gas cools to a minimal temperature , where
is a constant loss rate, is the
bare fermion--boson collision rate not including the reduction due to Fermi
statistics, and is the chemical potential. It
is demonstrated that, beyond the thermodynamic limit, the discrete nature of
the momentum spectrum of the system can block cooling. The unusual non-thermal
nature of the number distribution is illustrated from several points of view:
the Fermi surface is distorted, and in the region of zero momentum the number
distribution can descend to values significantly less than unity. Our model
explicitly depends on a constant evaporation rate, the value of which can
strongly affect the minimum temperature.Comment: 14 pages, 7 figures. Phys. Rev. A in pres
Control of dipolar relaxation in external fields
We study dipolar relaxation in both ultra-cold thermal and Bose-condensed
chromium atom gases. We show three different ways to control dipolar
relaxation, making use of either a static magnetic field, an oscillatory
magnetic field, or an optical lattice to reduce the dimensionality of the gas
from 3D to 2D. Although dipolar relaxation generally increases as a function of
a static magnetic field intensity, we find a range of non-zero magnetic field
intensities where dipolar relaxation is strongly reduced. We use this resonant
reduction to accurately determine the S=6 scattering length of chromium atoms:
. We compare this new measurement to another new
determination of , which we perform by analysing the precise spectroscopy
of a Feshbach resonance in d-wave collisions, yielding . These two measurements provide by far the most precise determination of
to date. We then show that, although dipolar interactions are long-range
interactions, dipolar relaxation only involves the incoming partial wave
for large enough magnetic field intensities, which has interesting consequences
on the stability of dipolar Fermi gases. We then study ultra-cold chromium
gases in a 1D optical lattice resulting in a collection of independent 2D
gases. We show that dipolar relaxation is modified when the atoms collide in
reduced dimensionality at low magnetic field intensities, and that the
corresponding dipolar relaxation rate parameter is reduced by a factor up to 7
compared to the 3D case. Finally, we study dipolar relaxation in presence of
radio-frequency (rf) oscillating magnetic fields, and we show that both the
output channel energy and the transition amplitude can be controlled by means
of rf frequency and Rabi frequency.Comment: 25 pages, 17 figure
Non-Local Quantum Gates: a Cavity-Quantum-Electro-Dynamics implementation
The problems related to the management of large quantum registers could be
handled in the context of distributed quantum computation: unitary non-local
transformations among spatially separated local processors are realized
performing local unitary transformations and exchanging classical
communication. In this paper, we propose a scheme for the implementation of
universal non-local quantum gates such as a controlled-\gate{NOT} (\cnot)
and a controlled-quantum phase gate (\gate{CQPG}). The system we have chosen
for their physical implementation is a Cavity-Quantum-Electro-Dynamics (CQED)
system formed by two spatially separated microwave cavities and two trapped
Rydberg atoms. We describe the procedures to follow for the realization of each
step necessary to perform a specific non-local operation.Comment: 12 pages, 5 figures, RevTeX; extensively revised versio
Lamb Shift of Laser-Dressed Atomic States
We discuss radiative corrections to an atomic two-level system subject to an
intense driving laser field. It is shown that the Lamb shift of the
laser-dressed states, which are the natural state basis of the combined
atom-laser system, cannot be explained in terms of the Lamb shift received by
the atomic bare states which is usually observed in spectroscopic experiments.
In the final part, we propose an experimental scheme to measure these
corrections based on the incoherent resonance fluorescence spectrum of the
driven atom.Comment: 4 pages, 1 figure, submitted for publicatio
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