64 research outputs found
Effect of dissipative forces on the theory of a single-atom microlaser
We describe a one-atom microlaser involving Poissonian input of atoms with a
fixed flight time through an optical resonator. The influence of the cavity
reservoir during the interactions of successive individual atoms with the
cavity field is included in the analysis. The atomic decay is also considered
as it is nonnegligible in the optical regime. During the random intervals of
absence of any atom in the cavity, the field evolves under its own dynamics. We
discuss the steady-state characteristics of the cavity field. Away from laser
threshold, the field can be nonclassical in nature.Comment: 9 pages in LaTex; 3 PS figure
Speed dependent polarization correlations in QED and entanglement
Exact computations of polarizations correlations probabilities are carried
out in QED, to the leading order, for initially polarized as well as
unpolarized particles. Quite generally they are found to be speed dependent and
are in clear violation of Bells inequality of Local Hidden Variables (LHV)
theories. This dynamical analysis shows how speed dependent entangled states
are generated. These computations, based on QED are expected to lead to new
experiments on polarization correlations monitoring speed in the light of Bells
theorem. The paper provides a full QED treatment of the dynamics of
entanglement.Comment: LaTeX, 14 pages, 2 figures, Corrected typo
Entangled States and Entropy Remnants of a Photon-Electron System
In the present paper an example of entanglement between two different kinds
of interacting particles, photons and electrons is analysed. The initial-value
problem of the Schroedinger equation is solved non-perturbatively for the
system of a free electron interacting with a quantized mode of the
electromagnetic radiation. Wave packets of the dressed states so obtained are
constructed in order to describe the spatio-temporal separation of the
subsystems before and after the interaction. The joint probability amplitudes
are calculated for the detection of the electron at some space-time location
and the detection of a definite number of photons. The analytical study of the
time evolution of entanglement between the initially separated electron wave
packet and the radiation mode leads to the conclusion that in general there are
non-vanishing entropy remnants in the subsystems after the interaction. On the
basis of the simple model to be presented here, the calculated values of the
entropy remnants crucially depend on the character of the switching-on and off
of the interaction.Comment: 12 pages, 2 figure
A discrete geometric approach for simulating the dynamics of thin viscous threads
We present a numerical model for the dynamics of thin viscous threads based
on a discrete, Lagrangian formulation of the smooth equations. The model makes
use of a condensed set of coordinates, called the centerline/spin
representation: the kinematical constraints linking the centerline's tangent to
the orientation of the material frame is used to eliminate two out of three
degrees of freedom associated with rotations. Based on a description of twist
inspired from discrete differential geometry and from variational principles,
we build a full-fledged discrete viscous thread model, which includes in
particular a discrete representation of the internal viscous stress.
Consistency of the discrete model with the classical, smooth equations is
established formally in the limit of a vanishing discretization length. The
discrete models lends itself naturally to numerical implementation. Our
numerical method is validated against reference solutions for steady coiling.
The method makes it possible to simulate the unsteady behavior of thin viscous
jets in a robust and efficient way, including the combined effects of inertia,
stretching, bending, twisting, large rotations and surface tension
Photon trains and lasing : The periodically pumped quantum dot
We propose to pump semiconductor quantum dots with surface acoustic waves
which deliver an alternating periodic sequence of electrons and holes. In
combination with a good optical cavity such regular pumping could entail
anti-bunching and sub-Poissonian photon statistics. In the bad-cavity limit a
train of equally spaced photons would arise.Comment: RevTex, 5 pages, 1 figur
Wigner's little group and Berry's phase for massless particles
The ``little group'' for massless particles (namely, the Lorentz
transformations that leave a null vector invariant) is isomorphic to
the Euclidean group E2: translations and rotations in a plane. We show how to
obtain explicitly the rotation angle of E2 as a function of and we
relate that angle to Berry's topological phase. Some particles admit both signs
of helicity, and it is then possible to define a reduced density matrix for
their polarization. However, that density matrix is physically meaningless,
because it has no transformation law under the Lorentz group, even under
ordinary rotations.Comment: 4 pages revte
Formulation, Interpretation and Application of non-Commutative Quantum Mechanics
In analogy with conventional quantum mechanics, non-commutative quantum
mechanics is formulated as a quantum system on the Hilbert space of
Hilbert-Schmidt operators acting on non-commutative configuration space. It is
argued that the standard quantum mechanical interpretation based on Positive
Operator Valued Measures, provides a sufficient framework for the consistent
interpretation of this quantum system. The implications of this formalism for
rotational and time reversal symmetry are discussed. The formalism is applied
to the free particle and harmonic oscillator in two dimensions and the physical
signatures of non commutativity are identified.Comment: 11 page
Noncommutative quantum mechanics -- a perspective on structure and spatial extent
We explore the notion of spatial extent and structure, already alluded to in
earlier literature, within the formulation of quantum mechanics on the
noncommutative plane. Introducing the notion of average position and its
measurement, we find two equivalent pictures: a constrained local description
in position containing additional degrees of freedom, and an unconstrained
nonlocal description in terms of the position without any other degrees of
freedom. Both these descriptions have a corresponding classical theory which
shows that the concept of extended, structured objects emerges quite naturally
and unavoidably there. It is explicitly demonstrated that the conserved energy
and angular momentum contain corrections to those of a point particle. We argue
that these notions also extend naturally to the quantum level. The local
description is found to be the most convenient as it manifestly displays
additional information about structure of quantum states that is more subtly
encoded in the nonlocal, unconstrained description. Subsequently we use this
picture to discuss the free particle and harmonic oscillator as examples.Comment: 25 pages, no figure
Quantum correlations and distinguishability of quantum states
A survey of various concepts in quantum information is given, with a main
emphasis on the distinguishability of quantum states and quantum correlations.
Covered topics include generalized and least square measurements, state
discrimination, quantum relative entropies, the Bures distance on the set of
quantum states, the quantum Fisher information, the quantum Chernoff bound,
bipartite entanglement, the quantum discord, and geometrical measures of
quantum correlations. The article is intended both for physicists interested
not only by collections of results but also by the mathematical methods
justifying them, and for mathematicians looking for an up-to-date introductory
course on these subjects, which are mainly developed in the physics literature.Comment: Review article, 103 pages, to appear in J. Math. Phys. 55 (special
issue: non-equilibrium statistical mechanics, 2014
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