85 research outputs found
Illusory Decoherence
If a quantum experiment includes random processes, then the results of
repeated measurements can appear consistent with irreversible decoherence even
if the system's evolution prior to measurement was reversible and unitary. Two
thought experiments are constructed as examples.Comment: 10 pages, 3 figure
Information-Geometric Indicators of Chaos in Gaussian Models on Statistical Manifolds of Negative Ricci Curvature
A new information-geometric approach to chaotic dynamics on curved
statistical manifolds based on Entropic Dynamics (ED) is proposed. It is shown
that the hyperbolicity of a non-maximally symmetric 6N-dimensional statistical
manifold M_{s} underlying an ED Gaussian model describing an arbitrary system
of 3N degrees of freedom leads to linear information-geometric entropy growth
and to exponential divergence of the Jacobi vector field intensity, quantum and
classical features of chaos respectively.Comment: 8 pages, final version accepted for publicatio
Comments to paper entitled "Predicting scleral GP lens entrapped tear layer oxygen tensions"
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Several small Josephson junctions in a Resonant Cavity: Deviation from the Dicke Model
We have studied quantum-mechanically a system of several small identical
Josephson junctions in a lossless single-mode cavity for different initial
states, under conditions such that the system is at resonance. This system is
analogous to a collection of identical atoms in a cavity, which is described
under appropriate conditions by the Dicke model. We find that our system can be
well approximated by a reduced Hamiltonian consisting of two levels per
junction. The reduced Hamiltonian is similar to the Dicke Hamiltonian, but
contains an additional term resembling a dipole-dipole interaction between the
junctions. This extra term arises when states outside the degenerate group are
included via degenerate second-order (L\"{o}wdin) perturbation theory. As in
the Dicke model, we find that, when N junctions are present in the cavity, the
oscillation frequency due to the junction-cavity interaction is enhanced by
. The corresponding decrease in the Rabi oscillation period may cause
it to be smaller than the decoherence time due to dissipation, making these
oscillations observable. Finally, we find that the frequency enhancement
survives even if the junctions differ slightly from one another, as expected in
a realistic system.Comment: 11 pages. To be published in Phys. Rev.
Communicating Josephson Qubits
We propose a scheme to implement a quantum information transfer protocol with
a superconducting circuit and Josephson charge qubits. The information exchange
is mediated by an L-C resonator used as a data bus. The main decoherence
sources are analyzed in detail.Comment: 4 pages, 2 figure
Solvable model of a strongly-driven micromaser
We study the dynamics of a micromaser where the pumping atoms are strongly
driven by a resonant classical field during their transit through the cavity
mode. We derive a master equation for this strongly-driven micromaser,
involving the contributions of the unitary atom-field interactions and the
dissipative effects of a thermal bath. We find analytical solutions for the
temporal evolution and the steady-state of this system by means of phase-space
techniques, providing an unusual solvable model of an open quantum system,
including pumping and decoherence. We derive closed expressions for all
relevant expectation values, describing the statistics of the cavity field and
the detected atomic levels. The transient regime shows the build-up of mixtures
of mesoscopic fields evolving towards a superpoissonian steady-state field
that, nevertheless, yields atomic correlations that exhibit stronger
nonclassical features than the conventional micromaser.Comment: 9 pages, 16 figures. Submitted for publicatio
On the lattice structure of probability spaces in quantum mechanics
Let C be the set of all possible quantum states. We study the convex subsets
of C with attention focused on the lattice theoretical structure of these
convex subsets and, as a result, find a framework capable of unifying several
aspects of quantum mechanics, including entanglement and Jaynes' Max-Ent
principle. We also encounter links with entanglement witnesses, which leads to
a new separability criteria expressed in lattice language. We also provide an
extension of a separability criteria based on convex polytopes to the infinite
dimensional case and show that it reveals interesting facets concerning the
geometrical structure of the convex subsets. It is seen that the above
mentioned framework is also capable of generalization to any statistical theory
via the so-called convex operational models' approach. In particular, we show
how to extend the geometrical structure underlying entanglement to any
statistical model, an extension which may be useful for studying correlations
in different generalizations of quantum mechanics.Comment: arXiv admin note: substantial text overlap with arXiv:1008.416
An algebraic approach to the Tavis-Cummings problem
An algebraic method is introduced for an analytical solution of the
eigenvalue problem of the Tavis-Cummings (TC) Hamiltonian, based on
polynomially deformed su(2), i.e. su_n(2), algebras. In this method the
eigenvalue problem is solved in terms of a specific perturbation theory,
developed here up to third order. Generalization to the N-atom case of the Rabi
frequency and dressed states is also provided. A remarkable enhancement of
spontaneous emission of N atoms in a resonator is found to result from
collective effects.Comment: 13 pages, 7 figure
All-optical switching and strong coupling using tunable whispering-gallery-mode microresonators
We review our recent work on tunable, ultrahigh quality factor
whispering-gallery-mode bottle microresonators and highlight their applications
in nonlinear optics and in quantum optics experiments. Our resonators combine
ultra-high quality factors of up to Q = 3.6 \times 10^8, a small mode volume,
and near-lossless fiber coupling, with a simple and customizable mode structure
enabling full tunability. We study, theoretically and experimentally, nonlinear
all-optical switching via the Kerr effect when the resonator is operated in an
add-drop configuration. This allows us to optically route a single-wavelength
cw optical signal between two fiber ports with high efficiency. Finally, we
report on progress towards strong coupling of single rubidium atoms to an
ultra-high Q mode of an actively stabilized bottle microresonator.Comment: 20 pages, 24 figures. Accepted for publication in Applied Physics B.
Changes according to referee suggestions: minor corrections to some figures
and captions, clarification of some points in the text, added references,
added new paragraph with results on atom-resonator interactio
Quantum discreteness is an illusion
I review arguments demonstrating how the concept of "particle" numbers arises
in the form of equidistant energy eigenvalues of coupled harmonic oscillators
representing free fields. Their quantum numbers (numbers of nodes of the wave
functions) can be interpreted as occupation numbers for objects with a formal
mass (defined by the field equation) and spatial wave number ("momentum")
characterizing classical field modes. A superposition of different oscillator
eigenstates, all consisting of n modes having one node, while all others have
none, defines a nondegenerate "n-particle wave function". Other discrete
properties and phenomena (such as particle positions and "events") can be
understood by means of the fast but smooth process of decoherence: the
irreversible dislocalization of superpositions. Any wave-particle dualism thus
becomes obsolete. The observation of individual outcomes of this decoherence
process in measurements requires either a subsequent collapse of the wave
function or a "branching observer" in accordance with the Schr\"odinger
equation - both possibilities applying clearly after the decoherence process.
Any probability interpretation of the wave function in terms of local elements
of reality, such as particles or other classical concepts, would open a
Pandora's box of paradoxes, as is illustrated by various misnomers that have
become popular in quantum theory.Comment: 18 pages. v2: Some text and two references added. v3: Minor changes,
one reference added. v4: 21 pages. Submitted to AmJP (not accepted). v5:
Minor changes (mainly formulations). v6: Accepted by Found.Phys. Final
version is available at http://www.springerlink.co
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