21,553 research outputs found
Analytical mode normalization and resonant state expansion for optical fibers - an efficient tool to model transverse disorder
We adapt the resonant state expansion to optical fibers such as capillary and
photonic crystal fibers. As a key requirement of the resonant state expansion
and any related perturbative approach, we derive the correct analytical
normalization for all modes of these fiber structures, including leaky modes
that radiate energy perpendicular to the direction of propagation and have
fields that grow with distance from the fiber core. Based on the normalized
fiber modes, an eigenvalue equation is derived that allows for calculating the
influence of small and large perturbations such as structural disorder on the
guiding properties. This is demonstrated for two test systems: a capillary
fiber and an endlessly single mode fiber.Comment: 10 pages, 4 figure
Violation of the Leggett-Garg Inequality in Neutrino Oscillations
The Leggett-Garg inequality, an analogue of Bell's inequality involving
correlations of measurements on a system at different times, stands as one of
the hallmark tests of quantum mechanics against classical predictions. The
phenomenon of neutrino oscillations should adhere to quantum-mechanical
predictions and provide an observable violation of the Leggett-Garg inequality.
We demonstrate how oscillation phenomena can be used to test for violations of
the classical bound by performing measurements on an ensemble of neutrinos at
distinct energies, as opposed to a single neutrino at distinct times. A study
of the MINOS experiment's data shows a greater than violation over
a distance of 735 km, representing the longest distance over which either the
Leggett-Garg inequality or Bell's inequality has been tested.Comment: Updated to match published version. 6 pages, 2 figure
Qubit state detection using the quantum Duffing oscillator
We introduce a detection scheme for the state of a qubit, which is based on
resonant few-photon transitions in a driven nonlinear resonator. The latter is
parametrically coupled to the qubit and is used as its detector. Close to the
fundamental resonator frequency, the nonlinear resonator shows sharp resonant
few-photon transitions. Depending on the qubit state, these few-photon
resonances are shifted to different driving frequencies. We show that this
detection scheme offers the advantage of small back action, a large
discrimination power with an enhanced read-out fidelity, and a sufficiently
large measurement efficiency. A realization of this scheme in the form of a
persistent current qubit inductively coupled to a driven SQUID detector in its
nonlinear regime is discussed.Comment: 10 pages, 6 figures. To appear in Phys. Rev.
Theory of Nonlinear Dispersive Waves and Selection of the Ground State
A theory of time dependent nonlinear dispersive equations of the Schroedinger
/ Gross-Pitaevskii and Hartree type is developed. The short, intermediate and
large time behavior is found, by deriving nonlinear Master equations (NLME),
governing the evolution of the mode powers, and by a novel multi-time scale
analysis of these equations. The scattering theory is developed and coherent
resonance phenomena and associated lifetimes are derived. Applications include
BEC large time dynamics and nonlinear optical systems. The theory reveals a
nonlinear transition phenomenon, ``selection of the ground state'', and NLME
predicts the decay of excited state, with half its energy transferred to the
ground state and half to radiation modes. Our results predict the recent
experimental observations of Mandelik et. al. in nonlinear optical waveguides
The twist-2 Compton operator and its hidden Wandzura-Wilczek and Callan-Gross relations
Power corrections for virtual Compton scattering at leading twist are
etermined at operator level. From the complete off-cone representation of the
twist-2 Compton operator integral representations for the trace, antisymmetric
and symmetric part of that operator are derived. The operator valued invariant
functions are written in terms of iterated operators and may lead to
interrelations. For matrix elements they go over into relations for generalized
parton distributions. -- Reducing to the s-channel relevant part one gets
operator pre-forms of the Wandzura-Wilczek and the (target mass corrected)
Callan-Gross relations whose structure is exactly the same as known from the
case of deep inelastic scattering; taking non-forward matrix elements one
reproduces earlier results [B. Geyer, D. Robaschik and J. Eilers, Nucl. Phys. B
704 (2005) 279] for the absorptive part of the virtual Compton amplitude. --
All these relations, obtained without any approximation or using equations of
motion, are determined solely by the twist-2 structure of the underlying
operator and, therefore, are purely of geometric origin.Comment: 13 pages, Latex 2e, Introduction shortend, Section Prerequisites
added, more obvious formulations used, some formulas rewritten as well as
added, conclusions extended, references added. Final version as appearing in
PR
Semiclassical theory of energy diffusive escape in a Duffing oscillator
Motivated by recent experimental progress to read out quantum bits
implemented in superconducting circuits via the phenomenon of dynamical
bifurcation, transitions between steady orbits in a driven anharmonic
oscillator, the Duffing oscillator, are analyzed. In the regime of weak
dissipation a consistent master equation in the semiclassical limit is derived
to capture the intimate relation between finite tunneling and reflection and
bath induced quantum fluctuations. From the corresponding steady state
distributions analytical expressions for the switching probabilities are
obtained. It is shown that a reduction of the transition rate due to finite
reflection at the phase-space barrier is overcompensated by an increase due to
environmental quantum fluctuations that are specific for diffusion processes
over dynamical barriers. Moreover, it is revealed that close to the bifurcation
threshold the escape dynamics enters an overdamped domain such that the quantum
mechanical energy scale associated with friction even exceeds the thermal
energy scale
Anomalous escape governed by thermal 1/f noise
We present an analytic study for subdiffusive escape of overdamped particles
out of a cusp-shaped parabolic potential well which are driven by thermal,
fractional Gaussian noise with a power spectrum. This
long-standing challenge becomes mathematically tractable by use of a
generalized Langevin dynamics via its corresponding non-Markovian,
time-convolutionless master equation: We find that the escape is governed
asymptotically by a power law whose exponent depends exponentially on the ratio
of barrier height and temperature. This result is in distinct contrast to a
description with a corresponding subdiffusive fractional Fokker-Planck
approach; thus providing experimentalists an amenable testbed to differentiate
between the two escape scenarios
Limitation of entanglement due to spatial qubit separation
We consider spatially separated qubits coupled to a thermal bosonic field
that causes pure dephasing. Our focus is on the entanglement of two Bell states
which for vanishing separation are known as robust and fragile entangled
states. The reduced two-qubit dynamics is solved exactly and explicitly. Our
results allow us to gain information about the robustness of two-qubit
decoherence-free subspaces with respect to physical parameters such as
temperature, qubit-bath coupling strength and spatial separation of the qubits.
Moreover, we clarify the relation between single-qubit coherence and two-qubit
entanglement and identify parameter regimes in which the terms robust and
fragile are no longer appropriate.Comment: 7 pages, 3 figures; revised version, accepted for publication in
Europhys. Let
Spintronics of a Nanoelectromechanical Shuttle
We consider effects of the spin degree of freedom on the nanomechanics of a
single-electron transistor (SET) containing a nanometer-sized metallic cluster
suspended between two magnetic leads. It is shown that in such a
nanoelectromechanical SET(NEM-SET) the onset of an electromechanical
instability leading to cluster vibrations and "shuttle" transport of electrons
between the leads can be controlled by an external magnetic field. Different
stable regimes of this spintronic NEM-SET operation are analyzed. Two different
scenarios for the onset of shuttle vibrations are found.Comment: 4 pages, 3 figure
Measurable Consequences of the Local Breakdown of the Concept of Temperature
Local temperature defined by a local canonical state of the respective
subsystem, does not always exist in quantum many body systems. Here, we give
some examples of how this breakdown of the temperature concept on small length
scales might be observed in experiments: Measurements of magnetic properties of
an anti-ferromagnetic spin-1 chain. We show that those magnetic properties are
in fact strictly local. As a consequence their measurement reveals whether the
local (reduced) state can be thermal. If it is, a temperature may be associated
to the measurement results, while this would lead to inconsistencies otherwise.Comment: some comments added, results remain unchange
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