1,293 research outputs found
An AB effect without closing a loop
We discuss the consequences of the Aharonov-Bohm effect in setups involving
several charged particles, wherein none of the charged particles encloses a
closed loop around the magnetic flux. We show that in such setups, the AB phase
is encoded either in the relative phase of a bi-partite or multi-partite
entangled photons states, or alternatively, gives rise to an overall AB phase
that can be measured relative to another reference system. These setups involve
processes of annihilation or creation of electron/hole pairs. We discuss the
relevance of such effects in "vacuum Birefringence" in QED, and comment on
their connection to other known effects.Comment: 4 pages, 3 figure
Elastic Stars in General Relativity: II. Radial perturbations
We study radial perturbations of general relativistic stars with elastic
matter sources. We find that these perturbations are governed by a second order
differential equation which, along with the boundary conditions, defines a
Sturm-Liouville type problem that determines the eigenfrequencies. Although
some complications arise compared to the perfect fluid case, leading us to
consider a generalisation of the standard form of the Sturm-Liouville equation,
the main results of Sturm-Liouville theory remain unaltered. As an important
consequence we conclude that the mass-radius curve for a one-parameter sequence
of regular equilibrium models belonging to some particular equation of state
can be used in the same well-known way as in the perfect fluid case, at least
if the energy density and the tangential pressure of the background solutions
are continuous. In particular we find that the fundamental mode frequency has a
zero for the maximum mass stars of the models with solid crusts considered in
Paper I of this series.Comment: 22 pages, no figures, final version accepted for publication in
Class. Quantum Grav. The treatment of the junction conditions has been
improve
Clauser-Horne inequality and decoherence in mesoscopic conductors
We analyze the effect of decoherence on the violation of the Clauser-Horne
(CH) inequality for the full electron counting statistics in a mesoscopic
multiterminal conductor. Our setup consists of an entangler that emits a flux
of entangled electrons into two conductors characterized by a scattering matrix
and subject to decoherence. Loss of phase memory is modeled phenomenologically
by introducing fictitious extra leads. The outgoing electrons are detected
using spin-sensitive electron counters. Given a certain average number of
incoming entangled electrons, the CH inequality is evaluated as a function of
the numbers of detected particles and on the various quantities characterizing
the scattering matrix. When decoherence is turned on, we show that the amount
of violation of the CH inequality is effectively reduced. Interestingly we find
that, by adjusting the parameters of the system, there exists a protected
region of values for which violation holds for arbitrary strong
decoherence.Comment: 14 pages, 10 figures. Published versio
Entanglement in Mesoscopic Structures: Role of Projection
We present a theoretical analysis of the appearance of entanglement in
non-interacting mesoscopic structures. Our setup involves two oppositely
polarized sources injecting electrons of opposite spin into the two incoming
leads. The mixing of these polarized streams in an ideal four-channel beam
splitter produces two outgoing streams with particular tunable correlations. A
Bell inequality test involving cross-correlated spin-currents in opposite leads
signals the presence of spin-entanglement between particles propagating in
different leads. We identify the role of fermionic statistics and projective
measurement in the generation of these spin-entangled electrons.Comment: 5 pages, 1 figur
Energy dependent counting statistics in diffusive superconducting tunnel junctions
We present an investigation of the energy dependence of the full charge
counting statistics in diffusive
normal-insulating-normal-insulating-superconducting junctions. It is found that
the current in general is transported via a correlated transfer of pairs of
electrons. Only in the case of strongly asymmetric tunnel barriers or energies
much larger than the Thouless energy is the pair transfer uncorrelated. The
second cumulant, the noise, is found to depend strongly on the applied voltage
and temperature. For a junction resistance dominated by the tunnel barrier to
the normal reservoir, the differential shot noise shows a double peak feature
at voltages of the order of the Thouless energy, a signature of an ensemble
averaged electron-hole resonance.Comment: 8 pages, 5 figure
Current-voltage correlations in interferometers
We investigate correlations of current at contacts and voltage fluctuations
at voltage probes coupled to interferometers. The results are compared with
correlations of current and occupation number fluctuations at dephasing probes.
We use a quantum Langevin approach for the average quantities and their
fluctuations. For higher order correlations we develop a stochastic path
integral approach and find the generating functions of voltage or occupation
number fluctuations. We also derive a generating function for the joint
distribution of voltage or occupation number at the probe and current
fluctuations at a terminal of a conductor. For energy independent scattering we
found earlier that the generating function of current cumulants in
interferometers with a one-channel dephasing or voltage probe are identical.
Nevertheless, the distribution function for voltage and the distribution
function for occupation number fluctuations differ, the latter being broader
than that of former in all examples considered here.Comment: 23 pages, 10 figures, minor changes, additional appendix, added
reference
Effects of decoherence and errors on Bell-inequality violation
We study optimal conditions for violation of the Clauser-Horne-Shimony-Holt
form of the Bell inequality in the presence of decoherence and measurement
errors. We obtain all detector configurations providing the maximal Bell
inequality violation for a general (pure or mixed) state. We consider local
decoherence which includes energy relaxation at the zero temperature and
arbitrary dephasing. Conditions for the maximal Bell-inequality violation in
the presence of decoherence are analyzed both analytically and numerically for
the general case and for a number of important special cases. Combined effects
of measurement errors and decoherence are also discussed.Comment: 18 pages, 5 figure
Charge and Spin Effects in Mesoscopic Josephson Junctions
We consider the charge and spin effects in low dimensional superconducting
weak links. The first part of the review deals with the effects of
electron-electron interaction in Superconductor/Luttinger liquid/Superconductor
junctions. The experimental realization of this mesoscopic hybrid system can be
the individual single wall carbon nanotube that bridges the gap between two
bulk superconductors. The dc Josephson current through a Luttinger liquid in
the limits of perfectly and poorly transmitting junctions is evaluated. The
relationship between the Josephson effect in a long SNS junction and the
Casimir effect is discussed. In the second part of the paper we review the
recent results concerning the influence of the Zeeman and Rashba interactions
on the thermodynamical properties of ballistic S/QW/S junction fabricated in
two dimensional electron gas. It is shown that in magnetically controlled
junction there are conditions for resonant Cooper pair transition which results
in giant supercurrent through a tunnel junction and a giant magnetic response
of a multichannel SNS junction. The supercurrent induced by the joint action of
the Zeeman and Rashba interactions in 1D quantum wires connected to bulk
superconductors is predicted.Comment: 36 pages, 8 figures; minor changes in reference
Partitioning of on-demand electron pairs
We demonstrate the high fidelity splitting of electron pairs emitted on
demand from a dynamic quantum dot by an electronic beam splitter. The fidelity
of pair splitting is inferred from the coincidence of arrival in two detector
paths probed by a measurement of the partitioning noise. The emission
characteristic of the on-demand electron source is tunable from electrons being
partitioned equally and independently to electron pairs being split with a
fidelity of 90%. For low beam splitter transmittance we further find evidence
of pair bunching violating statistical expectations for independent fermions
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