293 research outputs found
All-optical versus electro-optical quantum-limited feedback
All-optical feedback can be effected by putting the output of a source cavity
through a Faraday isolator and into a second cavity which is coupled to the
source cavity by a nonlinear crystal. If the driven cavity is heavily damped,
then it can be adiabatically eliminated and a master equation or quantum
Langevin equation derived for the first cavity alone. This is done for an input
bath in an arbitrary state, and for an arbitrary nonlinear coupling. If the
intercavity coupling involves only the intensity (or one quadrature) of the
driven cavity, then the effect on the source cavity is identical to that which
can be obtained from electro-optical feedback using direct (or homodyne)
detection. If the coupling involves both quadratures, this equivalence no
longer holds, and a coupling linear in the source amplitude can produce a
nonclassical state in the source cavity. The analogous electro-optic scheme
using heterodyne detection introduces extra noise which prevents the production
of nonclassical light. Unlike the electro-optic case, the all-optical feedback
loop has an output beam (reflected from the second cavity). We show that this
may be squeezed, even if the source cavity remains in a classical state.Comment: 21 pages. This is an old (1994) paper, but one which I thought was
worth posting because in addition to what is described in abstract it has:
(1) the first formulation (to my knowledge) of quantum trajectories for an
arbitrary (i.e. squeezed, thermal etc.) broadband bath; (2) the prediction of
a periodic modification to the detuning and damping of an oscillator for the
simplest sort of all-optical feedback (i.e. a mirror) as seen in the recent
experiment "Forces between a Single Atom and Its Distant Mirror Image", P.
Bushev et al, Phys. Rev. Lett. 92, 223602 (2004
Black-Scholes option pricing within Ito and Stratonovich conventions
Options financial instruments designed to protect investors from the stock
market randomness. In 1973, Fisher Black, Myron Scholes and Robert Merton
proposed a very popular option pricing method using stochastic differential
equations within the Ito interpretation. Herein, we derive the Black-Scholes
equation for the option price using the Stratonovich calculus along with a
comprehensive review, aimed to physicists, of the classical option pricing
method based on the Ito calculus. We show, as can be expected, that the
Black-Scholes equation is independent of the interpretation chosen. We
nonetheless point out the many subtleties underlying Black-Scholes option
pricing method.Comment: 14 page
Shear and Mixing in Oscillatory Doubly Diffusive Convection
To investigate the mechanism of mixing in oscillatory doubly diffusive (ODD)
convection, we truncate the horizontal modal expansion of the Boussinesq
equations to obtain a simplified model of the process. In the astrophysically
interesting case with low Prandtl number, large-scale shears are generated as
in ordinary thermal convection. The interplay between the shear and the
oscillatory convection produces intermittent overturning of the fluid with
significant mixing. By contrast, in the parameter regime appropriate to sea
water, large-scale flows are not generated by the convection. However, if such
flows are imposed externally, intermittent overturning with enhanced mixing is
observed.Comment: 24 pages, 16 figures, Accepted for publication in Geophysical and
Astrophysical Fluid Dynamic
Squeezing via feedback
We present the quantum theory of optical cavity feedback mediated by homodyne detection, with an arbitrary time delay. We apply this theory to a system with nonclassical dynamics, a sub-Poissonian pumped laser. By using the feedback to phase lock the laser it is possible to produce output light which exhibits perfect quadrature squeezing on resonance, rather than just sub-Poissonian intensity statistics. However, we also show that feedback mediated by homodyne detection (or any other extracavity measurement) cannot produce nonclassical light unless the cavity dynamics can do so without feedback. Furthermore, in systems which already exhibit squeezing, such feedback can only degrade the squeezing in the output. With feedback mediated by an intracavity measurement, these theorems do not apply. We show that an (admittedly unrealistic) intracavity quantum nondemolition quadrature measurement allows arbitrary squeezing to be produced by controlling the amplitude of a coherent driving field
Conservative management of mallet injuries:A national survey of current practice in the UK
Introduction
Mallet injuries are common, and usually treated conservatively. Various systematic reviews have found a lack of evidence regarding best management and it is unclear whether this uncertainty is reflected in current UK practice.
Methods
An online survey was developed to determine current practice for the conservative treatment of mallet injury amongst specialist hand clinicians in the UK, including physiotherapists, occupational therapists and surgeons. Clinician’s views of study outcome selection were also explored to improve future trials.
Results
336 professionals completed the survey. Inconsistency in overall practice was observed in splint type choice, time to discharge to GP, and the assessment of adherence. Greater consistency was observed for recommended duration of continuous immobilisation. Bony injuries were most commonly splinted for six weeks (n=228, 78%) and soft tissue injuries for either eight weeks (n=172, 56%) or six weeks (n=119, 39%). Postimmobilisation splinting was frequently recommended, but duration varied between two and 10 weeks. The outcome rated as most important by all clinicians was patient satisfaction.
Discussion
There is overall variation in the current UK conservative management of mallet injuries, and the development of a standardised, evidence based protocol is required. Clinicians’ opinions may be used to develop a core set of outcome measures, which will improve standardisation and comparability of future trials.</p
Approach to the semiconductor cavity QED in high-Q regimes with q-deformed boson
The high density Frenkel exciton which interacts with a single mode
microcavity field is dealed with in the framework of the q-deformed boson. It
is shown that the q-defomation of bosonic commutation relations is satisfied
naturally by the exciton operators when the low density limit is deviated. An
analytical expression of the physical spectrum for the exciton is given by
using of the dressed states of the cavity field and the exciton. We also give
the numerical study and compare the theoretical results with the experimental
resultsComment: 6 pages, 2 figure
Mean-field analysis of the q-voter model on networks
We present a detailed investigation of the behavior of the nonlinear q-voter
model for opinion dynamics. At the mean-field level we derive analytically, for
any value of the number q of agents involved in the elementary update, the
phase diagram, the exit probability and the consensus time at the transition
point. The mean-field formalism is extended to the case that the interaction
pattern is given by generic heterogeneous networks. We finally discuss the case
of random regular networks and compare analytical results with simulations.Comment: 20 pages, 10 figure
Mean first passage times of processes driven by white shot noise
The systems driven by white shot noise are analyzed based on mean first passage times. The shot noise has exponentially distributed jump heights. The the linkage between the results and the steady state probability density function of the process are presented
Recent results on multiplicative noise
Recent developments in the analysis of Langevin equations with multiplicative
noise (MN) are reported. In particular, we:
(i) present numerical simulations in three dimensions showing that the MN
equation exhibits, like the Kardar-Parisi-Zhang (KPZ) equation both a weak
coupling fixed point and a strong coupling phase, supporting the proposed
relation between MN and KPZ;
(ii) present dimensional, and mean field analysis of the MN equation to
compute critical exponents;
(iii) show that the phenomenon of the noise induced ordering transition
associated with the MN equation appears only in the Stratonovich representation
and not in the Ito one, and
(iv) report the presence of a new first-order like phase transition at zero
spatial coupling, supporting the fact that this is the minimum model for noise
induced ordering transitions.Comment: Some improvements respect to the first versio
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