899,172 research outputs found
Equation of motion method for Full Counting Statistics: Steady state superradiance
For the multi-mode Dicke model in a transport setting that exhibits
collective boson transmissions, we construct the equation of motion for the
cumulant generating function. Approximating the exact system of equations at
the level of cumulant generating function and system operators at lowest order,
allows us to recover master equation results of the Full Counting Statistics
for certain parameter regimes at very low cost of computation. The
thermodynamic limit, that is not accessible with the master equation approach,
can be derived analytically for different approximations.Comment: 7 pages, 3 figures, revised version, accepted by PR
Monitoring approach to open quantum dynamics using scattering theory
It is shown how S-matrix theory and the concept of continuous quantum
measurements can be combined to yield Markovian master equations which describe
the environmental interaction non-perturbatively. The method is then applied to
obtain the master equation for the effects of a gas on the internal dynamics of
an immobile complex quantum system, such as a trapped molecule, in terms of the
exact multi-channel scattering amplitudes.Comment: 5 pages; published versio
Multi-level manual and autonomous control superposition for intelligent telerobot
Space telerobots are recognized to require cooperation with human operators in various ways. Multi-level manual and autonomous control superposition in telerobot task execution is described. The object model, the structured master-slave manipulation system, and the motion understanding system are proposed to realize the concept. The object model offers interfaces for task level and object level human intervention. The structured master-slave manipulation system offers interfaces for motion level human intervention. The motion understanding system maintains the consistency of the knowledge through all the levels which supports the robot autonomy while accepting the human intervention. The superposing execution of the teleoperational task at multi-levels realizes intuitive and robust task execution for wide variety of objects and in changeful environment. The performance of several examples of operating chemical apparatuses is shown
N-Photon wave packets interacting with an arbitrary quantum system
We present a theoretical framework that describes a wave packet of light
prepared in a state of definite photon number interacting with an arbitrary
quantum system (e.g. a quantum harmonic oscillator or a multi-level atom).
Within this framework we derive master equations for the system as well as for
output field quantities such as quadratures and photon flux. These results are
then generalized to wave packets with arbitrary spectral distribution
functions. Finally, we obtain master equations and output field quantities for
systems interacting with wave packets in multiple spatial and/or polarization
modes.Comment: 20 pages, 8 figures. Published versio
Noise-Induced Spatial Pattern Formation in Stochastic Reaction-Diffusion Systems
This paper is concerned with stochastic reaction-diffusion kinetics governed
by the reaction-diffusion master equation. Specifically, the primary goal of
this paper is to provide a mechanistic basis of Turing pattern formation that
is induced by intrinsic noise. To this end, we first derive an approximate
reaction-diffusion system by using linear noise approximation. We show that the
approximated system has a certain structure that is associated with a coupled
dynamic multi-agent system. This observation then helps us derive an efficient
computation tool to examine the spatial power spectrum of the intrinsic noise.
We numerically demonstrate that the result is quite effective to analyze
noise-induced Turing pattern. Finally, we illustrate the theoretical mechanism
behind the noise-induced pattern formation with a H2 norm interpretation of the
multi-agent system
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