248,463 research outputs found
Matrix product approximations to multipoint functions in two-dimensional conformal field theory
Matrix product states (MPS) illustrate the suitability of tensor networks for
the description of interacting many-body systems: ground states of gapped -D
systems are approximable by MPS as shown by Hastings [J. Stat. Mech. Theor.
Exp., P08024 (2007)]. In contrast, whether MPS and more general tensor networks
can accurately reproduce correlations in critical quantum systems, respectively
quantum field theories, has not been established rigorously. Ample evidence
exists: entropic considerations provide restrictions on the form of suitable
Ansatz states, and numerical studies show that certain tensor networks can
indeed approximate the associated correlation functions. Here we provide a
complete positive answer to this question in the case of MPS and conformal
field theory: we give quantitative estimates for the approximation error when
approximating correlation functions by MPS. Our work is constructive and yields
an explicit MPS, thus providing both suitable initial values as well as a
rigorous justification of variational methods.Comment: 5 pages, 1 figure. See long companion paper arXiv:1509.07414 for full
technical detail
Active Brownian Particles and Run-and-Tumble Particles: a Comparative Study
Active Brownian particles (ABPs) and Run-and-Tumble particles (RTPs) both
self-propel at fixed speed along a body-axis that reorients
either through slow angular diffusion (ABPs) or sudden complete randomisation
(RTPs). We compare the physics of these two model systems both at microscopic
and macroscopic scales. Using exact results for their steady-state distribution
in the presence of external potentials, we show that they both admit the same
effective equilibrium regime perturbatively that breaks down for stronger
external potentials, in a model-dependent way. In the presence of collisional
repulsions such particles slow down at high density: their propulsive effort is
unchanged, but their average speed along becomes . A
fruitful avenue is then to construct a mean-field description in which
particles are ghost-like and have no collisions, but swim at a variable speed
that is an explicit function or functional of the density . We give
numerical evidence that the recently shown equivalence of the fluctuating
hydrodynamics of ABPs and RTPs in this case, which we detail here, extends to
microscopic models of ABPs and RTPs interacting with repulsive forces.Comment: 32 pages, 6 figure
Collaborative design : managing task interdependencies and multiple perspectives
This paper focuses on two characteristics of collaborative design with
respect to cooperative work: the importance of work interdependencies linked to
the nature of design problems; and the fundamental function of design
cooperative work arrangement which is the confrontation and combination of
perspectives. These two intrinsic characteristics of the design work stress
specific cooperative processes: coordination processes in order to manage task
interdependencies, establishment of common ground and negotiation mechanisms in
order to manage the integration of multiple perspectives in design
Spin-orbit coupling and electron spin resonance for interacting electrons in carbon nanotubes
We review the theoretical description of spin-orbit scattering and electron
spin resonance in carbon nanotubes. Particular emphasis is laid on the effects
of electron-electron interactions. The spin-orbit coupling is derived, and the
resulting ESR spectrum is analyzed both using the effective low-energy field
theory and numerical studies of finite-size Hubbard chains and two-leg Hubbard
ladders. For single-wall tubes, the field theoretical description predicts a
double peak spectrum linked to the existence of spin-charge separation. The
numerical analysis basically confirms this picture, but also predicts
additional features in finite-size samples.Comment: 19 pages, 4 figures, invited review article for special issue in J.
Phys. Cond. Mat., published versio
A study of factors affecting the utility of implicit relevance feedback
Implicit relevance feedback (IRF) is the process by which a search system unobtrusively gathers evidence on searcher interests from their interaction with the system. IRF is a new method of gathering information on user interest and, if IRF is to be used in operational IR systems, it is important to establish when it performs well and when it performs poorly. In this paper we investigate how the use and effectiveness of IRF is affected by three factors: search task complexity, the search experience of the user and the stage in the search. Our findings suggest that all three of these factors contribute to the utility of IRF
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