8,090 research outputs found
Exact Markovian kinetic equation for a quantum Brownian oscillator
We derive an exact Markovian kinetic equation for an oscillator linearly
coupled to a heat bath, describing quantum Brownian motion. Our work is based
on the subdynamics formulation developed by Prigogine and collaborators. The
space of distribution functions is decomposed into independent subspaces that
remain invariant under Liouville dynamics. For integrable systems in
Poincar\'e's sense the invariant subspaces follow the dynamics of uncoupled,
renormalized particles. In contrast for non-integrable systems, the invariant
subspaces follow a dynamics with broken-time symmetry, involving generalized
functions. This result indicates that irreversibility and stochasticity are
exact properties of dynamics in generalized function spaces. We comment on the
relation between our Markovian kinetic equation and the Hu-Paz-Zhang equation.Comment: A few typos in the published version are correcte
Asymmetric Mach-Zehnder fiber interferometer test of the anisotropy of the speed of light
Two optical fiber Mach-Zehnder interferometers were constructed in an
environment with a temperature stabilization of better than 1 mK per day. One
interferometer with a length of 2 m optical fiber in each arm with the main
direction of the arms parallel to each other. A path (length 175 mm) filled
with atmospheric air is inserted in one arm. Another interferometer with a
length of 2 m optical fiber in each parallel arm acts as a control. In each arm
1 m of fiber was wound around a ring made of piezo material enabling the
control of the length of the arms by means of a voltage. The influence of
rotation of the interferometers at the Earth surface on the observed phase
differences was determined. For one interferometer (with the air path) it was
found that the phase difference depends on the azimuth of the interferometer.
For the other one no relevant dependence on the azimuth has been measured.Comment: 6 pages, 6 figure
Lage kostprijs biedt ruimte voor de toekomst (1)
In dit artikel volgen we de geldstroom van netto bedrijfsresultaat naar netto kasstroom op het gemiddelde Nederlandse melkveebedrijf dat qua omvang en intensiteit vergelijkbaar is met het lagekostenbedrijf
Lage kostprijs biedt ruimte voor de toekomst (2)
In dit tweede artikel volgen we de geldstroom uit eigen bedrijf van netto bedrijfsresultaat naar netto kasstroom op het Lagekostenbedrijf en vergelijken dit met de praktijk
Lagekostenbedrijf zuinig met energie
In dit artikel wordt het energieverbruik van het lagekostenbedrijf beoordeeld
Spin-mediated dissipation and frequency shifts of a cantilever at milliKelvin temperatures
We measure the dissipation and frequency shift of a magnetically coupled
cantilever in the vicinity of a silicon chip, down to mK. The dissipation
and frequency shift originates from the interaction with the unpaired
electrons, associated with the dangling bonds in the native oxide layer of the
silicon, which form a two dimensional system of electron spins. We approach the
sample with a m-diameter magnetic particle attached to an ultrasoft
cantilever, and measure the frequency shift and quality factor as a function of
temperature and the distance. Using a recent theoretical analysis [J. M. de
Voogd et al., arXiv:1508.07972 (2015)] of the dynamics of a system consisting
of a spin and a magnetic resonator, we are able to fit the data and extract the
relaxation time ms and spin density
spins per nm. Our analysis shows that at temperatures mK magnetic
dissipation is an important source of non-contact friction.Comment: 5 pages, 3 figure
A method for mechanical generation of radio frequency fields in nuclear magnetic resonance force microscopy
We present an innovative method for magnetic resonance force microscopy
(MRFM) with ultra-low dissipation, by using the higher modes of the mechanical
detector as radio frequency (rf) source. This method allows MRFM on samples
without the need to be close to an rf source. Furthermore, since rf sources
require currents that give dissipation, our method enables nuclear magnetic
resonance experiments at ultra-low temperatures. Removing the need for an
on-chip rf source is an important step towards a MRFM which can be widely used
in condensed matter physics.Comment: 7 pages, 5 figures, to be submitted to Physical Review Applie
Parameterized Compilation Lower Bounds for Restricted CNF-formulas
We show unconditional parameterized lower bounds in the area of knowledge
compilation, more specifically on the size of circuits in decomposable negation
normal form (DNNF) that encode CNF-formulas restricted by several graph width
measures. In particular, we show that
- there are CNF formulas of size and modular incidence treewidth
whose smallest DNNF-encoding has size , and
- there are CNF formulas of size and incidence neighborhood diversity
whose smallest DNNF-encoding has size .
These results complement recent upper bounds for compiling CNF into DNNF and
strengthen---quantitatively and qualitatively---known conditional low\-er
bounds for cliquewidth. Moreover, they show that, unlike for many graph
problems, the parameters considered here behave significantly differently from
treewidth
- …