769 research outputs found
Quantum pumping and dissipation: from closed to open systems
Current can be pumped through a closed system by changing parameters (or
fields) in time. The Kubo formula allows to distinguish between dissipative and
non-dissipative contributions to the current. We obtain a Green function
expression and an matrix formula for the associated terms in the
generalized conductance matrix: the "geometric magnetism" term that corresponds
to adiabatic transport; and the "Fermi golden rule" term which is responsible
to the irreversible absorption of energy. We explain the subtle limit of an
infinite system, and demonstrate the consistency with the formulas by Landauer
and Buttiker, Pretre and Thomas. We also discuss the generalization of the
fluctuation-dissipation relation, and the implications of the Onsager
reciprocity.Comment: 4 page paper, 1 figure (published version) + 2 page appendi
Efficient Algorithms for Universal Quantum Simulation
A universal quantum simulator would enable efficient simulation of quantum
dynamics by implementing quantum-simulation algorithms on a quantum computer.
Specifically the quantum simulator would efficiently generate qubit-string
states that closely approximate physical states obtained from a broad class of
dynamical evolutions. I provide an overview of theoretical research into
universal quantum simulators and the strategies for minimizing computational
space and time costs. Applications to simulating many-body quantum simulation
and solving linear equations are discussed
On the Geometry of the Nodal Lines of Eigenfunctions of the Two-Dimensional Torus
The width of a convex curve in the plane is the minimal distance between a
pair of parallel supporting lines of the curve. In this paper we study the
width of nodal lines of eigenfunctions of the Laplacian on the standard flat
torus. We prove a variety of results on the width, some having stronger
versions assuming a conjecture of Cilleruelo and Granville asserting a uniform
bound for the number of lattice points on the circle lying in short arcs.Comment: 4 figures. Added some comments about total curvature and other
detail
Classical and quantum pumping in closed systems
Pumping of charge (Q) in a closed ring geometry is not quantized even in the
strict adiabatic limit. The deviation form exact quantization can be related to
the Thouless conductance. We use Kubo formalism as a starting point for the
calculation of both the dissipative and the adiabatic contributions to Q. As an
application we bring examples for classical dissipative pumping, classical
adiabatic pumping, and in particular we make an explicit calculation for
quantum pumping in case of the simplest pumping device, which is a 3 site
lattice model.Comment: 5 pages, 3 figures. The long published version is cond-mat/0307619.
This is the short unpublished versio
Decoherence in circuits of small Josephson junctions
We discuss dephasing by the dissipative electromagnetic environment and by
measurement in circuits consisting of small Josephson junctions. We present
quantitative estimates and determine in which case the circuit might qualify as
a quantum bit. Specifically, we analyse a three junction Cooper pair pump and
propose a measurement to determine the decoherence time .Comment: 4 pages, 4 figure
Dynamics and Berry phase of two-species Bose-Einstein condensates
In terms of exact solutions of the time-dependent Schrodinger equation for an
effective giant spin modeled from a coupled two-mode Bose-Einstein condensate
(BEC) with adiabatic and cyclic time-varying Raman coupling between two
hyperfine states of the BEC, we obtain analytic time-evolution formulas of the
population imbalance and relative phase between two components with various
initial states, especially the SU(2)coherent state. We find the Berry phase
depending on the number parity of atoms, and particle number dependence of the
collapse revival of population-imbalance oscillation. It is shown that
self-trapping and phase locking can be achieved from initial SU(2) coherent
states with proper parameters.Comment: 18 pages,5 figure
Aharonov-Bohm Physics with Spin II: Spin-Flip Effects in Two-dimensional Ballistic Systems
We study spin effects in the magneto-conductance of ballistic mesoscopic
systems subject to inhomogeneous magnetic fields. We present a numerical
approach to the spin-dependent Landauer conductance which generalizes recursive
Green function techniques to the case with spin. Based on this method we
address spin-flip effects in quantum transport of spin-polarized and
-unpolarized electrons through quantum wires and various two-dimensional
Aharonov-Bohm geometries. In particular, we investigate the range of validity
of a spin switch mechanism recently found which allows for controlling spins
indirectly via Aharonov-Bohm fluxes. Our numerical results are compared to a
transfer-matrix model for one-dimensional ring structures presented in the
first paper (Hentschel et al., submitted to Phys. Rev. B) of this series.Comment: 29 pages, 15 figures. Second part of a series of two article
Physical activity opportunities within the schedule of early care and education centers
Background: Physical activity has many benefits for young children's health and overall development, but few studies have investigated how early care and education centers allot time for physical activity, along with measured individual physical activity levels for indoor/outdoor activities during a typical day. Methods: Fifty early care and education centers in central North Carolina participated in 4 full-day observations, and 559 children aged 3-5 years within centers wore accelerometers assessing physical activity during observation days. Observation and physical activity data were linked and analyzed for associations between child activity and type of classroom activity. Results: Children averaged 51 (13) minutes per day of moderate to vigorous physical activity and 99 (18) minutes per day of light physical activity while in child care. Children averaged 6 (10) and 10 (13) minutes per day of observed outdoor and indoor daily teacher-led physical activity, respectively. Outdoor time averaged 67 (49) minutes per day, and physical activity levels were higher during outdoor time than during common indoor activities (center time, circle time, and TV time). Conclusions: Physical activity levels varied between indoor and outdoor class activities. Policy and program-related efforts to increase physical activity in preschoolers should consider these patterns to leverage opportunities to optimize physical activity within early care and education centers
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