7,159 research outputs found
Internal and External Fluctuation Activated Non-equilibrium Reactive Rate Process
The activated rate process for non-equilibrium open systems is studied taking
into account both internal and external noise fluctuations in a unified way.
The probability of a particle diffusing passing over the saddle point and the
rate constant together with the effective transmission coefficient are
calculated via the method of reactive flux. We find that the complexity of
internal noise is always harmful to the diffusion of particles. However the
external modulation may be beneficial to the rate process.Comment: 10 pages, 1 figure (containing 2 subgraphs). arXiv admin note: text
overlap with arXiv:cond-mat/9911028 by other author
Rigorous Calculations of Non-Abelian Statistics in the Kitaev Honeycomb Model
We develop a rigorous and highly accurate technique for calculation of the
Berry phase in systems with a quadratic Hamiltonian within the context of the
Kitaev honeycomb lattice model. The method is based on the recently found
solution of the model which uses the Jordan-Wigner-type fermionization in an
exact effective spin-hardcore boson representation. We specifically simulate
the braiding of two non-Abelian vortices (anyons) in a four vortex system
characterized by a two-fold degenerate ground state. The result of the braiding
is the non-Abelian Berry matrix which is in excellent agreement with the
predictions of the effective field theory. The most precise results of our
simulation are characterized by an error on the order of or lower. We
observe exponential decay of the error with the distance between vortices,
studied in the range from one to nine plaquettes. We also study its correlation
with the involved energy gaps and provide preliminary analysis of the relevant
adiabaticity conditions. The work allows to investigate the Berry phase in
other lattice models including the Yao-Kivelson model and particularly the
square-octagon model. It also opens the possibility of studying the Berry phase
under non-adiabatic and other effects which may constitute important sources of
errors in topological quantum computation.Comment: 27 pages, 9 figures, 3 appendice
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Si photocathode with Ag-supported dendritic Cu catalyst for CO2 reduction
Si photocathodes integrated with Ag-supported dendritic Cu catalysts are used to perform light-driven reduction of CO2 to C2 and C3 products in aqueous solution. A back illumination geometry with an n-type Si absorber was used to permit the use of absorbing metallic catalysts. Selective carrier collection was accomplished by a p+ implantation on the illumination side and an n+ implantation followed by atomic layer deposition of TiO2 on the electrolyte site. The Ag-supported dendritic Cu CO2 reduction catalyst was formed by evaporation of Ag followed by high-rate electrodeposition of Cu to form a high surface area structure. Under simulated 1 sun illumination in 0.1 M CsHCO3 saturated with CO2, the photovoltage generated by the Si (∼600 mV) enables C2 and C3 products to be produced at -0.4 vs. RHE. Texturing of both sides of the Si increases the light-limited current density, due to reduced reflection on the illumination side, and also deceases the onset potential. Under simulated diurnal illumination conditions photocathodes maintain over 60% faradaic efficiency to hydrocarbon and oxygenate products (mainly ethylene, ethanol, propanol) for several days. After 10 days of testing, contamination from the counter electrode is observed, which causes an increase in hydrogen production. This effect is mitigated by a regeneration procedure which restores the original catalyst selectivity. A tandem, self-powered CO2 reduction device was formed by coupling a Si photocathode with two series-connected semitransparent CH3NH3PbI3 perovskite solar cells, achieving an efficiency for the conversion of sunlight to hydrocarbons and oxygenates of 1.5% (3.5% for all products)
Fully quantum mechanical dynamic analysis of single-photon transport in a single-mode waveguide coupled to a traveling-wave resonator
We analyze the dynamics of single photon transport in a single-mode waveguide
coupled to a micro-optical resonator using a fully quantum mechanical model. We
examine the propagation of a single-photon Gaussian packet through the system
under various coupling conditions. We review the theory of single photon
transport phenomena as applied to the system and we develop a discussion on the
numerical technique we used to solve for dynamical behavior of the quantized
field. To demonstrate our method and to establish robust single photon results,
we study the process of adiabatically lowering or raising the energy of a
single photon trapped in an optical resonator under active tuning of the
resonator. We show that our fully quantum mechanical approach reproduces the
semi-classical result in the appropriate limit and that the adiabatic invariant
has the same form in each case. Finally, we explore the trapping of a single
photon in a system of dynamically tuned, coupled optical cavities.Comment: 24 pages, 10 figure
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