Quantum annealing (QA) is a hardware-based heuristic optimization and sampling method applicable to discrete undirected graphical models. While similar to simulated annealing, QA relies on quantum, rather than thermal, effects to explore complex search spaces. For many classes of problems, QA is known to offer computational advantages over simulated annealing. Here we report on the ability of r...

Single-bubble sonoluminescence (SBSL) spectra from aqueous sulfuric acid solutions containing dissolved neon show widely varying emission despite being similar in chemical composition. From a 65 wt % solution, emission from hydroxyl radicals is observed, with the rovibronic progression being well-described by a single temperature of 7600 K. From an 80 wt % solution, however, emission spectra re...

We study the macroscopic transport properties of quantum Lorentz gas in a crystal with short-range potentials, and show that Boltzmann-Grad limit dynamics converges to random flight process which is not compatible linear Boltzmann equation. Our derivation relies on hypothesis concerning statistical distribution lattice points thin domains, closely related Berry-Tabor conjecture chaos.

A Monte Carlo method for calculation of the carrier mobility in degenerate bulk semiconductors at zero electric field is presented. The method is obtained as a limiting case of an existing small-signal approach replacing the distribution function by the Fermi-Dirac distribution which is valid at zero electric field. The general form of the Boltzmann equation which takes into account the Pauli e...

An improved method for driving a system into a desired distribution, for example, the Gibbs-Boltzmann distribution, is proposed, which makes use of an artificial relaxation process. The standard techniques for achieving the Gibbs-Boltzmann distribution involve numerical simulations under the detailed balance condition. In contrast, in the present study we formulate the Langevin dynamics, for wh...

We develop a numerical solver for the integral-differential equations, which describe the radiative transfer of photon distribution in the frequency space with resonant scattering of Lyα photons by hydrogen gas in the early universe. The time-dependent solutions of this equation is crucial to the estimation of the effect of the Wouthuysen-Field (WF) coupling in relation to the 21 cm emission an...

This study shows that the generalized Boltzmann distribution is only mathematically consistent with thermodynamics when system described by an ensemble of a certain mathematical form. form very general, such canonical, grand-canonical, or isothermal–isobaric theories are all special cases this Compared standard textbook formalism statistical mechanics (SM), approach does not require prior distr...

This short note presents an efficient way to derive from an exponential Boltzmann sampler a ordinary Boltzmann sampler. Cette note rapide présente une façon efficace de passer d’un générateur de Botzmann exponentiel à un générateur de Boltzmann ordinaire. Introduction and Motivations Les générateurs de Boltzmann introduit par Duchon, Flajolet, Louchard et Schaeffer [3], constituent une avancée ...

We study the dynamics of relaxation and thermalization in an exactly solvable model with the goal of understanding the effects of off-shell processes. The focus is to compare the exact evolution of the distribution function with different approximations to the relaxational dynamics: Boltzmann, non-Markovian and Markovian quantum kinetics. The time evolution of the occupation number or distribut...