Results 71 to 80 of about 72,880 (178)
Lagrangian Formulation of Stochastic Inflation: A Recursive Approach
We present a new, recursive approach to stochastic inflation which is self-consistent and solves multiple problems which plagued a certain number of previous studies, in particular in realistic contexts where the background spacetime is taken to be ...
Levasseur, Laurence Perreault
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Conditioned Stochastic Particle Systems and Integrable Quantum Spin Systems [PDF]
We consider from a microscopic perspective large deviation properties of several stochastic interacting particle systems, using their mapping to integrable quantum spin systems. A brief review of recent work is given and several new results are presented: (i) For the general disordered symmectric exclusion process (SEP) on some finite lattice ...
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Stochastic simulation algorithm for the quantum linear Boltzmann equation
We develop a Monte Carlo wave function algorithm for the quantum linear Boltzmann equation, a Markovian master equation describing the quantum motion of a test particle interacting with the particles of an environmental background gas.
Breuer, Heinz-Peter +3 more
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Integral equation of quantum stochastic process
To describe stochastic quantum processes I propose an integral equation of Volterra type which is not generally transformable to any differential one. The process is a composition of ordinary quantum evolution which admits presence of a quantum bath and reductions to pure states.
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Harmonic Path Integral Diffusion
Harmonic Path Integral Diffusion (H-PID) introduces a novel approach to sampling from complex, continuous probability distributions by creating a time-dependent “bridge” from an initial point to the target distribution.
Hamidreza Behjoo, Michael Chertkov
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Nonequilibrium thermodynamics of uncertain stochastic processes
Stochastic thermodynamics is formulated under the assumption of perfect knowledge of all thermodynamic parameters. However, in any real-world situation, there is nonzero uncertainty about the precise value of temperatures, chemical potentials, energy ...
Jan Korbel, David H. Wolpert
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Stochastic path integrals can be derived like quantum mechanical path integrals
Stochastic mechanics---the study of classical stochastic systems governed by things like master equations and Fokker-Planck equations---exhibits striking mathematical parallels to quantum mechanics. In this article, we make those parallels more transparent by presenting a quantum mechanics-like formalism for deriving a path integral description of ...
Vastola, John J., Holmes, William R.
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Fast quantum algorithms for numerical integrals and stochastic processes
We discuss quantum algorithms that calculate numerical integrals and descriptive statistics of stochastic processes. With either of two distinct approaches, one obtains an exponential speed increase in comparison to the fastest known classical deterministic algorithms and a quadratic speed increase in comparison to classical Monte Carlo (probabilistic)
Abrams, Daniel S., Williams, Colin P.
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Toward a Theory of Phase Transitions in Quantum Control Landscapes
Control landscape phase transitions (CLPTs) occur as abrupt changes in the cost function landscape upon varying a control parameter and can be revealed by nonanalytic points in statistical order parameters. A prime example are quantum speed limits, which
Nicolò Beato, Pranay Patil, Marin Bukov
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Quantum Mechanical versus Stochastic Processes in Path Integration
By using path integrals, the stochastic process associated to the time evolution of the quantum probability density is formally rewritten in terms of a stochastic differential equation, given by Newton's equation of motion with an additional multiplicative stochastic force.
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