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BOUNDS FOR KAC’S MASTER EQUATION
Markov chain the n ball random rotation selected at random
2015/7/14
Mark Kac considered a Markov Chain on the n–sphere based on random rotations
in randomly chosen coordinate planes. This same walk was used by Hastings on
the orthogonal group. We show that the walk ...
Quantum Master Equation and Filter for Systems Driven by Fields in a Single Photon State
Quantum Master Equation Filter Single Photon State Quantum Physics
2011/7/15
Abstract: The aim of this paper is to determine quantum master and filter equations for systems coupled to continuous-mode single photon fields. The system and field are described using a quantum stoc...
Kinetic Theory and the Kac Master Equation
Kinetic Theory the Kac Master Equation Mathematical Physics
2011/7/10
Abstract: This article reviews recent work on the Kac master equation and its low dimensional counterpart, the Kac equation.
Non-Markovian Second-Order Quantum Master Equation and Its Markovian Limit: Electronic Energy Transfer in Model Photosynthetic Systems
Non-Markovian Second-Order Quantum Master Equation Electronic Energy Transfer
2011/6/29
A direct numerical algorithm for solving the time-nonlocal non-Markovian master equation in the second Born approximation is introduced and the range of utility of this approximation, and of the Marko...
Bistability in the Chemical Master Equation for Dual Phosphorylation Cycles
Bistability Chemical Master Equation Dual Phosphorylation Cycles
2011/6/22
Dual phospho/dephosphorylation cycles, as well as covalent enzymatic-catalyzed modi cations of substrates, are widely di used within cellular systems and are crucial for the control of complex respons...
Time-convolutionless master equation for quantum dots: Perturbative expansion to arbitrary order
Time-convolutionless master equation quantum dots Perturbative expansion arbitrary order
2010/11/11
The master equation describing the non-equilibrium dynamics of a quantum dot coupled to metallic leads is considered. Employing a superoperator approach, we derive an exact time-convolutionless master...
An improved upper bound on the Entropy Production for the Kac Master equation
Entropy Production Villani’s Conjecture
2010/9/17
In this paper we take an idea presented in recent paper by Carlen, Carvalho,Le Roux, Loss, and Villani ([3]) and push it one step forward to find an exact estimation on the entropy production. The new...
Derivation of quantum master equation with counting fields by monitoring a probe
Derivation quantum master equation counting fields monitoring a probe
2010/9/9
We show a microscopic derivation of a quantum master equation with counting terms which
describes the electron statistics. A localized spin behaves as a probe whose precession angle monitors the net ...
Adiabatically steered open quantum systems: Master equation and optimal phase
Adiabatically quantum systems Master equation optimal phase
2010/9/1
We introduce an alternative way to derive the generalized form of the master equation recently
presented in Ref. [J. P. Pekola et al., Phys. Rev. Lett. 105, 030401 (2010)] for an adiabatically steere...
Heavy Ion Interactions from Coulomb Barrier to Few GeV/n: Boltzmann Master Equation Theory and FLUKA Code Performances
Heavy Ion Coulomb Barrier Few GeV/n Boltzmann Master Equation Theory FLUKA Code Performances
2004/9/30
Results which have been recently obtained with the Boltzmann master equation and the FLUKA code in the analysis of heavy ion interactions at relative energies ranging from Coulomb barrier up to a few ...
Fourth-order quantum master equation and its Markovian bath limit
Fourth-order quantum master equation Markovian bath limit
2001/9/14
Fourth-order quantum master equations~FQMEs!are derived in both time nonlocal and local forms for a general system Hamiltonian, with new detailed expressions for the fourth-order kernel, where the bat...