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  • 1
    Electronic Resource
    Electronic Resource
    Adiabatic control of molecular excitation and tunneling by short laser pulses (1993)
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 97 (1993), S. 12634-12643 
    Details
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1021/j100150a027
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    How to build master equations for complex systems (1995)
    Springer
    Continuum mechanics and thermodynamics 7 (1995), S. 439-473 
    Details
    ISSN: 1432-0959
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Typical complex systems, e. g., complex chemical reactions, reaction-diffusion systems, and turbulent fluids are described on a macroscopic level, that is, neglecting fluctuations, with the help of deterministic equations for corresponding variables. In this article it is shown on a phenomenological level, that these systems can be described in terms of integer- or real-valued Markov processes as well, which are governed by master equations. The latter are constructed such that the macroscopic law and the fluctuations around it are reproduced correctly. Stochastic processes defined through master equations can easily be simulated. The efficiency, the stability and the parallelization of the algorithms for stochastic simulations are discussed for some examples. In the last part of the paper it is shown that the same phenomenological approach can be successfully applied to open quantum systems. The wave function is assumed to be a complex valued stochastic process in Hilbert space and the quantum master equation for the statistical operator is regarded as the equation of motion for the two-point correlation function.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01175667
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Stochastic Wave Function Approach to Generalized Master Equations (1999)
    Springer
    Journal of superconductivity 12 (1999), S. 695-702 
    Details
    ISSN: 1572-9605
    Keywords: stochastic wave function ; generalized master equations ; time-convolutionless projection operator technique ; open quantum systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology , Physics
    Notes: Abstract A generalization of the stochastic wave function method is presented that allows the unraveling of arbitrary linear quantum master equations that are not necessarily in Lindblad form and, moreover, the explicit treatment of memory effects by employing the time-convolutionless projection operator technique. The crucial point of this construction is the description of the open system in a doubled Hilbert space, which has already been successfully used for the computation of multitime correlation functions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1007716506003
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    On a Liouville-master equation formulation of open quantum systems (1995)
    Springer
    The European physical journal 98 (1995), S. 139-145 
    Details
    ISSN: 1434-6036
    Keywords: 42.50.Lc ; 02.50.Ga ; 02.70.Lq
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The dynamics of open quantum systems is formulated in terms of a probability distribution on the underlying Hilbert space. Defining the time-evolution of this probability distribution by means of a Liouvillemaster equation the time-dependent wave function of the system becomes a stochastic Markov process in the sense of classical probability theory. It is shown that the equation of motion for the two-point correlation function of the random wave function yields the quantum master equation for the statistical operator. Stochastic simulations of the Liouville-master equation are performed for a simple example from quantum optics and are shown to be in perfect agreement with the analytical solution of the corresponding equation for the statistical operator.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01318288
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  • 5
    Electronic Resource
    Electronic Resource
    A master equation investigation of coagulation reactions: Sol-gel transition (1994)
    Weinheim : Wiley-Blackwell
    Macromolecular Theory and Simulations 3 (1994), S. 585-599 
    Details
    ISSN: 1022-1344
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: The kinetics of irreversible coagulation phenomena in spatially homogeneous systems is formulated in terms of a multivariate stochastic process. The latter is governed by a master equation for the joint probability distribution of the numbers of reacting species. An efficient numerical algorithm is used to simulate the complete time evolution of the stochastic process. The method is illustrated by simulating the coagulation reaction with configuration-dependent reaction kernels, Kij = (ij)ω, for clusters of mass i and j with 1/2 〈 ω ≤ 1, which are designed to model gelation phenomena. It is demonstrated that the stochastic simulation allows the determination of critical exponents and the gel point directly from the master equation. The results are compared to predictions of the rate equation approach to the sol-gel transition.
    Additional Material: 10 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/mats.1994.040030306
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    Paper (German National Licenses)
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