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Title of Journal: J Stat Phys

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Abbravation: Journal of Statistical Physics

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Springer US

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DOI

10.1016/0006-3223(88)90164-3

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1572-9613

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Repeated Interaction Quantum Systems Van Hove Lim

Authors: Rodrigo Vargas
Publish Date: 2008/08/06
Volume: 133, Issue: 3, Pages: 491-511
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Abstract

We establish the existence of two weak coupling regime effective dynamics for an open quantum system of repeated interactions vanishing strength and individual interaction duration respectively This generalizes known results Attal and Joye in J Stat Phys 1261241–1283 2007 in that the von Neumann algebras describing the system and the chain element may not be of finite type Then but now assuming that the small system is of finite type we prove that both effective dynamics capture the longterm behavior of the system existence of a unique asymptotic state for them implies the same property for the respective exact dynamics—provided that the perturbation parameter is sufficiently small The zeroth order term in a power series expansion in the perturbation parameter of such an asymptotic state is given by the asymptotic state of the effective dynamics We conclude by working out the case in which the small system and the chain element are spins

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  2. Probabilistic Cellular Automata for Low-Temperature 2-d Ising Model
  3. Random Birth-and-Death Networks
  4. Fourth Moment Sum Rule for the Charge Correlations of a Two-Component Classical Plasma
  5. On Asymptotic Behavior of Multilinear Eigenvalue Statistics of Random Matrices
  6. Products of Random Matrices and Generalised Quantum Point Scatterers
  7. Symmetry of the Linearized Boltzmann Equation and Its Application
  8. Activity of Excitatory Neuron with Delayed Feedback Stimulated with Poisson Stream is Non-Markov
  9. Replica Symmetry Breaking Condition Exposed by Random Matrix Calculation of Landscape Complexity
  10. Entropy-Driven Phase Transition in a Polydisperse Hard-Rods Lattice System
  11. Knudsen Gas in a Finite Random Tube: Transport Diffusion and First Passage Properties
  12. New Horizons in Multidimensional Diffusion: The Lorentz Gas and the Riemann Hypothesis
  13. Clustering of Fermionic Truncated Expectation Values Via Functional Integration
  14. Large Deviations for Stationary Probabilities of a Family of Continuous Time Markov Chains via Aubry–Mather Theory
  15. Revisiting the Glansdorff–Prigogine Criterion for Stability Within Irreversible Thermodynamics
  16. Ground State Energy of the One-Dimensional Discrete Random Schrödinger Operator with Bernoulli Potential
  17. A Pearson Random Walk with Steps of Uniform Orientation and Dirichlet Distributed Lengths
  18. The More the Merrier?
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  20. Real Spin Glasses Relax Slowly in the Shade of Hierarchical Trees
  21. Galton–Watson Trees with Vanishing Martingale Limit
  22. A Maximum Entropy Method Based on Piecewise Linear Functions for the Recovery of a Stationary Density of Interval Mappings
  23. Uniform Approximation of the Integrated Density of States for Long-Range Percolation Hamiltonians
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  25. Statistical Mechanics of Nucleosomes Constrained by Higher-Order Chromatin Structure
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