Stochastic Dynamics of Quantum Spin Systems
نویسندگان
چکیده
منابع مشابه
The stochastic limit of quantum spin systems
The stochastic limit for the system of spins interacting with a boson field is investigated. In the finite volume an application of the stochastic golden rule shows that in the limit the dynamics of a quantum system is described by a quantum white noise equation that after taking of normal order is equivalent to quantum stochastic differential equation (QSDE). For the quantum Langevin equation ...
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An anomaly-free operator corresponding to the Wheeler-DeWitt constraint of Lorentzian, four-dimensional, canonical, non-perturbative vacuum gravity is constructed in the continuum. This operator is entirely free of factor ordering singularities and can be defined in symmetric and non-symmetric form. We work in the real connection representation and obtain a well-defined quantum theory. We compu...
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We consider stochastic processes, St ≡ (St x : x ∈ Z d) ∈ S d 0 with S0 finite, in which spin flips (i.e., changes of St x) do not raise the energy. We extend earlier results of Nanda-Newman-Stein that each site x has almost surely only finitely many flips that strictly lower the energy and thus that in models without zero-energy flips there is convergence to an absorbing state. In particular, ...
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ژورنال
عنوان ژورنال: Banach Center Publications
سال: 1998
ISSN: 0137-6934,1730-6299
DOI: 10.4064/-43-1-285-295