Abstract
Abstract
I build random walks on finite graphs Γ(V,E) with vertices V and directed edges E by sequences of randomly selected edges. I obtain quantum canonical ensembles with vacuum. Single steps of these walks are acceptions and rejections, corresponding to stimulated and spontaneous emission. Split into small steps, such random walks are asynchronous versions of time evolution in quantum mechanics. As a result, for a fixed weight function of edges I obtain a family of quantum canonical ensembles, where the members are parametrized by the number of elements N, with a common balance condition, fulfilled by the first eigenvector of the weight matrix. The family connects a Markov chain with a quantum grand canonical ensemble by a passage from N = 1 to large N-values.
Publisher
Research Square Platform LLC
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