Silvano Garnerone, Thiago R. de Oliveira
We present a tensor network algorithm allowing us to sample pure states belonging to a generalized microcanonical ensemble. The algorithm consists in an adaptation of the power-method to matrix product states. From the statistical mechanics point of view the algorithm can be used to study quantum systems in the microcanonical framework, which is relevant for present experiments with isolated quantum systems. We test our computational scheme with the Heisenberg model in transverse field, and we find an interesting behavior for the magnetization curve, which is qualitatively different from analogue results obtained in the canonical ensemble, due to the microcanonical energy constraint.
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http://arxiv.org/abs/1302.3980
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