We present a technique to compute the microcanonical thermodynamical properties of a many-body quantum system using tensor networks. The density of States, and more general spectral properties, are evaluated by means of a Hubbard-Stratonovich transformation performed on top of a real-time evolution, which is carried out via numerical methods based on tensor networks. As a consequence, the free energy and thermal averages can be also calculated. We test this approach on the one-dimensional Ising and Fermi-Hubbard models. Using matrix product states, we show that the thermodynamical quantities as a function of temperature are in very good agreement with the exact results.

Density of states of many-body quantum systems from tensor networks

Silvi, Pietro;Fazio, Rosario;Montangero, Simone
2017

Abstract

We present a technique to compute the microcanonical thermodynamical properties of a many-body quantum system using tensor networks. The density of States, and more general spectral properties, are evaluated by means of a Hubbard-Stratonovich transformation performed on top of a real-time evolution, which is carried out via numerical methods based on tensor networks. As a consequence, the free energy and thermal averages can be also calculated. We test this approach on the one-dimensional Ising and Fermi-Hubbard models. Using matrix product states, we show that the thermodynamical quantities as a function of temperature are in very good agreement with the exact results.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/69029
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