Low-Temperature Gibbs States with Tensor Networks

• URL: http://arxiv.org/abs/2501.08300v1
• Date: Tue, 14 Jan 2025 18:29:20 GMT
• Title: Low-Temperature Gibbs States with Tensor Networks
• Authors: Denise Cocchiarella, Mari Carmen Bañuls,
• Abstract summary: We introduce a tensor network method for approximating thermal equilibrium states of quantum many-body systems at low temperatures. We demonstrate our approach within a tree tensor network ansatz, although it can be extended to other tensor networks.
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• Abstract: We introduce a tensor network method for approximating thermal equilibrium states of quantum many-body systems at low temperatures. In contrast to standard (thermofield double matrix product state) algorithms, our ansatz is constructed from the zero-temperature limit, the ground state, which can be simply found with a standard tensor network approach. This method allows us to efficiently compute thermodynamic quantities and entanglement properties. We demonstrate our approach within a tree tensor network ansatz, although it can be extended to other tensor networks, and present results illustrating its effectiveness in capturing the finite-temperature properties in the $1\mathrm{D}$ and $2\mathrm{D}$ scenario.

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