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Quantum Thermodynamics

Linearized Tensor Renormalization Group Algorithm for Thermodynamics of Quantum Lattice Models

arXiv
Authors: Wei Li, Shi-Ju Ran, Shou-Shu Gong, Yang Zhao, Bin Xi, Fei Ye, Gang Su

Year

2010

Paper ID

10624

Status

Preprint

Abstract Read

~2 min

Abstract Words

112

Citations

N/A

Abstract

A linearized tensor renormalization group (LTRG) algorithm is proposed to calculate the thermodynamic properties of one-dimensional quantum lattice models, that is incorporated with the infinite time-evolving block decimation technique, and allows for treating directly the two-dimensional transfer-matrix tensor network. To illustrate its feasibility, the thermodynamic quantities of the quantum XY spin chain are calculated accurately by the LTRG, and the precision is shown to be comparable with (even better than) the transfer matrix renormalization group (TMRG) method. Unlike the TMRG scheme that can only deal with the infinite chains, the present LTRG algorithm could treat both finite and infinite systems, and may be readily extended to boson and fermion quantum lattice models.

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  • A linearized tensor renormalization group (LTRG) algorithm is proposed to calculate the thermodynamic properties of one-dimensional quantum lattice models, that is incorporated...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1011.0155 [2] arXiv https://arxiv.org/abs/1011.0155 [3] Publisher https://arxiv.org/abs/1011.0155

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