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arXiv · 0901.2863

Finite-Size Geometric Entanglement from Tensor Network Algorithms

Qian-Qian Shi·Roman Orus·John Ove Fjaerestad·Huan-Qiang Zhou
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Abstract

The global geometric entanglement is studied in the context of newly-developed tensor network algorithms for finite systems. For one-dimensional quantum spin systems it is found that, at criticality, the leading finite-size correction to the global geometric entanglement per site behaves as $b/n$, where $n$ is the size of the system and $b$ a given coefficient. Our conclusion is based on the computation of the geometric entanglement per spin for the quantum Ising model in a transverse magnetic field and for the spin-1/2 XXZ model. We also discuss the possibility of coefficient $b$ being universal.

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Qian-Qian Shi, Roman Orus, John Ove Fjaerestad, Huan-Qiang Zhou. 2010-03-19. Finite-Size Geometric Entanglement from Tensor Network Algorithms. https://doi.org/10.1088/1367-2630%2F12%2F2%2F025008

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