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Few-body Systems Capture Many-body Physics: Tensor Network Approach by Ran, Shi-Ju; Piga, Angelo; Peng, Cheng; Su, Gang; Lewenstein, Maciej is a scholarly article available to read on EtoBox.

What is Few-body Systems Capture Many-body Physics: Tensor Network Approach about?

Due to the presence of strong correlations, theoretical or experimental investigations of quantum many-body systems belong to the most challenging tasks in modern physics. Stimulated by tensor networks, we propose a scheme of constructing the few-body models that can be easily accessed by theoretical or experimental means, to accurately capture the ground-state properties of infinite many-body systems in higher dimensions. The general idea is to embed a small bulk of the infinite model in an "entanglement bath" so that the many-body effects can be faithfully mimicked. The approach we propose is efficient, simple, flexible, sign-problem-free, and it directly accesses the thermodynamic limit. The numerical results of the spin models on honeycomb and simple cubic lattices show that the ground-state properties including quantum phase transitions and the critical behaviors are accurately captured by only $\mathcal{O}(10)$ physical and bath sites. Moreover, since the few-body Hamiltonian only contains local interactions among a handful of sites, our work provides new ways of studying the many-body phenomena in the infinite strongly-correlated systems by mimicking them in the few-body exp

Author

Ran, Shi-Ju; Piga, Angelo; Peng, Cheng; Su, Gang; Lewenstein, Maciej

Published

2017

Language

EN