Efficient Simulation of One-Dimensional Quantum Many-Body Systems

2003/10/14 by Guifré Vidal, G. Vidal · 32 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems #quant-ph

paper · pdf · doi:10.1103/physrevlett.93.040502

published as Phys. Rev. Lett. 93, 040502 (2004) · 4 pages, 1 figure

arxiv created 2003/10/14 · openalex publication_date 2004/07/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

We present a numerical method to simulate the time evolution, according to a generic Hamiltonian made of local interactions, of quantum spin chains and systems alike. The efficiency of the scheme depends on the amount of entanglement involved in the simulated evolution. Numerical analysis indicates that this method can be used, for instance, to efficiently compute time-dependent properties of low-energy dynamics in sufficiently regular but otherwise arbitrary one-dimensional quantum many-body systems. As by-products, we describe two alternatives to the density matrix renormalization group method.

Citations

• Density-matrix algorithms for quantum renormalization groups
• Calculation of reduced density matrices from correlation functions
• Fractal decomposition of exponential operators with applications to many-body theories and Monte Carlo simulations

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