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Phys Rev Lett. 2004 Jul 23;93(4):040502. Epub 2004 Jul 19.

Efficient simulation of one-dimensional quantum many-body systems.

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1
Institute for Quantum Information, California Institute of Technology, Pasadena, California 91125, USA.

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.

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