Simulation of one-dimensional quantum systems with a global SU(2) symmetry

Sukhwinder Singh; Huan Qiang Zhou; Guifre Vidal

doi:10.1088/1367-2630/12/3/033029

Simulation of one-dimensional quantum systems with a global SU(2) symmetry

Sukhwinder Singh^*, Huan Qiang Zhou, Guifre Vidal

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

44 Citations (Scopus)

Abstract

In this paper, we describe a refined matrix product representation for many-body states that are invariant under SU(2) transformations and use it to extend the time-evolving block decimation (TEBD) algorithm to the simulation of time evolution in the presence of an SU(2) symmetry. The resulting algorithm, when tested in a critical quantum spin chain, proved to be more efficient than the standard TEBD.

Original language	English
Article number	033029
Journal	New Journal of Physics
Volume	12
DOIs	https://doi.org/10.1088/1367-2630/12/3/033029
Publication status	Published - 16 Mar 2010

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title = "Simulation of one-dimensional quantum systems with a global SU(2) symmetry",

abstract = "In this paper, we describe a refined matrix product representation for many-body states that are invariant under SU(2) transformations and use it to extend the time-evolving block decimation (TEBD) algorithm to the simulation of time evolution in the presence of an SU(2) symmetry. The resulting algorithm, when tested in a critical quantum spin chain, proved to be more efficient than the standard TEBD.",

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N2 - In this paper, we describe a refined matrix product representation for many-body states that are invariant under SU(2) transformations and use it to extend the time-evolving block decimation (TEBD) algorithm to the simulation of time evolution in the presence of an SU(2) symmetry. The resulting algorithm, when tested in a critical quantum spin chain, proved to be more efficient than the standard TEBD.

AB - In this paper, we describe a refined matrix product representation for many-body states that are invariant under SU(2) transformations and use it to extend the time-evolving block decimation (TEBD) algorithm to the simulation of time evolution in the presence of an SU(2) symmetry. The resulting algorithm, when tested in a critical quantum spin chain, proved to be more efficient than the standard TEBD.

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VL - 12

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Simulation of one-dimensional quantum systems with a global SU(2) symmetry

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