nLab spin chain

Contents

Context

Physics

physics, mathematical physics, philosophy of physics

Surveys, textbooks and lecture notes


theory (physics), model (physics)

experiment, measurement, computable physics

Contents

Idea

(…)

References

General

Review

The original articles:

Further development:

  • Mari Carmen Banuls, Michal P. Heller, Karl Jansen, Johannes Knaute, Viktor Svensson, From spin chains to real-time thermal field theory using tensor networks (arXiv:1912.08836)

    (relation to tensor networks)

(…)

For single trace operators in super Yang-Mills theory

Identifiication of spin chain dynamics in the action of the dilatation operator in super Yang-Mills theory, specifically D=4 N=4 super Yang-Mills theory, on single trace operators/BMN operators and correspondence to Green-Schwarz superstrings on AdS5 under the AdS-CFT correspondence:

Review includes

For D3-D7 brane bound states and D3-D5 brane bound states:

  • Marius de Leeuw, Tamás Gombor, Charlotte Kristjansen, Georgios Linardopoulos, Balázs Pozsgay, Spin Chain Overlaps and the Twisted Yangian (arXiv:1912.09338)

On supersymmetric spin chains carrying braid group representations (“anyons”):

  • Indrajit Jana, Filippo Montorsi, Pramod Padmanabhan, Diego Trancanelli, Topological Quantum Computation on Supersymmetric Spin Chains [arXiv:2209.03822]

On topological phases (i.e. gapped ground states) of spin chains:

On simulation of quantum spin chains on quantum computers:

Last revised on December 11, 2022 at 19:43:03. See the history of this page for a list of all contributions to it.