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

(…)

Examples

References

General

The original articles:

Review:

  • Andreas Schadschneider, Götz S. Uhrig: Part II of: Strongly Correlated Systems in Solid State Physics, lecture notes (2004) [pdf, pdf]

  • Ingmar Saberi, An introduction to spin systems for mathematicians [arXiv:1801.07270]

Relation to tensor networks:

  • 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)

Claim of 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:

A holographic CMT model for spin chains:

  • Naoto Yokoi, Yasuyuki Oikawa, Eiji Saitoh, Holographic Dual of Quantum Spin Chain as Chern-Simons-Scalar Theory [arXiv:2310.01890&rbrack:

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)

See also:

  • Taro Kimura, Rui-Dong Zhu, Bethe/Gauge Correspondence for SOSO/SpSp Gauge Theories and Open Spin Chains, JHEP 2021 227 (2021) [arXiv:2012.14197, doi:10.1007/JHEP03(2021)227]

  • Ziwei Wang, Rui-Dong Zhu, Bethe/Gauge Correspondence for A NA_N Spin Chains with Integrable Boundaries [arXiv:2401.00764]

Analogous spin chain aspects claimed to appear in D=6 N=(2,0) SCFT:

Last revised on June 22, 2024 at 16:13:28. See the history of this page for a list of all contributions to it.