Skip to main content
Log in

Density Matrix of a Finite Sub-chain of the Heisenberg Anti-ferromagnet

  • Published:
Letters in Mathematical Physics Aims and scope Submit manuscript

Abstract

We consider a finite sub-chain on an interval of the infinite XXX model in the ground state. The density matrix for such a subsystem was described in our previous works for the model with inhomogeneous spectral parameters. In the present letter, we give a compact formula for the physically interesting case of the homogeneous model.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Boos H., Jimbo M., Miwa T., Smirnov F., Takeyama Y. (2005) A recursion formula for the correlation functions of an inhomogeneous XXX model. Algebra Anal. 17, 115–159

    MathSciNet  Google Scholar 

  2. Boos H., Jimbo M., Miwa T., Smirnov F., Takeyama Y. (2006) Reduced qKZ equation and correlation functions of the XXZ model. Commun. Math. Phys. 261, 245–276

    Article  MATH  ADS  MathSciNet  Google Scholar 

  3. Boos H., Jimbo M., Miwa T., Smirnov F., Takeyama Y. (2005) Traces on the Sklyanin algebra and correlation functions of the eight-vertex model. J. Phys. A. Math. Gen. 38, 7629–7659

    Article  MATH  ADS  MathSciNet  Google Scholar 

  4. Kulish P.P., Reshetikhin N.Yu., Sklyanin E.K. (1981) Yang–Baxter equation and representation theory I. Lett. Math. Phys. 5, 393–403

    Article  MATH  ADS  MathSciNet  Google Scholar 

  5. Boos H., Korepin V. (2001) Quantum spin chains and Riemann zeta functions with odd arguments. J. Phys. A 34, 5311–5316

    Article  MATH  ADS  MathSciNet  Google Scholar 

  6. Boos H., Korepin V., Smirnov F. (2003) Emptiness formation probability and quantum Knizhnik–Zamlodchikov equation. Nucl. Phys. B 658, 417–439

    Article  MATH  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to H. Boos.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Boos, H., Jimbo, M., Miwa, T. et al. Density Matrix of a Finite Sub-chain of the Heisenberg Anti-ferromagnet. Lett Math Phys 75, 201–208 (2006). https://doi.org/10.1007/s11005-006-0054-x

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11005-006-0054-x

Math. Subj. classification (2000)

Keywords

Navigation