Numerical and Monte Carlo Bethe ansatz method: 1D Heisenberg model

@article{Gu2005NumericalAM,
  title={Numerical and Monte Carlo Bethe ansatz method: 1D Heisenberg model},
  author={Shi-jian Gu and Nuno M. R. Peres and You-quan Li},
  journal={The European Physical Journal B - Condensed Matter and Complex Systems},
  year={2005},
  volume={48},
  pages={157-165}
}
Abstract.In this paper we present two new numerical methods for studying thermodynamic quantities of integrable models. As an example of the effectiveness of these two approaches, results from numerical solutions of all sets of Bethe ansatz equations, for small Heisenberg chains, and Monte Carlo simulations in quasi-momentum space, for a relatively larger chains, are presented. Our results agree with those obtained by the thermodynamic Bethe ansatz (TBA). As an application of these ideas, the… CONTINUE READING

Create an AI-powered research feed to stay up to date with new papers like this posted to ArXiv

Citations

Publications citing this paper.

References

Publications referenced by this paper.
SHOWING 1-5 OF 5 REFERENCES

Quantum computation and quantum information

  • Thierry Paul
  • Mathematics, Computer Science
  • Mathematical Structures in Computer Science
  • 2007
VIEW 1 EXCERPT

Phase Transition and Critical Phenomena, 11, edited

  • J. L. Cardy
  • 1988
VIEW 1 EXCERPT