Corpus ID: 218628820

Thermal Pure Quantum Matrix Product States

@article{Iwaki2020ThermalPQ,
  title={Thermal Pure Quantum Matrix Product States},
  author={Atsushi Iwaki and Akira Shimizu and Chisa Hotta},
  journal={arXiv: Strongly Correlated Electrons},
  year={2020}
}
  • Atsushi Iwaki, Akira Shimizu, Chisa Hotta
  • Published 2020
  • Physics
  • arXiv: Strongly Correlated Electrons
  • We propose a way to construct thermal pure quantum matrix product state (TPQ-MPS) that can simulate finite temperature quantum many body systems with a minimal numerical cost comparable to the matrix product algorithm for the ground state in one-dimensional systems. Taking a random matrix product state with auxiliary sites attached to the edges of the system, one can anneal it down to lowest temperature, keeping the effective bond dimension of the matrix almost uniform, which will generate a… CONTINUE READING

    Figures from this paper.

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 42 REFERENCES

    T

    VIEW 1 EXCERPT

    Phys

    • S. Garnerone
    • Rev. B 88, 165140
    • 2013
    VIEW 12 EXCERPTS
    HIGHLY INFLUENTIAL

    Phys

    • S. Sugiura, A. Shimizu
    • Rev. Lett. 108, 240401
    • 2012
    VIEW 6 EXCERPTS
    HIGHLY INFLUENTIAL

    B Cond

    • A. Klümper, Z. Phy
    • Mat. 91, 507
    • 1993
    VIEW 4 EXCERPTS
    HIGHLY INFLUENTIAL

    Eur

    • A. Klümper
    • Phys. J. B 5, 677
    • 1998
    VIEW 4 EXCERPTS
    HIGHLY INFLUENTIAL

    New J

    • E. Stoudenmire, S. R. White
    • Physics 12, 055026
    • 2010
    VIEW 4 EXCERPTS
    HIGHLY INFLUENTIAL

    Phys

    • S. R. White
    • Rev. Lett. 102, 190601
    • 2009
    VIEW 4 EXCERPTS
    HIGHLY INFLUENTIAL

    ) is the random state constructed using the full Hilbert space, the variance of  TPQ k against the ensemble average  = Tr

    • the previous TPQ formalism where |ψ RM in Eq