Finite Temperature Matrix Product State Algorithms and Applications

  • Michael L. Wall
Chapter
Part of the Springer Theses book series (Springer Theses)

Abstract

We review the basic theory of matrix product states (MPS) as a numerical variational ansatz for time evolution, and present two methods to simulate finite temperature systems with MPS: the ancilla method and the minimally entangled typical thermal state (METTS) method. A sample calculation with the Bose–Hubbard model is provided.

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Notes

Acknowledgements

We acknowledge useful discussions with Juan José García Ripoll and Miles Stoudenmire. This work was supported by the National Science Foundation under Grant PHY-0903457. MLW thanks the Boulder Summer School for Condensed Matter for stimulating discussions. We also acknowledge the Golden Energy Computing Organization at the Colorado School of Mines for the use of resources acquired with financial assistance from the National Science Foundation and the National Renewable Energy Laboratories.

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Michael L. Wall
    • 1
    • 2
  1. 1.Colorado School of MinesGoldenUSA
  2. 2.JILA, NIST, and University of ColoradoBoulderUSA

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