Acknowledgments and CitationΒΆ

We are grateful to all the alpha testers, including Arya Dhar, Aaron Glick, and David Vargas, from the Carr theoretical physics research group as well as those who provided useful feedback on the Open Source MPS project and the Open Source TEBD project.

Please cite the following paper if your publications involved simulations with openMPS:

  • M. L. Wall, and L. D. Carr; New. Journal of Physics 14, 125015 (2012) [WC12]

The following papers describe the openMPS package in more detail:

  • M. L. Wall, and L. D. Carr; Out-of-equilibrium dynamics with matrix product states [WC12]
      1. Wall, PhD thesis, Colorado School of Mines (2012)

Specific methods used in openMPS can be found here:

  • TEBD routines: PRA 60, 1956 (1999), [SS99]
  • TDVP: PRB 94, 165116 (2015), [HLO+16]
  • LRK: PRB 91, 165112 (2015), [ZMK+15]. For the calculation of the exponential we use methods from EXPOKIT [Sid98]

The following (incomplete) list contains papers using openMPS or using a library based on openMPS:

  • D. Jaschke et. al., Critical Phenomena and Kibble-Zurek Scaling in the Long-Range Quantum Ising Chain [JaschkeMaedaWhalen+16]
  • B. Gardas, J. Dziarmaga, and W. H. Zurek, Quench in the 1D Bose-Hubbard model [GardasDziarmagaZurek16]
  • D. L. Vargas and L. D. Carr, Detecting Quantum Phase Transitions via Mutual Information Complex Networks [VargasCarr15]
  • M.F. Maghrebi, Z.-X. Gong, and A.V. Gorshkov, Continuous symmetry breaking and a new universality class in 1D long-range interacting quantum systems [MaghrebiGongGorshkov15]
  • F. F. Bellotti, A. S. Dehkharghani, and N. T. Zinner, Comparing numerical and analytical approaches to strongly interacting two-component mixtures in one dimensional traps [BDZ17]
  • E. Anisimovas et. al., Semi-synthetic zigzag optical lattice for ultracold bosons [ARaifmmodecheckcelsecfiiifmmodebaruelseufinasS+16]
  • A. P. Koller et. al., Dynamics of interacting fermions in spin-dependent potentials [KWMR16]
  • A. Russomanno and E. G. Dalla Torre, Kibble-Zurek scaling in periodically driven quantum systems [RT16]
  • A. Dhar, J. J. Kinnunen, and P. Torma, Population imbalance in the extended Fermi_hubbard model [DKT16]
  • Z.-X. Gong et. al., Kaleidoscope of quantum phases in a long-range interacting spin-1 chain [GMH+16a]
  • Z.-X. Gong et. al., Topological phases with long-range interactions [GMH+16b]
  • H. Weimer, String order in dipole-blockaded quantum liquids [Wei14]
  • M. Dolfi et. al., Matrix product state applications for the ALPS project (for benchmarking) [DBK+14]
  • M. L. Wall and L. D. Carr, Dipole-dipole interactions in optical lattices do not follow an inverse cube power law [WC13]
  • M. L. Wall, E. Bekaroglu, and L. D. Carr; Molecular Hubbard Hamiltonian: Field regimes and molecular species [WBC13]
  • M. L. Wall and Lincoln D. Carr, Out-of-equilibrium dynamics with matrix product states [WC12]