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:

  • D. Jaschke, M. L. Wall, and L. D. Carr, Computer Physics Communications 225, 59 (2018) [JWC18]

  • 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:

  • D. Jaschke, S. Montangero, and L. D. Carr, arXiv 1804.09796 (2018) [JaschkeMontangeroCarr18]

    1. Jaschke and L. D. Carr, arXiv 1802.10052 (2018) [JaschkeCarr18]

  • D. Jaschke, M. L. Wall, and L. D. Carr, Computer Physics Communications 225, 59 (2018) [JWC18]

  • 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]

We thank hiddencode for providing their code under a license allowing us to reuse it.

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

  • D. Jaschke, S. Montangero, and L. D. Carr, OSMPS: Many-body entangled open quantum systems [JaschkeMontangeroCarr18]

  • B. Sundar et al., A complex network description of thermal quantum states in the Ising spin chain [SVCH18]

  • D. Jaschke and L. D. Carr, Open source Matrix Product States: Exact diagonalization and other entanglement-accurate methods revisited in quantum systems [JaschkeCarr18]

  • A. Dhar, P. Torma, and J. J. Kinnunen, Fast trimers in one-dimensional extended Fermi-Hubbard model [DTormaK18]

  • E. V. H. Doggen et al., Weak vs. Strong Disorder Superfluid-Bose Glass Transition in One Dimension [DLemarieCL17]

  • D. Jaschke, M. L. Wall, and L. D. Carr, Open Source Matrix Product States: Opening ways to simulate entangled many-body systems in one dimension [JWC18]

  • B. Gardas, J. Dziarmaga, and W. H. Zurek, Quench in the 1D Bose-Hubbard model [GDZ17]

  • D. Jaschke et. al., Critical Phenomena and Kibble-Zurek Scaling in the Long-Range Quantum Ising Chain [JMW+17]

  • M. Valdez, D. Jaschke, D. L. Vargas and L. D. Carr, Detecting Quantum Phase Transitions via Mutual Information Complex Networks [VJVC17]

  • 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 [ARaifmmodecheckcelsevcfiiifmmodebaruelseufinasStrater+16]

  • 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 [DKTorma16]

  • 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 [WaLDC13]

  • 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]

The following publications are using libraries based on OpenMPS:

  • A. P. Koller et. al., Dynamics of interacting fermions in spin-dependent potentials [KWMR16]

  • 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 [MGG17]

  • 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]