Matthias Troyer

Matthias Troyer

Greater Seattle Area
5K followers 500+ connections

About

After nearly two decades as professor of computational physics and high performance…

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Experience & Education

  • Microsoft

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Publications

  • Matrix product state applications for the ALPS project

    elsevier

    The density-matrix renormalization group method has become a standard computational approach to the low-energy physics as well as dynamics of low-dimensional quantum systems. In this paper, we present a new set of applications, available as part of the ALPS package, that provide an efficient and flexible implementation of these methods based on a matrix product state (MPS) representation. Our applications implement, within the same framework, algorithms to variationally find the ground state…

    The density-matrix renormalization group method has become a standard computational approach to the low-energy physics as well as dynamics of low-dimensional quantum systems. In this paper, we present a new set of applications, available as part of the ALPS package, that provide an efficient and flexible implementation of these methods based on a matrix product state (MPS) representation. Our applications implement, within the same framework, algorithms to variationally find the ground state and low-lying excited states as well as simulate the time evolution of arbitrary one-dimensional and two-dimensional models. Implementing the conservation of quantum numbers for generic Abelian symmetries, we achieve performance competitive with the best codes in the community. Example results are provided for (i) a model of itinerant fermions in one dimension and (ii) a model of quantum magnetism.

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Patents

  • Optimized Trotterization via Multi-Resolution Analysis

    Issued US 20150006597

    Other inventors
  • Quantum Annealing Simulator

    Issued US 20140297247

  • Improved Algorithm for Optimization and Sampling

    US MS1-5519US

    Other inventors

Projects

Honors & Awards

  • Hamburg Prize for Theoretical Physics

    Joachim Herz Foundation

  • Aneesur Rahman Prize for Computational Physics

    American Physical Society

  • Medal for excellent PhD thesis

    ETH Zurich

Languages

  • German

    Native or bilingual proficiency

  • English

    Full professional proficiency

Organizations

  • Aspen Center for Physics

    Trustee

    - Present
  • Aspen Center for Physics

    Member

    - Present

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