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Rafael I. Nepomechie

Rafael I. Nepomechie

D-Index & Metrics

Mathematics

D-Index
52
Citations
9652
World Ranking
971
National Ranking
451

Overview

Rafael I. Nepomechie is affiliated with the University of Miami in the United States. Their research spans several fields, primarily focused on Physics and Astronomy, Mathematics, and Computer Science. Within these areas, Nepomechie's work covers numerous subfields including Atomic and Molecular Physics, and Optics, Artificial Intelligence, Geometry and Topology, Statistical and Nonlinear Physics, and Algebra and Number Theory.

The main topics explored in their research include algebraic structures and combinatorial models, quantum many-body systems, quantum computing algorithms and architecture, nonlinear waves and solitons, quantum information and cryptography, advanced topics in algebra, and quantum mechanics and applications.

Nepomechie's publication record features multiple papers published in notable venues. Frequent publication venues include:

  • arXiv (Cornell University)
  • Journal of Physics A Mathematical and Theoretical
  • Journal of High Energy Physics
  • Quantum Information and Computation
  • OPAL (Open@LaTrobe) (La Trobe University)

Selected recent papers highlight the breadth of their work:

  • "Preparing exact eigenstates of the open XXZ chain on a quantum computer," 2021, Journal of Physics A Mathematical and Theoretical
  • "On generalized Q-systems," 2020, Journal of High Energy Physics
  • "Counting solutions of the Bethe equations of the quantum group invariant open XXZ chain at roots of unity," 2023, OPAL (Open@LaTrobe) (La Trobe University)
  • "Entanglement in fermionic chains and bispectrality," 2021, Reviews in Mathematical Physics
  • "Bethe states on a quantum computer: success probability and correlation functions," 2022, Journal of Physics A Mathematical and Theoretical

Throughout their career, Nepomechie has frequently collaborated with several coauthors, including:

  • David Raveh
  • Ana L. Retore
  • Nicolas Crampé
  • Luc Vinet
  • Pierre-Antoine Bernard

The body of Nepomechie's work demonstrates an interdisciplinary approach, linking advanced mathematical structures with applications in quantum computing and many-body physics. Their contributions span both theoretical aspects and practical considerations related to quantum systems and computational methods.

Best Publications

  • Review of AdS/CFT Integrability: An Overview

    Niklas Beisert;Changrim Ahn;Luis F. Alday;Zoltán Bajnok

  • Gauge invariance versus masslessness in de Sitter spaces

    Stanley Deser;Rafael I. Nepomechie

  • Magnetic monopoles from antisymmetric tensor gauge fields.

    Rafael I. Nepomechie

  • Integrable open spin chains with nonsymmetric R-matrices

    Luca Mezincescu;Rafael I. Nepomechie

  • Bethe ansatz solution of the open XXZ chain with nondiagonal boundary terms

    Rafael I Nepomechie

  • N = 6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations

    Changrim Ahn;Rafael I. Nepomechie

  • Integrability of open spin chains with quantum algebra symmetry

    Luca Mezincescu;Rafael I. Nepomechie

  • Anomalous propagation of gauge fields in conformally flat spaces

    Stanley Deser;Rafael I. Nepomechie

  • Bethe ansatz solution of the Fateev-Zamolodchikov quantum spin chain with boundary terms

    Luca Mezincescu;Rafael I. Nepomechie;V. Rittenberg

  • Functional Relations and Bethe Ansatz for the XXZ Chain

    Rafael I. Nepomechie

  • Addendum to ``Integrability of Open Spin Chains with Quantum Algebra Symmetry''

    Luca Mezincescu;Rafael I. Nepomechie

  • Low-energy limit of strings

    Rafael I. Nepomechie

  • Fusion procedure for open chains

    Luca Mezincescu;Rafael I. Nepomechie

  • $q$ Deformations of the O(3) Symmetric Spin 1 Heisenberg Chain

    M T Batchelor;L Mezincescu;R I Nepomechie;V Rittenberg

  • Completeness of the Bethe Ansatz solution of the open XXZ chain with nondiagonal boundary terms

    Rafael I Nepomechie;Francesco Ravanini

  • Analytical Bethe Ansatz for quantum algebra invariant spin chains

    Luca Mezincescu;Rafael I. Nepomechie

  • Solving the open XXZ spin chain with nondiagonal boundary terms at roots of unity

    Rafael I. Nepomechie

  • Boundary bound states and boundary bootstrap in the sine-Gordon model with Dirichlet boundary conditions

    S Skorik;H Saleur

  • Q-operator and T–Q relation from the fusion hierarchy

    Wen Li Yang;Wen Li Yang;Rafael I. Nepomechie;Yao Zhong Zhang

  • Completeness of solutions of Bethe's equations

    Wenrui Hao;Rafael I. Nepomechie;Andrew J. Sommese

  • Exact solution of the open XXZ chain with general integrable boundary terms at roots of unity

    Rajan Murgan;Rafael I Nepomechie;Chi Shi

Frequent Co-Authors

Jesper Lykke Jacobsen
Jesper Lykke Jacobsen École Normale Supérieure
Andrew J. Sommese
Andrew J. Sommese University of Notre Dame
Vladimir Kazakov
Vladimir Kazakov École Normale Supérieure
Alessandro Torrielli
Alessandro Torrielli University of Surrey
Eric Ragoucy
Eric Ragoucy Centre national de la recherche scientifique, CNRS
Luc Vinet
Luc Vinet University of Montreal
Patrick Dorey
Patrick Dorey Durham University
Nicolai Reshetikhin
Nicolai Reshetikhin Tsinghua University
Stanley Deser
Stanley Deser Brandeis University
H. J. de Vega
H. J. de Vega Sorbonne University

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