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Popkov V, Prosen T. Infinitely dimensional lax structure for the one-dimensional Hubbard model. Phys Rev Lett. 2015;114(12):127201doi: 10.1103/PhysRevLett.114.127201.
Popkov, V., & Prosen, T. (2015). Infinitely dimensional lax structure for the one-dimensional Hubbard model. Physical review letters, 114(12), 127201. https://doi.org/10.1103/PhysRevLett.114.127201
Popkov, Vladislav, and Prosen, Tomaž. "Infinitely dimensional lax structure for the one-dimensional Hubbard model." Physical review letters vol. 114,12 (2015): 127201. doi: https://doi.org/10.1103/PhysRevLett.114.127201
Popkov V, Prosen T. Infinitely dimensional lax structure for the one-dimensional Hubbard model. Phys Rev Lett. 2015 Mar 27;114(12):127201. doi: 10.1103/PhysRevLett.114.127201. Epub 2015 Mar 27. PMID: 25860769.
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Phys Rev Lett. 2015 Mar 27;114(12):127201. doi: 10.1103/PhysRevLett.114.127201. Epub 2015 Mar 27.

Infinitely dimensional lax structure for the one-dimensional Hubbard model.

Physical review letters

Vladislav Popkov, Tomaž Prosen

Affiliations

  1. Institut für Theoretische Physik, Universität zu Köln, D-50937 Cologne, Germany.
  2. CSDC Università di Firenze, via G. Sansone 1, 50019 Sesto Fiorentino, Italy.
  3. Faculty of Mathematics and Physics, University of Ljubljana, SI-1000 Ljubljana, Slovenia.

PMID: 25860769 DOI: 10.1103/PhysRevLett.114.127201

Abstract

We report a two-parametric irreducible infinitely dimensional representation of the Lax integrability condition for the Fermi Hubbard chain. In addition to being of fundamental interest, hinting at possible novel quantum symmetry of the model, our construction allows for an explicit representation of an exact steady state many-body density operator for a nonequilibrium boundary-driven Hubbard chain with arbitrary (asymmetric) particle source (sink) rates at the left (right) end of the chain and with arbitrary boundary values of chemical potentials.

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