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New Journal of PhysicsVolume 20, Issue 6, June 2018, Article number 063039

Quantum phase transitions and the degree of nonidentity in the system with two different species of vector bosons(Article)(Open Access)

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  • aInstitute for High Pressure Physics, Russian Academy of Sciences, Moscow, Troitsk, 108840, Russian Federation
  • bDepartment of Theoretical Physics, Moscow Institute of Physics and Technology, State University, Moscow, 141700, Russian Federation
  • cL.D. Landau Institute for Theoretical Physics, Russian Academy of Sciences, Moscow, 119334, Russian Federation
  • dNational Research Centre, Kurchatov Institute, Moscow, 123182, Russian Federation
  • eInstitute for Theoretical and Applied Electrodynamics, Russian Academy of Sciences, Moscow, 125412, Russian Federation
  • fNational Research University Higher School of Economics, Moscow, 101000, Russian Federation
  • gUral Federal University, Ekaterinburg, 620002, Russian Federation

Abstract

We present new results for the system with two species of vector bosons in an optical lattice. In addition to the standard parameters characterizing such a system, we are dealing here with the 'degree of atomic nonidentity', manifesting itself in the difference of tunneling amplitudes and on-site Coulomb interactions. We obtain a cascade of quantum phase transitions occurring with the increase in the degree of atomic nonidentity. While in the system of nearly identical vector bosons only one phase transition between two phases occurs with the evolution of the interparticle interaction, atom nonidentity increases the number of possible phases to six and the resulting phase diagrams are so nontrivial that we can speculate about their evolution from the images similar to the 'J Miró -like paintings' to 'K Malewicz-like' ones. © 2018 The Author(s). Published by IOP Publishing Ltd on behalf of Deutsche Physikalische Gesellschaft.

Indexed keywords

Engineering controlled terms:Association reactionsAtomsBosonsOptical latticesPhase diagramsPhase transitions
Engineering uncontrolled termsInter-particle interactionNew resultsParameters characterizingQuantum phase transitionsTunneling amplitudeVector boson
Engineering main heading:Quantum theory

Funding details

Funding sponsor Funding number Acronym
Russian Foundation for Basic Research16-02-00295,16-02-00304,17-02-00323,17-52-53014RFBR
  • 1

    This work was supported by the Russian Foundation for Basic Research (projects Nos. 16-02-00295, 16-02-00304, 17-52-53014, and 17-02-00323). We also express our gratitude to Government of the Russian Federation (project No. 05.Y09.21.0018) for support of the preparation of this paper revised version and the Computational Centers of Russian Academy of Sciences and National Research Center ‘Kurchatov Institute’ for providing the access to URAL, JSCC, and HPC facilities.

  • ISSN: 13672630
  • Source Type: Journal
  • Original language: English
  • DOI: 10.1088/1367-2630/aacbba
  • Document Type: Article
  • Publisher: Institute of Physics Publishing

  Chtchelkatchev, N.M.; Institute for High Pressure Physics, Russian Academy of Sciences, Moscow, Troitsk, Russian Federation;
© Copyright 2018 Elsevier B.V., All rights reserved.

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