

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.
| Engineering controlled terms: | Association reactionsAtomsBosonsOptical latticesPhase diagramsPhase transitions |
|---|---|
| Engineering uncontrolled terms | Inter-particle interactionNew resultsParameters characterizingQuantum phase transitionsTunneling amplitudeVector boson |
| Engineering main heading: | Quantum theory |
| Funding sponsor | Funding number | Acronym |
|---|---|---|
| Russian Foundation for Basic Research | 16-02-00295,16-02-00304,17-02-00323,17-52-53014 | RFBR |
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.
Chtchelkatchev, N.M.; Institute for High Pressure Physics, Russian Academy of Sciences, Moscow, Troitsk, Russian Federation;
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