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Excitations and correlations in the driven-dissipative Bose-Hubbard model

TitleExcitations and correlations in the driven-dissipative Bose-Hubbard model
Publication TypeJournal Article
Year of Publication2019
AuthorsT. Grass
JournalPhys. Rev. A
Date PublishedAPR 4
Type of ArticleArticle

Using a field-theoretic approach within the Schwinger-Keldysh formalism, we study a Bose-Hubbard model in the presence of a driving field and dissipation due to one-body losses. We recover the bistability diagram from the Gross-Pitaevski equation, and analyze the different phases with respect to their elementary excitations and correlations. We find the low-density solution to be subdivided into a dynamically instable, a gapped, and a gapless regime. The correlations decay exponentially, but a substantial increase of correlation length marks the regime of gapless excitations.