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Emergent gauge field and the Lifshitz transition of spin-orbit coupled bosons in one dimension

TitleEmergent gauge field and the Lifshitz transition of spin-orbit coupled bosons in one dimension
Publication TypeJournal Article
Year of Publication2019
AuthorsW. S. Cole, J. Lee, K. W. Mahmud, Y. Alavirad, I.. B. Spielman, and J. D. Sau
JournalSci Rep
Volume9
Pagination7471
Date PublishedMAY 16
Type of ArticleArticle
ISSN2045-2322
Abstract

In the presence of strong spin-independent interactions and spin-orbit coupling, we show that the spinor Bose liquid confined to one spatial dimension undergoes an interaction-or density-tuned quantum phase transition similar to one theoretically proposed for itinerant magnetic solid-state systems. The order parameter describes broken Z2 inversion symmetry, with the ordered phase accompanied by non-vanishing momentum which is generated by fluctuations of an emergent dynamical gauge field at the phase transition. This quantum phase transition has dynamical critical exponent z similar or equal to 2, typical of a Lifshitz transition, but is described by a nontrivial interacting fixed point. From direct numerical simulation of the microscopic model, we extract previously unknown critical exponents for this fixed point. Our model describes a realistic situation of 1D ultracold atoms with Raman-induced spin-orbit coupling, establishing this system as a platform for studying exotic critical behavior of the Hertz-Millis type.

DOI10.1038/s41598-019-43929-6