English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Continuous symmetry breaking (CSB) in low-dimensional systems, forbidden bythe Mermin-Wagner theorem for short-range interactions, may take place in thepresence of slowly decaying long-range interactions. Nevertheless, there is nostringent bound on how slowly interactions should decay to give rise to CSB in1D quantum systems at zero temperature. Here, we study a long-range interactingspin chain with $U(1)$ symmetry and power-law interactions$V(r)\sim1/r^\alpha$, directly relevant to ion-trap experiments. Usingbosonization and renormalization group theory, we find CSB for $\alpha$ smallerthan a critical exponent $\alpha_c(\le 3)$ depending on the microscopicparameters of the model. Furthermore, the transition from the gapless XY phaseto the gapless CSB phase is mediated by the breaking of conformal symmetry dueto long-range interactions, and is described by a new universality class akinto the Berezinskii-Kosterlitz-Thouless transition. Our analytical findings arein good agreement with a numerical calculation. Signatures of the CSB phaseshould be accessible in existing trapped-ion experiments.

Continuous symmetry breaking and a new universality class in 1D long-range interacting quantum systems