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

Real-space entanglement spectrum (RSES) of a quantum Hall (QH) wavefunctiongives a natural route to infer the nature of its edge excitations. Computationof RSES becomes expensive with an increase in the number of particles andincluded Landau levels (LL). RSES can be efficiently computed using Monte Carlo(MC) methods for trial states that can be written as products of determinantssuch as the composite fermion (CF) and parton states. This computationalefficiency also applies to the RSES of lowest Landau level (LLL) projected CFand parton states; however, LLL projection to be used here requiresapproximations that generalize the Jain Kamilla (JK) projection. This work is acareful study of how this approximation should be made. We identify theapproximation closest in spirit to JK projection and perform tests of theapproximations involved in the projection by comparing the MC results with theRSES obtained from computationally expensive but exact methods. We present thetechniques and use them to calculate the exact RSES of the exact LLL projectedbosonic Jain $2/3$ state in bipartition of systems of sizes up to $N=24$ on thesphere. For the lowest few angular momentum sectors of the RSES, we presentevidence to show that MC results closely match the exact spectra. We alsodiscuss other plausible projection schemes. We also calculate the exact RSES ofthe unprojected fermionic Jain $2/5$ state obtained from the exactdiagonalization of the Trugman-Kivelson Hamiltonian in the two lowest LLs onthe sphere. By comparing with the RSES of the unprojected $2/5$ state fromMonte Carlo methods, we show that the latter is practically exact.

Real-space entanglement spectra of projected fractional quantum Hall states using Monte Carlo methods