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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

A coherent state path integral is considered for bosons with an ensembleaverage of a random potential and with an additional, repulsive interaction inthe context of BEC under inclusion of specially prepared disorder. Theessential normalization of the coherent state path integral, as a generatingfunction of observables, is obtained from the non-equilibrium time contour for'forward' and 'backward' propagation so that a time contour metric has to betaken into account in the ensemble average with the random potential.Therefore, the respective symmetries for the derivation of a nonlinear sigmamodel follow from the involved time contour metric which leads to a cosetdecomposition Sp(4)/U(2) x U(2) of the symplectic group Sp(4) with the subgroupU(2) for the unitary invariance of the density-related vacuum or ground state;the corresponding spontaneous symmetry breaking gives rise to anomalous- or'Nambu'-doubled field degrees of freedom within self-energy matrices which arefinally regarded by remaining coset matrices. The notion of a 'returnprobability', according to the original 'Anderson-localization', is thusnaturally contained within coherent state path integrals of a non-equilibriumcontour time for equivalent 'forward' and 'backward' propagation.

Ensemble averaged coherent state path integral for disordered bosons with a repulsive interaction and derivation of a nonlinear sigma model