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To finalize information about the accuracy of the classical field approachfor the 1d Bose gas, the lowest temperature quasicondensate was studied bycomparing the extended Bogoliubov model of Mora and Castin, to its classicalfield analogue. The parameters for which the physics is well described bymatter waves are now presented for all 1d regimes, and concurrently, theoptimal cutoff that best matches all observables together is also provided.This cutoff rises strongly with density when the chemical potential is higherthan the thermal energy to account for kinetic energy. As a consequence, cloudsthat reach this coldest quantum fluctuating regime are better described using atrap basis than plane waves. This contrasts with higher temperature clouds forwhich the basis choice is less important. In passing, estimates for chemicalpotential, density fluctuations, kinetic and interaction energy in the lowtemperature quasicondensate are obtained up to several leading terms.

Classical fields in the one-dimensional Bose gas: applicability and determination of the optimal cutoff