doi:10.1103/PhysRevB.107.035121engQian, T.Fernández-Melgarejo, J. J.Zueco, D.Molina-Vilaplana, J.Non-Gaussian variational wave functions for interacting bosons on a latticeART-2023-132357A variational method for studying the ground state of strongly interacting quantum many-body bosonic systems is presented. Our approach constructs a class of extensive variational non-Gaussian wave functions which extend Gaussian states by means of nonlinear canonical transformations (NLCTs) on the fields of the theory under consideration. We illustrate this method with the one-dimensional Bose-Hubbard model for which the proposal presented here provides a family of approximate ground states at arbitrarily large values of the interaction strength. We find that, for different values of the interaction, the non-Gaussian NLCT-trial states sensibly improve the ground-state energy estimation when the system is in the Mott phase.2023http://zaguan.unizar.es/record/12400810.1103/PhysRevB.107.035121http://zaguan.unizar.es/record/124008oai:zaguan.unizar.es:124008info:eu-repo/grantAgreement/ES/DGA/E09-17R-Q-MADinfo:eu-repo/grantAgreement/ES/MICINN/PID2020-115221GBC41/AEI/10.13039/501100011033Physical Review B 107, 3 (2023), 035121 [9 pp.]All rights reservedhttp://www.europeana.eu/rights/rr-f/info:eu-repo/semantics/closedAccess