Non-Gaussian Variational Wavefunctions for Interacting Bosons on the Lattice

• URL: http://arxiv.org/abs/2211.04320v1
• Date: Tue, 8 Nov 2022 15:43:05 GMT
• Title: Non-Gaussian Variational Wavefunctions for Interacting Bosons on the Lattice
• Authors: Tian Qian, Jose J. Fernandez-Melgarejo, David Zueco, Javier Molina-Vilaplana
• Abstract summary: A 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 wavefunctions which extend Gaussian states. 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.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: A 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 wavefunctions which extend Gaussian states by means of nonlinear canonical transformations (NLCT) 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.

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