A canonically quantized Gutzwiller action gives a Gaussian many-body theory that reproduces non-local correlations in the Bose-Hubbard model with small quantum fluctuations.
In the following, we apply this protocol to compute ⟨ ˆO⟩, where the expectation value is intended to be eval- uated on the Bogoliubov vacuum, i.e.ˆbk,α|0⟩ = 0
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Quantum fluctuations beyond the Gutzwiller approximation in the Bose-Hubbard model
A canonically quantized Gutzwiller action gives a Gaussian many-body theory that reproduces non-local correlations in the Bose-Hubbard model with small quantum fluctuations.