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===Ground state of an interacting bosonic system===
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The RPA vacuum <math>\left|\mathrm{RPA}\right\rangle</math> for a bosonic system can be expressed in terms of non-correlated bosonic vacuum <math>\left|\mathrm{MFT}\right\rangle</math> and original boson excitations <math>\mathbf{a}_{i}^{\dagger}</math>
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