A question about the ground state wave function of XXZ model

EnigmaYu
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XXZ model in 1-dimension, with external field, what is the exact form of its ground state wave function? Recently I've read the ground state wave function of XY model and was curious about the condition of XXZ. Do they have a similar manner?
The XY result is attached below.

Thanks.
 

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1D XY model with external field is equivalent to free fermions model. Because of this the ground state wave function has simple form. XXZ model can't be reduced to free fermions. Eigenfunctions of XXZ model have the form of Bethe ansatz. If external field is present, it is unknown what function from Bethe ansatz is the ground state wave function.
 

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