Sunday, 3 February 2019

quantum mechanics - Squeezed State and Bogoliubov transformation



A definition a bogoliubov transformation is defined as b=ua+va , b=ua+va

But, using squeeze operator S=exp[12(z(a)2za2)]
we can claim that b=SaS
is also a bogoliubov transform. Using S, how do we find the value of u and v corresponding to the first set of expressions? I have tried applying BCH formula to b=SaS but didn't get anything helpful.




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