Relationship between squeezing and entangled state transformations
Fan Hong‐Yi, Fan Yue · Journal of Physics A Mathematical and General · 2003
We show that c-number dilation transform in the Einstein–Podolsky–Rosen (EPR) entangled state, i.e. |η 1 , η 2 ⟩ → |η 1 , η 2 /μ⟩ (or |η 1 , η 2 ⟩ → |η 1 /μ, η 2 ⟩), maps onto a kind of one-sided two-mode squeezing operator exp {iλ/2( P 1 + P 2 )( Q 1 + Q 2 ) − λ/2}, (or exp{iλ/2( P 1 − P 2 )( Q 1 − Q 2 ) − λ/2}). Using the IWOP technique, we derive their normally ordered form and construct the corresponding squeezed states. In doing so, some new relationship between squeezing and entangled state transformation is revealed. The dynamic Hamiltonian for such a kind of squeezing evolution is derived. The properties and application of the one-sided squeezed state are briefly discussed. These states can also be obtained with the use of a beam splitter.