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Journal of Physics A Mathematical and General

Relationship between squeezing and entangled state transformations

Fan Hong‐Yi, Fan Yue

Published Apr 29, 2003• 20 citations

Abstract

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.

DOI: 10.1088/0305-4470/36/19/309

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