Entanglement discontinuity
Amir Kalev, F. C. Khanna, M. Revzen · Journal of Physics A Mathematical and Theoretical · 2010
We identify a class of two-mode squeezed states which are parametrized by an angular variable θ and a squeezing parameter r . We show that, for a large squeezing value, these states are either (almost) maximally entangled or product states depending on the value of θ. This peculiar behavior of entanglement is unique for infinite-dimensional Hilbert space and has consequences, e.g., for the entangling power of unitary operators in such systems. Finally, we show that, at the limit r → ∞ , these states demonstrate a discontinuity attribute of entanglement.