Physics – Quantum Physics
Scientific paper
2003-07-16
Int. J. Quantum Info. 2 (2004) 183-200
Physics
Quantum Physics
13 pages, ReVTeX
Scientific paper
We compute, for massive particles, the explicit Wigner rotations of one-particle states for arbitrary Lorentz transformations; and the explicit Hermitian generators of the infinite-dimensional unitary representation. For a pair of spin 1/2 particles, Einstein-Podolsky-Rosen-Bell entangled states and their behaviour under the Lorentz group are analysed in the context of quantum field theory. Group theoretical considerations suggest a convenient definition of the Bell states which is slightly different from the conventional assignment. The behaviour of Bell states under arbitrary Lorentz transformations can then be described succinctly. Reduced density matrices applicable to identical particles are defined through Yang's prescription. The von Neumann entropy of each of the reduced density matrix is Lorentz invariant; and its relevance as a measure of entanglement is discussed, and illustrated with an explicit example. A regularization of the entropy in terms of generalized zeta functions is also suggested.
Lin Cyrus C. Y.
Soo Chopin
No associations
LandOfFree
Wigner rotations, Bell states, and Lorentz invariance of entanglement and von Neumann entropy does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Wigner rotations, Bell states, and Lorentz invariance of entanglement and von Neumann entropy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Wigner rotations, Bell states, and Lorentz invariance of entanglement and von Neumann entropy will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-207549