2009/05/26 by J. F. Leandro, J.F. Leandro, F. L. Semião
Computer Science · Mathematics · Physics and Astronomy · #Coherent states #Computer science #Harmonic #Harmonic oscillator #Mathematics #Mechanical and Optical Resonators #Physics #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum entanglement #Quantum mechanics #Simple (philosophy) #Squashed entanglement #State (computer science) #Topology (electrical circuits) #quant-ph
paper · pdf · doi:10.1103/physreva.79.052334
published as Phys. Rev. A 79, 052334 (2009) · 7 pages, 8 figures, minor typos fixed
openalex publication_date 2009/05/26 · arxiv created 2009/05/28 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate a simple arrangement of coupled harmonic oscillators which brings out some interesting effects concerning creation of entanglement. It is well known that if each member in a linear chain of coupled harmonic oscillators is prepared in a ``classical state,'' such as a pure coherent state or a mixed thermal state, no entanglement is created in the rotating wave approximation. On the other hand, if one of the oscillators is prepared in a nonclassical state (pure squeezed state, for instance), entanglement may be created between members of the chain. In the setup considered here, we found that a great family of nonclassical (squeezed) states can localize entanglement in such a way that distant oscillators never become entangled. We present a detailed study of this particular localization phenomenon. Our results may find application in future solid state implementations of quantum computers, and we suggest an electromechanical system consisting of an array of coupled micromechanical oscillators as a possible implementation.