1998/12/31 by Barry C. Sanders, Dien A. Rice · 1 citation
Computer Science · Engineering · Physics and Astronomy · #Coherent states #Interferometry #Mechanical and Optical Resonators #Nonlinear system #Photonic and Optical Devices #Physics #Quantum #Quantum Information and Cryptography #Quantum entanglement #Quantum mechanics #quant-ph
paper · pdf · doi:10.1103/physreva.61.013805
published as Phys.Rev. A61 (2000) 013805 · 21 pages, 2 figures
arxiv created 1999/10/08 · openalex publication_date 1999/12/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We demonstrate several results for the nonlinear interferometer, that emerge from a formalism which elegantly describes the output field of the nonlinear interferometer as two-mode entangled coherent states. We clarify the relationship between squeezing and entangled coherent states, since a weak nonlinear evolution produces a squeezed output, while a strong nonlinear evolution produces a two-mode, two-state entangled coherent state. In between these two extremes exist superpositions of two-mode coherent states manifesting varying degrees of entanglement for arbitrary values of the nonlinearity. The cardinality of the basis set of the entangled coherent states is finite when the ratio \ensuremathχ/\ensuremathπ is rational, where \ensuremathχ is the nonlinear strength. We also show that entangled coherent states can be produced from product coherent states via a nonlinear medium without the need for the interferometric configuration. This provides an important experimental simplification in the process of creating entangled coherent states.