2021/03/12 by Kevin Zelaya, Véronique Hussin, Oscar Rosas-Ortiz +1
Computer Science · Mathematics · Physics and Astronomy · #Class (philosophy) #Coherent states #Hermite polynomials #Mathematical physics #Mathematics #Nonclassical light #Orbital Angular Momentum in Optics #Photon #Physics #Pure mathematics #Quantum #Quantum Information and Cryptography #Quantum mechanics #Quantum optics and atomic interactions #Squeezed coherent state #State (computer science) #Vacuum state #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1140/epjp/s13360-021-01536-3
published as Eur. Phys. J. Plus 136 (2021) 534
arxiv created 2021/03/12 · openalex created_date 2021/03/29 · openalex publication_date 2021/05/01 · arxiv updated 2021/05/25 · openalex updated_date 2026/08/05
A new class of states of light is introduced that is complementary to the well-known squeezed states. The construction is based on the general solution of the three-term recurrence relation that arises from the saturation of the Schrödinger inequality for the quadratures of a single-mode quantized electromagnetic field. The new squeezed states are found to be linear superpositions of the photon-number states whose coefficients are determined by the associated Hermite polynomials. These results do not seem to have been noticed before in the literature. As an example, the new class of squeezed states includes superpositions characterized by odd-photon number states only, so they represent the counterpart of the prototypical squeezed-vacuum state which consists entirely of even-photon number states.