New quantumness domains through generalized squeezed states
Abstract
Current definitions of both squeezing operator and squeezed vacuum state are critically examined on the grounds of consistency with the underlying su(1,1) algebraic structure. Accordingly, the generalized coherent states for su(1,1) in its Schwinger twophoton realization are proposed as squeezed states. The physical implication of this assumption is that two additional degrees of freedom become available for the control of quantum optical systems. The resulting physical predictions are evaluated in terms of quadrature squeezing and photon statistics, while the application to a MachZehnder interferometer is discussed to show the emergence of nonclassical regions, characterized by negative values of Mandel's parameter, which cannot be anticipated by the current formulation, and then outline future possible use in quantum technologies.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 November 2019
 DOI:
 10.1088/17518121/ab4c7f
 arXiv:
 arXiv:1910.14550
 Bibcode:
 2019JPhA...52U5301R
 Keywords:

 generalized coherent states;
 squeezed vacuum;
 photon statistics;
 quantumness;
 Mach–Zender interferometer;
 Quantum Physics;
 Mathematical Physics
 EPrint:
 Journal of Physics A: Mathematical and Theoretical, 52 (2019) 47