Generalized coherent states in quantum optics

Jean‐Pierre Gazeau

V. Sunilkumar, Bindu A. Bambah, R. Jagannathan +2 more

We present a general unified approach for finding the coherent states of polynomially deformed algebras such as the quadratic and Higgs algebras, which are relevant for various multiphoton processes in quantum optics. We give a general procedure to map these deformed algebras to appropriate Lie algebras. This is used, for the non compact cases, to obtain the annihilation operator coherent states, by finding the canonical conjugates of these operators. Generalized coherent states, in the Perelomov sense also follow from this construction. This allows us to explicitly construct coherent states associated with various quantum optical systems.

F. T. Arecchi, E. Courtens, Robert Gilmore +1 more

Bing He, János A. Bergou

We present a general linear optics based approach to implement contractive transformations that map products of N coherent states to products of M coherent states (M ≤ N) and apply it to nondestructive quantum database search.

A. D. Jannussis, Vasileios Bartzis

M. P. Morales Rodríguez, E. García Herrera, Omar S. Magaña‐Loaiza +3 more

We use the spatial degree of freedom of light modes to construct optical analogs of generalized quantum coherent states for Hermite- and Laguerre--Gauss modes. Our optical analogs preserve the statistical properties of their quantum counterparts, encoded in their amplitude and phase distributions. We explore three basic symmetries that provide generalized displaced, rotated, and squeezed coherent states. Given the substantial interest in squeezed states for probing matter, we believe that the optical analogs introduced here have significant implications for optical sensing. Specifically, the single-particle nature of our spatial modes makes them robust candidates for sensing photosensitive materials. Overall, our approach opens the door to optical metrology and sensing protocols that mimic those already existing in the quantum realm, and facilitates further exploration of the quantum state zoo through classical optical analogs.