2018/05/16 by Prosenjit Maity, Maity, Prosenjit, Sobhan Sounda +1
Chemistry · Physics and Astronomy · #FOS: Physical sciences #Laser-Matter Interactions and Applications #Molecular spectroscopy and chirality #Quantum Physics (quant-ph) #Spectroscopy and Quantum Chemical Studies #quant-ph
paper · pdf · doi:10.48550/arxiv.1805.06495
openalex publication_date 2018/05/16 · arxiv created 2018/08/03 · arxiv updated 2018/08/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Glauber-Sudarshan diagonal coherent state P-representation has been used to determine geometric phase for non-classical states of light. For a given density operator ρ1 of two mode optical beam, we evolve it in complex projective ray space (\cal R) to ρ2 and to ρ3 by changing its state of polarisation using unitary operator \mathrmUp(θ). The diagonal coherent state basis has been utilized to represent the density operators instead of fock state basis as in the fock state basis the state vector in present work evolve under unitary operator produe infinitely numerous terms which make the density operators very messy to handle. This cumbersome situation can be easily avoided by using the approach proposed above. The trace of the product of ρ1, ρ2 and ρ3 is taken to get three vertex Bargmann invariant. Argument of this gives the geometric phase which is represented in terms of phase space variables containing a notion of symplectic area.