2016/07/07 by Bienvenido M. Butanas, Butanas, Bienvenido M., Roland Cristopher F. Caballar +1
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum and electron transport phenomena #Spectroscopy and Quantum Chemical Studies
paper · pdf · doi:10.48550/arxiv.1607.01906
openalex publication_date 2016/07/07 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
This paper presents an application of white noise functional approach to\nderive the quantum propagator and the evolution of the reduced density matrix\nfor an open quantum system consisting of coupled harmonic oscillators which are\ncoupled to a bath consisting of a multimode harmonic oscillator. It is shown\nthat the full quantum propagator is a product of three individual propagators.\nThese propagators were obtained after two successive transformations of the\ncoordinates for the system, and the coordinates for the coupling between the\nbath and one of the two harmonic oscillators in the system. The obtained\npropagator is then used to derive the time evolution equation for the density\nmatrix describing the system. The method used to derive the propagator of the\nopen quantum system considered in this paper shows promise for analyzing open\nquantum systems, due to its ease of use and mathematical rigor.\n