2015/01/28 by I. Nagy, I. Aldazabal, I. Aldazábal +4
Mathematics · Physics and Astronomy · #Entropy (arrow of time) #FOS: Physical sciences #Mathematics #Orthogonality #Orthonormal basis #Other Condensed Matter (cond-mat.other) #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum and electron transport phenomena #Quantum mechanics #Spectroscopy and Quantum Chemical Studies #Statistical physics #cond-mat.other #quant-ph
paper · pdf · doi:10.48550/arxiv.1501.07140
16 pages, 2 figures
arxiv created 2015/01/28 · openalex publication_date 2015/01/28 · arxiv updated 2015/01/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Time-dependent quantities are calculated in the linear response limit for a correlated one dimensional model atom driven by an external quadrupolar time-dependent field. Besides the analysis of the time-evolving energy change in the correlated two-particle system, and orthogonality of initial and final states, Mehler's formula is applied in order to derive a point-wise decomposition of the time-dependent one-matrix in terms of time-dependent occupation numbers and time-dependent orthonormal, natural orbitals. Based on such exact spectral decomposition on the time domain, Rényi's entropy is also investigated. Considering the structure of the exact time-dependent one-matrix, an independent-particle model is defined from it which contains exact information on the single-particle probability density and probability current. The resulting noninteracting auxiliary state is used to construct an effective potential and discuss its applicability.