2018/02/27 by S. A. Gurvitz, Shmuel Gurvitz, Gurvitz, Shmuel
Engineering · Physics and Astronomy · #Electromagnetic Simulation and Numerical Methods #FOS: Physical sciences #Geophysical Methods and Applications #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Photorefractive and Nonlinear Optics #Quantum Physics (quant-ph) #cond-mat.mes-hall #quant-ph
paper · pdf · doi:10.48550/arxiv.1802.10148
9 pages, 6 figures
arxiv created 2018/02/27 · openalex publication_date 2018/02/27 · arxiv updated 2018/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
New time-dependent treatment of tunneling from localized state to continuum is proposed. It does not use the Laplace transform (Green's function's method) and can be applied for time-dependent potentials, as well. This approach results in simple expressions describing dynamics of tunneling to Markovian and non-Markovian reservoirs in the time-interval -∞<t<∞. It can provide a new outlook for tunneling in the negative time region, illuminating the origin of the time's arrow problem in quantum mechanics. We also concentrate on singularity at t=0, which affects the perturbative expansion of the evolution operator. In addition, the decay to continuum in periodically modulated tunneling Hamiltonian is investigated. Using our results, we extend the Tien-Gordon approach for periodically driven transport, to oscillating tunneling barriers.