Time dependent approach to quantum scattering

R. G. Tee

Weijie Du, James P. Vary, Xingbo Zhao +1 more

We present a time-dependent quantum algorithm for nuclear inelastic scattering in the time-dependent basis function on qubits approach. This algorithm aims to quantum simulate a subset of the nuclear inelastic scattering problems that are of physical interest in which the internal degrees of freedom of the reaction system are excited by time-dependent external interactions. We expect that our algorithm will enable an exponential speedup in simulating the dynamics of the subset of the inelastic scattering problems, which would also be advantageous for the applications to more complicated scattering problems. For a demonstration problem, we solve for the Coulomb excitation of the deuteron, where the quantum simulations are performed with IBM Qiskit.

Philippe Martin

Chia‐Chun Chou, Róbert E. Wyatt

The scattered wave formalism developed for a quantum subsystem interacting with reservoirs through open boundaries is applied to one- or two-dimensional barrier scattering and quantum transistors. The total wave function is divided into incident and scattered components. Markovian outgoing wave boundary conditions are imposed on the scattered or total wave function by either the ratio or polynomial methods. For barrier scattering problems, accurate time-dependent transmission probabilities are obtained through the integration of the modified time-dependent Schrödinger equations for the scattered wave function. For quantum transistors, the time-dependent transport is studied for a quantum wave packet propagating through the conduction channel of a field effect transistor. This study shows that the scattered wave formalism significantly reduces computational effort relative to other open boundary methods and demonstrates wide applications to quantum dynamical processes.

Yongky Utama

Quantum scattering under gradually varying potential by Utama Yongky thesis 2013 vii, 30 pages ; 30 cm In this work we consider quantum mechanical scattering of a charged particle by a slowly-varying time-dependent potential. By solving the time-dependent Schrödinger’s equation…Read more ›

SC Althorpe, Pavel Soldán, Gabriel G. Balint‐Kurti