Modeling Complex Quantum Dynamics: Evolution of Numerical Algorithms in the HPC Context
- PDF / 792,559 Bytes
- 12 Pages / 612 x 792 pts (letter) Page_size
- 105 Downloads / 152 Views
Modeling Complex Quantum Dynamics: Evolution of Numerical Algorithms in the HPC Context I. Meyerov1* , A. Liniov2** , M. Ivanchenko3*** , and S. Denisov3, 4**** (Submitted by E. E. Tyrtyshnikov) 1
Department of Software and Supercomputing Technologies, Lobachevskii University, Nizhny Novgorod, 603950 Russia 2 Department of Software Engineering, Lobachevskii University, Nizhny Novgorod, 603950 Russia 3 Department of Applied Mathematics, Lobachevskii University, Nizhny Novgorod, 603950 Russia 4 Department of Computer Science, Oslo Metropolitan University, Oslo, N-0130 Norway Received April 2, 2020; revised April 14, 2020; accepted April 20, 2020
Abstract—Due to complexity of the systems and processes it addresses, the development of computational quantum physics is influenced by the progress in computing technology. Here we overview the evolution, from the late 1980s to the current year 2020, of the algorithms used to simulate dynamics of quantum systems. We put the emphasis on implementation aspects and computational resource scaling with the model size and propagation time. Our mini-review is based on a literature survey and our experience in implementing different types of algorithms on supercomputers “Lobachevskii” (at Lobachevskii State University of Nizhny Novgorod) and “Lomonosov 2” (at Moscow State University). DOI: 10.1134/S1995080220080120 Keywords and phrases: computational quantum physics, algorithm of numerical integration, high-performance computing.
1. INTRODUCTION The agenda of computational quantum physics (CQP) is to provide researchers with tools to model quantum systems on computers. Since most of the problems in quantum mechanics cannot be solved analytically, numerical methods were always in demand and played an important role in the development of quantum physics. In the period between the late 1990s and early 2010s, the activity on the CQP field was boosted by several waves of advances in experimental quantum physics, such as the appearance of quantum optics of ultracold matter (marked by the creation of the Bose–Einstein condensate in a lab [1]) and fast progress in superconducting microwave technologies (resulted in the creation of the first generation of quantum computer prototypes [2]). The ongoing search for new technological means to realize the quantum computing idea led to the appearance of new experimental fields, such as integrated quantum photonics [3], manipulations with trapped ions [4], and semiconductor qubit chip manufacturing [5, 6], where simulations are an integral part of the routine research activity. Almost suddenly, CQP turned to be not only a branch of theoretical quantum physics that assists the latter in gaining new knowledge but also a toolbox of methods to design new experiments and blueprint quantum devices. The new status strengthened the ties between computational quantum physics and high-performance computing (HPC) and changed character of the research activity on the CQP field. Starting *
E-mail: [email protected] E-mail: [email protected] *** E-mail: ivanchenko.mv@gmail
Data Loading...
