Name
Title | ||
|---|---|---|
Massively parallel implementation and approaches to simulate quantum dynamics using Krylov subspace techniques. |
Abstract | ||
|---|---|---|
We have developed an application and implemented parallel algorithms in order to provide a computational framework suitable for massively parallel supercomputers to study the unitary dynamics of quantum systems. We use renowned parallel libraries such as PETSc/SLEPc combined with high-performance computing approaches in order to overcome the large memory requirements to be able to study systems whose Hilbert space dimension comprises over 9 billion independent quantum states. Moreover, we provide descriptions of the parallel approach used for the three most important stages of the simulation: handling the Hilbert subspace basis, constructing a matrix representation for a generic Hamiltonian operator and the time evolution of the system by means of the Krylov subspace methods. We employ our setup to study the evolution of quasidisordered and clean many-body systems, focussing on the return probability and related dynamical exponents: the large system sizes accessible provide novel insights into their thermalization properties. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1016/j.cpc.2018.08.010 | Computer Physics Communications |
Keywords | DocType | Volume |
Strongly interacting systems,Krylov subspace methods,Unitary quantum dynamics,Distributed memory parallelism | Journal | 235 |
ISSN | Citations | PageRank |
0010-4655 | 0 | 0.34 |
References | Authors | |
2 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Marlon Brenes | 1 | 0 | 0.34 |
| Vipin Kerala Varma | 2 | 0 | 0.34 |
| A. Scardicchio | 3 | 15 | 2.46 |
| Ivan Girotto | 4 | 0 | 0.34 |