Importance sampling scheme for the stochastic simulation of quantum spin dynamics

De Nicola S. 2021. Importance sampling scheme for the stochastic simulation of quantum spin dynamics. SciPost Physics. 11(3), 048.

Download
OA 2021_SciPostPhys_DeNicola.pdf 373.83 KB

Journal Article | Published | English
Department
Abstract
The numerical simulation of dynamical phenomena in interacting quantum systems is a notoriously hard problem. Although a number of promising numerical methods exist, they often have limited applicability due to the growth of entanglement or the presence of the so-called sign problem. In this work, we develop an importance sampling scheme for the simulation of quantum spin dynamics, building on a recent approach mapping quantum spin systems to classical stochastic processes. The importance sampling scheme is based on identifying the classical trajectory that yields the largest contribution to a given quantum observable. An exact transformation is then carried out to preferentially sample trajectories that are close to the dominant one. We demonstrate that this approach is capable of reducing the temporal growth of fluctuations in the stochastic quantities, thus extending the range of accessible times and system sizes compared to direct sampling. We discuss advantages and limitations of the proposed approach, outlining directions for further developments.
Publishing Year
Date Published
2021-09-02
Journal Title
SciPost Physics
Volume
11
Issue
3
Article Number
048
ISSN
eISSN
IST-REx-ID

Cite this

De Nicola S. Importance sampling scheme for the stochastic simulation of quantum spin dynamics. SciPost Physics. 2021;11(3). doi:10.21468/scipostphys.11.3.048
De Nicola, S. (2021). Importance sampling scheme for the stochastic simulation of quantum spin dynamics. SciPost Physics. SciPost. https://doi.org/10.21468/scipostphys.11.3.048
De Nicola, Stefano. “Importance Sampling Scheme for the Stochastic Simulation of Quantum Spin Dynamics.” SciPost Physics. SciPost, 2021. https://doi.org/10.21468/scipostphys.11.3.048.
S. De Nicola, “Importance sampling scheme for the stochastic simulation of quantum spin dynamics,” SciPost Physics, vol. 11, no. 3. SciPost, 2021.
De Nicola S. 2021. Importance sampling scheme for the stochastic simulation of quantum spin dynamics. SciPost Physics. 11(3), 048.
De Nicola, Stefano. “Importance Sampling Scheme for the Stochastic Simulation of Quantum Spin Dynamics.” SciPost Physics, vol. 11, no. 3, 048, SciPost, 2021, doi:10.21468/scipostphys.11.3.048.
All files available under the following license(s):
Creative Commons Attribution 4.0 International Public License (CC-BY 4.0):
Main File(s)
Access Level
OA Open Access
Date Uploaded
2021-09-02
MD5 Checksum
e4ec69d893e31811efc6093cb6ea8eb7


Link(s) to Main File(s)
Access Level
OA Open Access

Export

Marked Publications

Open Data IST Research Explorer

Search this title in

Google Scholar