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.

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Journal Article | Published | English
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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
Publisher
SciPost
Volume
11
Issue
3
Article Number
048
ISSN
eISSN
IST-REx-ID

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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.
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