---
_id: '9981'
abstract:
- lang: eng
  text: "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\r\nfor further developments."
article_number: '048'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Stefano
  full_name: De Nicola, Stefano
  id: 42832B76-F248-11E8-B48F-1D18A9856A87
  last_name: De Nicola
  orcid: 0000-0002-4842-6671
citation:
  ama: De Nicola S. Importance sampling scheme for the stochastic simulation of quantum
    spin dynamics. <i>SciPost Physics</i>. 2021;11(3). doi:<a href="https://doi.org/10.21468/scipostphys.11.3.048">10.21468/scipostphys.11.3.048</a>
  apa: De Nicola, S. (2021). Importance sampling scheme for the stochastic simulation
    of quantum spin dynamics. <i>SciPost Physics</i>. SciPost. <a href="https://doi.org/10.21468/scipostphys.11.3.048">https://doi.org/10.21468/scipostphys.11.3.048</a>
  chicago: De Nicola, Stefano. “Importance Sampling Scheme for the Stochastic Simulation
    of Quantum Spin Dynamics.” <i>SciPost Physics</i>. SciPost, 2021. <a href="https://doi.org/10.21468/scipostphys.11.3.048">https://doi.org/10.21468/scipostphys.11.3.048</a>.
  ieee: S. De Nicola, “Importance sampling scheme for the stochastic simulation of
    quantum spin dynamics,” <i>SciPost Physics</i>, vol. 11, no. 3. SciPost, 2021.
  ista: De Nicola S. 2021. Importance sampling scheme for the stochastic simulation
    of quantum spin dynamics. SciPost Physics. 11(3), 048.
  mla: De Nicola, Stefano. “Importance Sampling Scheme for the Stochastic Simulation
    of Quantum Spin Dynamics.” <i>SciPost Physics</i>, vol. 11, no. 3, 048, SciPost,
    2021, doi:<a href="https://doi.org/10.21468/scipostphys.11.3.048">10.21468/scipostphys.11.3.048</a>.
  short: S. De Nicola, SciPost Physics 11 (2021).
date_created: 2021-09-02T11:49:47Z
date_published: 2021-09-02T00:00:00Z
date_updated: 2023-08-11T10:59:29Z
day: '02'
ddc:
- '519'
department:
- _id: MaSe
doi: 10.21468/scipostphys.11.3.048
ec_funded: 1
external_id:
  arxiv:
  - '2103.16468'
  isi:
  - '000692534200001'
file:
- access_level: open_access
  checksum: e4ec69d893e31811efc6093cb6ea8eb7
  content_type: application/pdf
  creator: cchlebak
  date_created: 2021-09-02T14:05:43Z
  date_updated: 2021-09-02T14:05:43Z
  file_id: '9984'
  file_name: 2021_SciPostPhys_DeNicola.pdf
  file_size: 373833
  relation: main_file
  success: 1
file_date_updated: 2021-09-02T14:05:43Z
has_accepted_license: '1'
intvolume: '        11'
isi: 1
issue: '3'
keyword:
- General Physics and Astronomy
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: SciPost Physics
publication_identifier:
  eissn:
  - 2666-9366
  issn:
  - 2542-4653
publication_status: published
publisher: SciPost
quality_controlled: '1'
status: public
title: Importance sampling scheme for the stochastic simulation of quantum spin dynamics
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 11
year: '2021'
...