---
_id: '13277'
abstract:
- lang: eng
  text: Recent experimental advances have inspired the development of theoretical
    tools to describe the non-equilibrium dynamics of quantum systems. Among them
    an exact representation of quantum spin systems in terms of classical stochastic
    processes has been proposed. Here we provide first steps towards the extension
    of this stochastic approach to bosonic systems by considering the one-dimensional
    quantum quartic oscillator. We show how to exactly parameterize the time evolution
    of this prototypical model via the dynamics of a set of classical variables. We
    interpret these variables as stochastic processes, which allows us to propose
    a novel way to numerically simulate the time evolution of the system. We benchmark
    our findings by considering analytically solvable limits and providing alternative
    derivations of known results.
acknowledgement: 'S. De Nicola acknowledges funding from the Institute of Science
  and Technology Austria (ISTA), and from the European Union’s Horizon 2020 research
  and innovation program under the Marie Skłodowska-Curie Grant Agreement No. 754411.
  S. De Nicola also acknowledges funding from the EPSRC Center for Doctoral Training
  in Cross-Disciplinary Approaches to NonEquilibrium Systems (CANES) under Grant EP/L015854/1. '
article_number: '029'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Gennaro
  full_name: Tucci, Gennaro
  last_name: Tucci
- first_name: Stefano
  full_name: De Nicola, Stefano
  id: 42832B76-F248-11E8-B48F-1D18A9856A87
  last_name: De Nicola
  orcid: 0000-0002-4842-6671
- first_name: Sascha
  full_name: Wald, Sascha
  last_name: Wald
- first_name: Andrea
  full_name: Gambassi, Andrea
  last_name: Gambassi
citation:
  ama: Tucci G, De Nicola S, Wald S, Gambassi A. Stochastic representation of the
    quantum quartic oscillator. <i>SciPost Physics Core</i>. 2023;6(2). doi:<a href="https://doi.org/10.21468/scipostphyscore.6.2.029">10.21468/scipostphyscore.6.2.029</a>
  apa: Tucci, G., De Nicola, S., Wald, S., &#38; Gambassi, A. (2023). Stochastic representation
    of the quantum quartic oscillator. <i>SciPost Physics Core</i>. SciPost Foundation.
    <a href="https://doi.org/10.21468/scipostphyscore.6.2.029">https://doi.org/10.21468/scipostphyscore.6.2.029</a>
  chicago: Tucci, Gennaro, Stefano De Nicola, Sascha Wald, and Andrea Gambassi. “Stochastic
    Representation of the Quantum Quartic Oscillator.” <i>SciPost Physics Core</i>.
    SciPost Foundation, 2023. <a href="https://doi.org/10.21468/scipostphyscore.6.2.029">https://doi.org/10.21468/scipostphyscore.6.2.029</a>.
  ieee: G. Tucci, S. De Nicola, S. Wald, and A. Gambassi, “Stochastic representation
    of the quantum quartic oscillator,” <i>SciPost Physics Core</i>, vol. 6, no. 2.
    SciPost Foundation, 2023.
  ista: Tucci G, De Nicola S, Wald S, Gambassi A. 2023. Stochastic representation
    of the quantum quartic oscillator. SciPost Physics Core. 6(2), 029.
  mla: Tucci, Gennaro, et al. “Stochastic Representation of the Quantum Quartic Oscillator.”
    <i>SciPost Physics Core</i>, vol. 6, no. 2, 029, SciPost Foundation, 2023, doi:<a
    href="https://doi.org/10.21468/scipostphyscore.6.2.029">10.21468/scipostphyscore.6.2.029</a>.
  short: G. Tucci, S. De Nicola, S. Wald, A. Gambassi, SciPost Physics Core 6 (2023).
date_created: 2023-07-24T10:47:46Z
date_published: 2023-04-14T00:00:00Z
date_updated: 2023-07-31T09:03:28Z
day: '14'
ddc:
- '530'
department:
- _id: MaSe
doi: 10.21468/scipostphyscore.6.2.029
ec_funded: 1
external_id:
  arxiv:
  - '2211.01923'
file:
- access_level: open_access
  checksum: b472bc82108747eda5d52adf9e2ac7f3
  content_type: application/pdf
  creator: dernst
  date_created: 2023-07-31T09:02:27Z
  date_updated: 2023-07-31T09:02:27Z
  file_id: '13329'
  file_name: 2023_SciPostPhysCore_Tucci.pdf
  file_size: 523236
  relation: main_file
  success: 1
file_date_updated: 2023-07-31T09:02:27Z
has_accepted_license: '1'
intvolume: '         6'
issue: '2'
keyword:
- Statistical and Nonlinear Physics
- Atomic and Molecular Physics
- and Optics
- Nuclear and High Energy Physics
- Condensed Matter Physics
language:
- iso: eng
month: '04'
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 Core
publication_identifier:
  issn:
  - 2666-9366
publication_status: published
publisher: SciPost Foundation
quality_controlled: '1'
status: public
title: Stochastic representation of the quantum quartic oscillator
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: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 6
year: '2023'
...