Stochastic representation of the quantum quartic oscillator Article Swipe
Gennaro Tucci
,
Stefano De Nicola
,
Sascha Wald
,
Andrea Gambassi
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.21468/scipostphyscore.6.2.029
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.21468/scipostphyscore.6.2.029
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.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.21468/scipostphyscore.6.2.029
- https://scipost.org/10.21468/SciPostPhysCore.6.2.029/pdf
- OA Status
- diamond
- Cited By
- 1
- References
- 71
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4365515778
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- OpenAlex ID
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https://openalex.org/W4365515778Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.21468/scipostphyscore.6.2.029Digital Object Identifier
- Title
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Stochastic representation of the quantum quartic oscillatorWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2023Year of publication
- Publication date
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2023-04-14Full publication date if available
- Authors
-
Gennaro Tucci, Stefano De Nicola, Sascha Wald, Andrea GambassiList of authors in order
- Landing page
-
https://doi.org/10.21468/scipostphyscore.6.2.029Publisher landing page
- PDF URL
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https://scipost.org/10.21468/SciPostPhysCore.6.2.029/pdfDirect link to full text PDF
- Open access
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YesWhether a free full text is available
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diamondOpen access status per OpenAlex
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https://scipost.org/10.21468/SciPostPhysCore.6.2.029/pdfDirect OA link when available
- Concepts
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Quartic function, Quantum, Representation (politics), Statistical physics, Set (abstract data type), Benchmark (surveying), Quantum dynamics, Computer science, Mathematics, Applied mathematics, Physics, Quantum mechanics, Pure mathematics, Law, Politics, Programming language, Geodesy, Political science, GeographyTop concepts (fields/topics) attached by OpenAlex
- Cited by
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1Total citation count in OpenAlex
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2024: 1Per-year citation counts (last 5 years)
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71Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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