article published yes Gennaro Tucci author Stefano De Nicola author 42832B76-F248-11E8-B48F-1D18A9856A870000-0002-4842-6671 Sascha Wald author Andrea Gambassi author MaSe department ISTplus - Postdoctoral Fellowships project 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. https://research-explorer.ista.ac.at/download/13277/13329/2023_SciPostPhysCore_Tucci.pdf application/pdfno SciPost Foundation2023 eng Statistical and Nonlinear PhysicsAtomic and Molecular Physicsand OpticsNuclear and High Energy PhysicsCondensed Matter Physics 2666-9366 2211.0192310.21468/scipostphyscore.6.2.029 62 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> 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>. 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. Tucci G, De Nicola S, Wald S, Gambassi A. 2023. Stochastic representation of the quantum quartic oscillator. SciPost Physics Core. 6(2), 029. 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> G. Tucci, S. De Nicola, S. Wald, A. Gambassi, SciPost Physics Core 6 (2023). 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>. 132772023-07-24T10:47:46Z2025-04-14T07:43:56Z