Tucci, Gennaro; De Nicola, StefanoISTA ; Wald, Sascha; Gambassi, Andrea
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.
SciPost Physics Core
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.
Tucci G, De Nicola S, Wald S, Gambassi A. Stochastic representation of the quantum quartic oscillator. SciPost Physics Core. 2023;6(2). doi:10.21468/scipostphyscore.6.2.029
Tucci, G., De Nicola, S., Wald, S., & Gambassi, A. (2023). Stochastic representation of the quantum quartic oscillator. SciPost Physics Core. SciPost Foundation. https://doi.org/10.21468/scipostphyscore.6.2.029
Tucci, Gennaro, Stefano De Nicola, Sascha Wald, and Andrea Gambassi. “Stochastic Representation of the Quantum Quartic Oscillator.” SciPost Physics Core. SciPost Foundation, 2023. https://doi.org/10.21468/scipostphyscore.6.2.029.
G. Tucci, S. De Nicola, S. Wald, and A. Gambassi, “Stochastic representation of the quantum quartic oscillator,” SciPost Physics Core, 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, Gennaro, et al. “Stochastic Representation of the Quantum Quartic Oscillator.” SciPost Physics Core, vol. 6, no. 2, 029, SciPost Foundation, 2023, doi:10.21468/scipostphyscore.6.2.029.
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