TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.6.2.029
TI  - Stochastic representation of the quantum quartic oscillator
PY  - 2023/04/14
UR  - https://scipost.org/SciPostPhysCore.6.2.029
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 6
IS  - 2
SP  - 029
A1  - Tucci, Gennaro
AU  - De Nicola, Stefano
AU  - Wald, Sascha
AU  - Gambassi, Andrea
AB  - 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.
ER  -

@Article{10.21468/SciPostPhysCore.6.2.029,
	title={{Stochastic representation of the quantum quartic oscillator}},
	author={Gennaro Tucci and Stefano De Nicola and Sascha Wald and Andrea Gambassi},
	journal={SciPost Phys. Core},
	volume={6},
	pages={029},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.6.2.029},
	url={https://scipost.org/10.21468/SciPostPhysCore.6.2.029},
}