Stochastic representation of the quantum quartic oscillator
Gennaro Tucci, Stefano De Nicola, Sascha Wald, Andrea Gambassi
SciPost Phys. Core 6, 029 (2023) · published 14 April 2023
- doi: 10.21468/SciPostPhysCore.6.2.029
- Submissions/Reports
Abstract
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.
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Gennaro Tucci,
- 2 Stefano De Nicola,
- 3 4 Sascha Wald,
- 5 Andrea Gambassi
- 1 Max Planck Institute for Dynamics and Self Organization [Max-Planck-Institut für Dynamik und Selbstorganisation]
- 2 Institute of Science and Technology Austria [IST]
- 3 Coventry University
- 4 L 4 Collaboration and Doctoral College for the Statistical Physics of Complex Systems
- 5 Scuola Internazionale Superiore di Studi Avanzati / International School for Advanced Studies [SISSA]
- Engineering and Physical Sciences Research Council [EPSRC]
- Horizon 2020 (through Organization: European Commission [EC])
- Institute of Science and Technology Austria [IST]