Unraveling of the Lindblad equation of N coupled oscillators into N independent 
ones

Moreno , J.; Pendse, A.; Eisfeld, Alexander

doi:10.1063/5.0192457

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Unraveling of the Lindblad equation of N coupled oscillators into N independent ones

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Eisfeld, Alexander
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Citation

Moreno, J., Pendse, A., & Eisfeld, A. (2024). Unraveling of the Lindblad equation of N coupled oscillators into N independent ones. Applied Physics Letters, 124(16): 161110. doi:10.1063/5.0192457.

Cite as: https://hdl.handle.net/21.11116/0000-000F-5002-4

Abstract

We consider a system of N bi-linearly coupled damped harmonic quantum oscillators with time-evolution governed by a Lindblad equation. We show that the corresponding stochastic quantum state diffusion equation can be transformed into a set of N independent damped harmonic oscillators. This offers a great reduction in the basis size. We investigate the numerical performance of the method and find, in particular, scaling laws for the number of stochastic trajectories needed to find a certain accuracy.