Time-local unraveling of non-Markovian stochastic Schrödinger equations

Abstract

Non-Markovian stochastic Schrödinger equations (NMSSE) are important tools in quantum mechanics, from the theory of open systems to foundations. Yet, in general, they are but formal objects: their solution can be computed numerically only in some specific cases or perturbatively. This article is focused on the NMSSE themselves rather than on the open-system evolution they unravel and aims at making them less abstract. Namely, we propose to write the stochastic realizations of linear NMSSE as averages over the solutions of an auxiliary equation with an additional random field. Our method yields a non-perturbative numerical simulation algorithm for generic linear NMSSE that can be made arbitrarily accurate for reasonably short times. For isotropic complex noises, the method extends from linear to non-linear NMSSE and allows to sample the solutions of norm-preserving NMSSE directly.

7 pages

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Cited by in corpus (8)

• Non-Hermitian Pseudomodes for Strongly Coupled Open Quantum Systems: Unravelings, Correlations and Thermodynamics
• Does gravity have to be quantized? Lessons from non-relativistic toy models
• Stochastic unravellings of non-Markovian completely positive and trace preserving maps
• Interacting quantum field theories as relativistic statistical field theories of local beables
• On the unraveling of open quantum dynamics
• Non-Markovian wave-function collapse models are Bohmian-like theories in disguise
• Unifying quantum stochastic methods using Wick's theorem on the Keldysh contour
• Decoherence Effect of Qubits in 1D Transverse Ising Model