Collision-model-based approach to non-Markovian quantum dynamics
By F. Ciccarello, G. Palma, Vittorio Giovannetti. 2012
138 citations recorded by the source corpus.
We present a theoretical framework to tackle quantum non-Markovian dynamics based on a microscopic collision model (CM), where the bath consists of a large collection of initially uncorrelated ancillas. Unlike standard memoryless CMs, we endow the bath with memory by introducing interancillary collisions between next system-ancilla interactions. Our model interpolates between a fully Markovian dynamics and the continuous interaction of the system with a single ancilla, i.e., a strongly non-Markovian process. We show that in the continuous limit one can derive a general master equation, which, while keeping such features, is guaranteed to describe an unconditionally completely positive and trace-preserving dynamics. We apply our theory to an atom in a dissipative cavity for a Lorentzian spectral density of bath modes, a dynamics which can be exactly solved. The predicted evolution shows a significant improvement in approaching the exact solution with respect to two well-known memory-kernel master equations.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/8ddbb86717e2dd05ff2cb5216a020b5ddbba531b
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In Artificial Intelligence
In Atomic and Molecular Physics, and Optics
Citations in the corpus
- Quantum channels and memory effects (2012, background): “(Ciccarello et al., 2013; Rybar et al., 2012) by generalizing the collision models discussed in the previous section and in (Shabani and Lidar, 2005) exploiting adaptive strategies that involve the measurements of the system environment followed by local transformations.”
- Dynamics of non-Markovian open quantum systems (2015, background): “From Ciccarello et al. (2013). of this system-ancilla, ancilla-ancilla collisional process gives rise in the continuum limit to a master equation of the form dρs dt = ∫ t 0 dse−ΓsE(t)[ρ̇s(t− s)] + e−ΓtĖ(t)[ρs(0)].”