Capturing non-Markovian dynamics with the reaction coordinate method
- URL: http://arxiv.org/abs/2110.02455v2
- Date: Wed, 10 Nov 2021 17:29:28 GMT
- Title: Capturing non-Markovian dynamics with the reaction coordinate method
- Authors: Nicholas Anto-Sztrikacs and Dvira Segal
- Abstract summary: We study the pure decoherence model of a spin coupled to a harmonic reservoir.
We find that the RC method can quantitatively capture non-Markovian effects at strong system-bath coupling.
Lastly, we apply our RC method and study the spin-boson model in the non-Markovian regime.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The reaction coordinate (RC) technique is emerging as a significant tool in
the study of quantum dissipative dynamics and quantum thermodynamics. With the
objective to further establish this tool, here we explore to what extent the
method can capture non-Markovian dynamics of open quantum systems. As a case
study, we focus on the pure decoherence model of a spin coupled to a harmonic
reservoir. We compare the spin dynamics and measures for non-Markovianity from
the exact analytical solution to simulations based on the RC method at the
level of a second order quantum master equation. We find that the RC method can
quantitatively capture non-Markovian effects at strong system-bath coupling and
for structured baths. This is rationalized by the fact that the collective RC
bath mode, which is made part of the system, maintains system-bath
correlations. Lastly, we apply our RC method and study the spin-boson model in
the non-Markovian regime.
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