2022
DOI: 10.22331/q-2022-10-25-847
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Abstract: Tracing out the environmental degrees of freedom is a necessary procedure when simulating open quantum systems. While being an essential step in deriving a tractable master equation it represents a loss of information. In situations where there is strong interplay between the system and environmental degrees of freedom this loss makes understanding the dynamics challenging. These dynamics, when viewed in isolation, have no time-local description: they are non-Markovian and memory effects induce complex feature… Show more

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Cited by 8 publications
(7 citation statements)
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“…Otherwise we shall obtain results which directly violate the energy conservation. This is the key difference between our method to what described in [47] and [46]. In [47], the calculation of bath dynamics is converted into a double integral over the system correlation function, meanwhile the calculation of quantities of our concern such as I(t) can be converted into a single integral from a mathematical point of view.…”
Section: Discussionmentioning
confidence: 99%
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“…Otherwise we shall obtain results which directly violate the energy conservation. This is the key difference between our method to what described in [47] and [46]. In [47], the calculation of bath dynamics is converted into a double integral over the system correlation function, meanwhile the calculation of quantities of our concern such as I(t) can be converted into a single integral from a mathematical point of view.…”
Section: Discussionmentioning
confidence: 99%
“…This is the key difference between our method to what described in [47] and [46]. In [47], the calculation of bath dynamics is converted into a double integral over the system correlation function, meanwhile the calculation of quantities of our concern such as I(t) can be converted into a single integral from a mathematical point of view. The double integral introduces extra averaging than single integral, and thus it can still obtain reasonable results without such a trick in [47].…”
Section: Discussionmentioning
confidence: 99%
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“…This numerical approach allows one to simulate a system with linear coupling to a reservoir of harmonic oscillators, with arbitrary forms and strengths of system-reservoir coupling. The method has been applied to a variety of problems in open quantum systems [24][25][26][27][28][29][30][31][32]. It has also been used to make conceptual connections to the process tensor (PT) formulation of open quantum systems [33,34].…”
Section: Imaginary-time Tempomentioning
confidence: 99%