2020 **Abstract:** The dynamics of a wide range of technologically important quantum systems are dominated by their interaction with just a few environmental modes. Such highly structured environments give rise to long-lived bath correlations that induce complex dynamics which are very difficult to simulate. These difficulties are further aggravated when spatial correlations between different parts of the system are important. By modeling the dynamics of a pair of two-level quantum systems in a common, structured, environment we…

Help me understand this report

View preprint versions

Search citation statements

Paper Sections

Select...

2

1

1

Citation Types

0

21

0

Year Published

2020

2021

Publication Types

Select...

3

2

Relationship

2

3

Authors

Journals

(21 citation statements)

(57 reference statements)

0

21

0

“…Spurred by the growing interest in quantum information science, there have been many investigations of non-Markovian open quantum systems, e.g., single atom(s) in front of a mirror [30][31][32][33][34] or distant atoms coupled locally to the same environment [35][36][37][38][39][40][41][42][43]. The physical origin of the non-Markovianity is typically the coupling to a structured bath causing information backflow from the environment [44][45][46]. These systems can exhibit nonexponential relaxation [47,48] and bound states [34,[49][50][51][52][53][54][55][56][57][58][59][60], which can be harnessed for quantum simulations [61,62].…”

confidence: 99%

“…Spurred by the growing interest in quantum information science, there have been many investigations of non-Markovian open quantum systems, e.g., single atom(s) in front of a mirror [30][31][32][33][34] or distant atoms coupled locally to the same environment [35][36][37][38][39][40][41][42][43]. The physical origin of the non-Markovianity is typically the coupling to a structured bath causing information backflow from the environment [44][45][46]. These systems can exhibit nonexponential relaxation [47,48] and bound states [34,[49][50][51][52][53][54][55][56][57][58][59][60], which can be harnessed for quantum simulations [61,62].…”

confidence: 99%

“…The only information kept about the environment is its correlation function, or equivalently its spectral density. The evolution of the system's density matrix can then be described, for example, by an approximate weak-coupling master equation [1] or exactly using a process tensor [17] or a tensor network representation of the influence functional as in the time-evolving matrix product operator (TEMPO) method [18,19]. Indeed, a process tensor can be extracted from the TEMPO method [20] and this can lead to still more efficient calculations [21].…”

confidence: 99%

“…The remaining environmental degrees of freedom are then captured through a residual environment, which can be treated to second order using a Born-Markov master equation [32,64]. This treatment allows one to access strong coupling and highly non-Markovian regimes with the conceptual simplicity of a master equation, and little computational cost [65]. In this section we shall give an outline of the RC mapping and the subsequent derivation of the master equation.…”

confidence: 99%