Nonequilibrium non-Markovian steady states in open quantum many-body systems: Persistent oscillations in Heisenberg quantum spin chains

Finsterhölzl, Regina; Katzer, Manuel; Carmele, Alexander

doi:10.1103/physrevb.102.174309

Cited by 11 publications

(3 citation statements)

References 113 publications

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“…In this Letter, we demonstrate that commonly applied sampling techniques are highly unfavorable for the training of RBMs representing asymmetric open quantum systems, i.e., systems without symmetries of translational [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35]. First, we provide converging results for a symmetric scenario and further improve computational efficiency by proposing an adjustment to the default Metropolis sampling approach.…”

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confidence: 87%

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Sampling asymmetric open quantum systems for artificial neural networks

Kästle,

Carmele

2020

Preprint

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confidence: 87%

“…An isotropic Heisenberg chain featuring N sites, next-neighbor coupling and open boundary conditions is subject to both incoherent dissipation and driving on all sites. The corresponding Hamiltonian is given by [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35]…”

mentioning

confidence: 99%

Sampling asymmetric open quantum systems for artificial neural networks

Kästle,

Carmele

2020

Preprint

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“…[36][37][38] Here we adopt the definition based on the amount of information exchange between the open system and its environment. [39][40][41][42] Furthermore, recent research has extended to more complex non-Markovian systems, such as driven system, [43] spin chains, [44] and two excitation subspaces. [45] In this paper we study a two-level atom interacting with the field modes of a semi-infinite rectangular waveguide, where the finite end is assumed to be a perfect mirror.…”

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confidence: 99%

Non-Markovianity of an atom in a semi-infinite rectangular waveguide

Zeng

Song

et al. 2023

Chinese Phys. B

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We investigate the non-Markovianity (NM) of a waveguide QED with a two-level atom as the system and a semi-infinite rectangular waveguide as the environment, where the transverse magnetic (TM$_{mn}$) modes define the quantum channels of guided photons. The perfect mirror imposed by the finite end exerts a retarded feedback mechanism to allow for information backflow, which leads to NM dynamics. For the energy separation of the atom far away from the cutoff frequencies of transverse modes, the delay differential equations are obtained with single-excitation initial in the atom. Our attention is focused on the effects of multiple quantum channels involved in guiding photons on the degree of non-Markovian behavior. An asymptotic value of the non-Markovianity $\mathcal{N}_{1}$ can be found as the atom-mirror distance is large enough, however, the asymptotic value of $\mathcal{N}_{2}$ of the atom interacting with the effective double-modes is lower than that of the atom interacting with the effective single-mode. We also show that $\mathcal{N}_{1}$ is a constant, and the analytical expression for $\mathcal{N}_{2}$ is related to the parameters associated with the modes, which is related to the interference of the two modes.

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Unified framework for open quantum dynamics with memory

Ivander,

Lindoy,

Lee

2024

Nat Commun

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The dynamics of quantum systems coupled to baths are typically studied using the Nakajima-Zwanzig memory kernel ($${{{\bf{{{{\mathcal{K}}}}}}}}$$ K ) or the influence functions (I), particularly when memory effects are present. Despite their significance, formal connections between the two have not been explicitly known. We establish their connections by examining the system propagator for a N-level system linearly coupled to Gaussian baths with various types of system-bath coupling. For a certain class of problems, we devised a non-perturbative, diagrammatic approach to construct $${{{\bf{{{{\mathcal{K}}}}}}}}$$ K from I for (driven) systems interacting with Gaussian baths, bypassing conventional projection-free dynamics inputs. Our work provides a way to interpret approximate path integral methods in terms of approximate memory kernels. Moreover, it offers a Hamiltonian learning procedure to extract the bath spectral density from reduced system trajectories, opening new avenues in quantum sensing and engineering. The insights we provide advance our understanding of non-Markovian dynamics and will serve as a stepping stone for future theoretical and experimental developments in this area.

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Nonequilibrium non-Markovian steady states in open quantum many-body systems: Persistent oscillations in Heisenberg quantum spin chains

Cited by 11 publications

References 113 publications

Sampling asymmetric open quantum systems for artificial neural networks

Sampling asymmetric open quantum systems for artificial neural networks

Non-Markovianity of an atom in a semi-infinite rectangular waveguide

Unified framework for open quantum dynamics with memory

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