Dynamical scaling of correlations generated by short- and long-range dissipation

• URL: http://arxiv.org/abs/2110.09547v3
• Date: Mon, 23 May 2022 20:52:33 GMT
• Title: Dynamical scaling of correlations generated by short- and long-range dissipation
• Authors: Kushal Seetharam, Alessio Lerose, Rosario Fazio, Jamir Marino
• Abstract summary: We consider systems initially in an unrelated state, and find that correlations and contract in a novel pattern intimately related to both the dissipative nature of the dynamical channel and widen its profile. Our work aims at extending the study of correlation dynamics to purely dissipative quantum simulators and compare them with the established paradigm of spreading in hamiltonian systems.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: We study the spatio-temporal spreading of correlations in an ensemble of spins due to dissipation characterized by short- and long-range spatial profiles. We consider systems initially in an uncorrelated state, and find that correlations widen and contract in a novel pattern intimately related to both the dissipative nature of the dynamical channel and its spatial profile. Additionally, we make a methodological contribution by generalizing non-equilibrium spin-wave theory to the case of dissipative systems and derive equations of motion for any translationally invariant spin chain whose dynamics can be described by a combination of Hamiltonian interactions and dissipative Lindblad channels. Our work aims at extending the study of correlation dynamics to purely dissipative quantum simulators and compare them with the established paradigm of correlations spreading in hamiltonian systems.

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