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Quantum Simulation Open Quantum Systems Decoherence

The atomic damping basis and the collective decay of interacting two-level atoms

arXiv
Authors: W. Alvarez-Giron, P. Barberis-Blostein

Year

2020

Paper ID

21221

Status

Preprint

Abstract Read

~2 min

Abstract Words

119

Citations

N/A

Abstract

We find analytical solutions to the evolution of interacting two-level atoms when the master equation is symmetric under the permutation of atomic labels. The master equation includes atomic independent dissipation. The method to obtain the solutions is: First, we use the system symmetries to describe the evolution in an operator space whose dimension grows polynomially with the number of atoms. Second, we expand the solutions in a basis composed of eigenvectors of the dissipative part of the master equation that models the independent dissipation of the atoms. This atomic damping basis is an atomic analog to the damping basis used for bosonic fields. The solutions show that the system decays as a sum of sub- and super-radiant exponential terms.

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  • We find analytical solutions to the evolution of interacting two-level atoms when the master equation is symmetric under the permutation of atomic labels.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2008.11056 [2] arXiv https://arxiv.org/abs/2008.11056 [3] Publisher https://arxiv.org/abs/2008.11056

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