• Corpus ID: 222090719

Diffusive-to-ballistic crossover of symmetry violation in open many-body systems

@article{Halimeh2020DiffusivetoballisticCO,
  title={Diffusive-to-ballistic crossover of symmetry violation in open many-body systems},
  author={Jad C. Halimeh and Philipp Hauke},
  journal={arXiv: Quantum Gases},
  year={2020}
}
Conservation laws in a quantum many-body system play a direct role in its dynamic behavior. Understanding the effect of weakly breaking a conservation law due to coherent and incoherent errors is thus crucial, e.g., in the realization of reliable quantum simulators. In this work, we perform exact numerics and time-dependent perturbation theory to study the dynamics of \textit{symmetry violation} in quantum many-body systems with slight coherent (at strength $\lambda$) or incoherent (at strength… 

References

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Note that continuous symmetries have Lie-algebra generators, but group theory does define generators for discrete symmetries as well, and these can be connected to Lie algebras in certain cases