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…
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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