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Bulletin of the American Physical Society

Efficient approaches in DMFT for multi-degree-of-freedom systems

Ryota Mizuno, Masayuki Ochi, Kazuhiko Kuroki

Published Mar 16, 2021• 0 citations
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Although several impurity solvers in the dynamical mean field theory (DMFT) have been proposed, especially in multi-degree-of-freedom systems, there are practical difficulties arising from a trade-off between numerical costs and reliability. In this study, we re-interpret the iterative perturbation theory (IPT) from the perspective of the frequency dependence, and extend it such that costs and reliability can be compatible. From the same perspective, we also develop the methods in which the dual fermion calculation can be performed efficiently and can be combined with any impurity solver. We apply these methods to several models to evaluate their validity. We confirm that our methods show good agreements with the numerically exact continuous-time quantum Monte Carlo (CT-QMC) method in the local DMFT calculation, and can also capture important behaviors such as the pseudo gap in the DMFT + non-local calculation. In addition, the numerical costs are kept sufficiently small.
Entanglement in multiple degrees of freedom has many benefits over entanglement in a single one. The former enables quantum communication with higher channel capacity and more efficient quantum information processing and is compatible with diverse quantum networks. Establishing multi-degree-of-freedom entangled memories is not only vital for high-capacity quantum communication and computing, but also promising for enhanced violations of nonlocality in quantum systems. However, there have been yet no reports of the experimental realization of multi-degree-of-freedom entangled memories. Here we experimentally established hyper- and hybrid entanglement in multiple degrees of freedom, including path (K-vector) and orbital angular momentum, between two separated atomic ensembles by using quantum storage. The results are promising for achieving quantum communication and computing with many degrees of freedom.