Reestablishment of SO(4) symmetry in the relativistic Coulomb problem from ${\mathscr{N}}=4$ SYM

Alvarez‐Jimenez, Javier; Cortese, Ignacio; Garcı́a, J. Antonio; Gutiérrez‐Ruiz, Daniel; Vergara, J. David

doi:10.1088/1742-6596/1194/1/012057

J. Phys.: Conf. Ser.

2019

DOI: 10.1088/1742-6596/1194/1/012057

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Reestablishment of SO(4) symmetry in the relativistic Coulomb problem from ${\mathscr{N}}=4$ SYM

Javier Alvarez‐Jimenez

Ignacio Cortese

J. Antonio Garcı́a

et al.

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“…Alvarez‐Jimenez et al. reports, in their original article, a new approach to obtain the classical analogs of the quantum metric tensor and the Berry curvature. They show how this approach is advantageous over other procedures for classical systems that correspond to quantum systems with bosonic and fermionic degrees of freedom.…”

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Dynamic Quantum Matter

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We are witnessing rapid developments in the field of quantum materials with the focus on some of the most profound concepts in condensed matter, including entangled orders, quantum coherence, and quantum topology. Quantum correlations in these materials naturally reveal themselves in the time domain, since their temporal evolution is governed by the full Hamiltonian, which contains multiple interactions. Therefore, nonequilibrium quantum dynamics emerges as a design principle to create desired quantum materials and functionalities. We see a growing focus on dynamics as a way to understand and control the fundamental physical processes that emerge due to quantum coherence of entangled quantum matter. Commensurate with the developments in theory and modeling of quantum materials, we see a rapid rise of new probes for the examination of quantum matter. These new probes include ultra-fast optics, free-electron lasers, and new neutron scattering facilities with capabilities to probe quantum matter at the increasingly short time scale while maintaining high-spatial resolution. Reflecting on recent progress and excitement in the field, we organized a workshop on Dynamic Quantum Matter Dec 10-14, 2018 at the Nordic Institute for Theoretical Physics (NORDITA, https://indico.fysik.su.se/event/6504/). As a result of this conference, we put together a special issue of the Annalen der Physik on "Dynamic Quantum Matter". We summarize the contributions in this volume. This special issue contains a rapid research letter, four feature articles, five original papers, and a perspective on the dynamics of various forms of quantum matter and materials ranging from superconductivity to magnetism, bosonic and fermionic Dirac materials ferro-states in 2D materials.

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Reestablishment of SO(4) symmetry in the relativistic Coulomb problem from ${\mathscr{N}}=4$ SYM

Cited by 1 publication

References 15 publications

Dynamic Quantum Matter

Dynamic Quantum Matter

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