Condensed Matter Theory of Dipolar Quantum Gases
M. A. Baranov, M. Dalmonte, G. Pupillo, P. Zoller

TL;DR
This paper reviews recent theoretical advances in understanding the many-body physics of ultracold dipolar gases, highlighting their unique anisotropic long-range interactions and relevance to experimental systems.
Contribution
It provides a comprehensive summary of theoretical studies on various dipolar quantum gases, including weakly and strongly interacting regimes and low-dimensional geometries.
Findings
Analysis of weakly interacting Bose and Fermi gases with dipolar interactions
Insights into multilayer and low-dimensional dipolar systems
Connections between theory and recent experimental realizations
Abstract
Recent experimental breakthroughs in trapping, cooling and controlling ultracold gases of polar molecules, magnetic and Rydberg atoms have paved the way toward the investigation of highly tunable quantum systems, where anisotropic, long-range dipolar interactions play a prominent role at the many-body level. In this article we review recent theoretical studies concerning the physics of such systems. Starting from a general discussion on interaction design techniques and microscopic Hamiltonians, we provide a summary of recent work focused on many-body properties of dipolar systems, including: weakly interacting Bose gases, weakly interacting Fermi gases, multilayer systems, strongly interacting dipolar gases and dipolar gases in 1D and quasi-1D geometries. Within each of these topics, purely dipolar effects and connections with experimental realizations are emphasized.
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