In this review recent investigations are summarized of many-body quantum systems with
long-range interactions, which are currently realized in Rydberg atom arrays, dipolar …

Experimental progress in atomic, molecular, and optical platforms in the last decade has
stimulated strong and broad interest in the quantum coherent dynamics of many long-range …

We identify an unconventional algebraic scaling phase in the quantum dynamics of long-
range hop**, free fermions, which are exposed to continuous local measurements. The …

We theoretically study the dynamics of a transverse-field Ising chain with power-law
decaying interactions characterized by an exponent α, which can be experimentally realized …

We study scrambling in connection with multipartite entanglement dynamics in regular and
chaotic long-range spin chains, characterized by a well-defined semi-classical limit. For …

We review what is known, unknown, and expected about the mathematical properties of
Coulomb and Riesz gases. Those describe infinite configurations of points in R d interacting …

We review the general aspects of the concept of temperature in equilibrium and non-
equilibrium statistical mechanics. Although temperature is an old and well-established …

arxiv:2407.21194v1 [math-ph] 30 Jul 2024 Page 1 Lectures on Coulomb and Riesz Gases
Sylvia Serfaty arxiv:2407.21194v1 [math-ph] 30 Jul 2024 Page 2 Page 3 Contents Preface 5 …

Energy transfer in small nano-sized systems can be very different from that in their
macroscopic counterparts due to reduced dimensionality, interaction with surfaces, disorder …

We review recent work on systems with multiple interacting-particles having the dynamical
feature of stochastic resetting. The interplay of time scales related to inter-particle …