This article reviews theoretical and experimental advances in Efimov physics, an array of
quantum few-body and many-body phenomena arising for particles interacting via short …

Particles with short-range interactions and a large scattering length have universal low-
energy properties that do not depend on the details of their structure or their interactions at …

In this Letter, we show that the classical SO (2, 1) symmetry of a harmonically trapped Fermi
gas in two dimensions is broken by quantum effects. The anomalous correction to the …

A number of physical systems exhibit a particular form of asymptotic conformal invariance:
within a particular domain of distances, they are characterized by a long-range conformal …

Conformal symmetry heavily constrains the dynamics of nonrelativistic quantum gases tuned
to a nearby quantum critical point. One important consequence of this symmetry is that …

It has been noticed that for a large class of cosmological models, the gauge fixing of the time-
reparametrization invariance does not completely fix the clock. Instead, the system enjoys a …

The origin of the anomalies is analyzed. It is shown that they are due to the fact that the
generators of the symmetry do not leave the domain of definition of the Hamiltonian invariant …

Abstract Focusing on Bethe-Ansatz integrable models, robust to both time-reversal symmetry
breaking and disorder, we consider the Russian Doll Model (RDM) for finite system sizes …

ABSTRACT A path-integral approach is used to study the spectral properties of the
generators of the SO (2, 1) symmetry of conformal quantum mechanics (CQM). In particular …

Engineering lattice models with tailored inter-site tunnelings and onsite energies could
synthesize essentially arbitrary Riemannian surfaces with highly tunable local curvatures …