Since the achievement of quantum degeneracy in gases of chromium atoms in 2004, the
experimental investigation of ultracold gases made of highly magnetic atoms has …

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 …

Supersolid states simultaneously feature properties typically associated with a solid and with
a superfluid. Like a solid, they possess crystalline order, manifesting as a periodic …

In quantum mechanical many-body systems, long-range and anisotropic interactions
promote rich spatial structure and can lead to quantum frustration, giving rise to a wealth of …

By combining theory and experiments, we demonstrate that dipolar quantum gases of both
Er 166 and Dy 164 support a state with supersolid properties, where a spontaneous density …

The competition of dipole-dipole and contact interactions leads to exciting new physics in
dipolar gases, well illustrated by the recent observation of quantum droplets and rotons in …

Quantum fluctuations can stabilize Bose–Einstein condensates (BEC) against the mean-
field collapse. Stabilization of the condensate has been observed in quantum degenerate …

We study theoretically and experimentally the emergence of supersolid properties in a
dipolar Bose-Einstein condensate. The theory reveals a ground state phase diagram with …

Supersolidity combines superfluid flow with long-range spatial periodicity of solids, two
properties that are often mutually exclusive. The original discussion of quantum crystals and …

The concept of a supersolid state combines the crystallization of a many-body system with
dissipationless flow of the atoms from which it is built. This quantum phase requires the …