Recent experimental developments in diverse areas—ranging from cold atomic gases to
light-driven semiconductors to microcavity arrays—move systems into the focus which are …

After a decade and a half of research motivated by the accelerating universe, theory and
experiment have reached a certain level of maturity. The development of theoretical models …

Out of equilibrium, a lack of reciprocity is the rule rather than the exception. Non-reciprocity
occurs, for instance, in active matter,,,,–, non-equilibrium systems,–, networks of neurons …

This review summarizes recent advances in our understanding of anomalous transport in
spin chains, viewed through the lens of integrability. Numerical advances, based on tensor …

Perhaps the most important aspect of symmetry in physics is the idea that a state does not
need to have the same symmetries as the theory that describes it. This phenomenon is …

Anomalous finite-temperature transport has recently been observed in numerical studies of
various integrable models in one dimension; these models share the feature of being …

In this review we study quantum field theories and conformal field theories with global
symmetries in the limit of large charge for some of the generators of the symmetry group. At …

A bstract We investigate the low-energy dynamics of systems with pseudo-spontaneously
broken U (1) symmetry and Goldstone phase relaxation. We construct a hydrodynamic …

We analyze the band topology of acoustic phonons in 2D materials by considering the
interplay between spatial/internal symmetries and additional constraints that arise from the …

The effective Lagrangian for Nambu-Goldstone bosons (NGBs) in systems without Lorentz
invariance has a novel feature that some of the NGBs are canonically conjugate to each …