The law of reciprocity in acoustics and elastodynamics codifies a relation of symmetry
between action and reaction in fluids and solids. In its simplest form, it states that the …

A non-Hermitian system can exhibit extensive sensitivity of its complex energy spectrum to
the imposed boundary conditions, which is beyond any known phenomenon from Hermitian …

Topological phases of matter have sparked an immense amount of activity in recent
decades. Topological materials are classified by topological invariants that act as a non …

A Thouless pump transports an integer amount of charge when pum** adiabatically
around a singularity. We study the splitting of such a critical point into two separate critical …

Floquet topological insulators have inspired analogues in photonics, optics, and acoustics,
in which nonreciprocal wave propagation in time-modulated materials is achieved due to the …

We report on the experimental implementation of a spin pump with ultracold bosonic atoms
in an optical superlattice. In the limit of isolated double wells, it represents a 1D dynamical …

We study Thouless pumps, ie, adiabatic topological transport, in an interacting spin chain
described by the dimerized XXZ Hamiltonian. In the noninteracting case, quantized …

A topological pump, a quantum pump protected by the bulk topology, enables the robust
quantized transport of particles (or waves) when the system parameters are varied in a cyclic …

A general theory of the tilting of dispersion bands in phononic crystals whose properties are
being slowly and periodically modulated in space and time is established. The ratio of tilt to …

We show how to implement the unidirectional topological excitation transmission in the Rice-
Mele model. We find that the unidirectional excitation transmissions can be implemented via …