This article reviews experimental and theoretical work on Bose-Einstein condensation in
quantum magnets. These magnets are natural realizations of gases of interacting bosons …

We study the phenomenon of Hilbert space fragmentation in isolated Hamiltonian and
Floquet quantum systems using the language of commutant algebras, the algebra of all …

An algebraic theory of dualities is developed based on the notion of bond algebras. It deals
with classical and quantum dualities in a unified fashion explaining the precise connection …

In relativistic quantum field theory, information propagation is bounded by the speed of light.
No such limit exists in the non-relativistic case, although in real physical systems, short …

We present a systematic recipe for generating and classifying duality transformations in one-
dimensional quantum lattice systems. Our construction emphasizes the role of global …

We investigate the simulation of fermionic systems on a quantum computer. We show in
detail how quantum computers avoid the dynamical sign problem present in classical …

Physical systems, characterized by an ensemble of interacting constituents, can be
represented and studied by different algebras of operators (observables). For example, a …

ADAPT-VQE is a robust algorithm for hybrid quantum-classical simulations of quantum
chemical systems on near-term quantum computers. While its iterative process …

Certain disorder-free Hamiltonians can be nonergodic due to a strong fragmentation of the
Hilbert space into disconnected sectors. Here, we characterize such systems by introducing …

The Mpemba effect was originally referred to as the faster icing of a higher-temperature
system than a lower-temperature system, and was later generalized to anomalous decays of …