The theory of entanglement provides a fundamentally new language for describing
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …

Abstract The Bose–Einstein condensate (BEC) is a fascinating state of matter predicted to
occur for particles obeying Bose statistics. Although the BEC has been observed with …

NATURE abounds with phase transitions. The boiling and freezing of water are everyday
examples of phase transitions, as are more exotic processes such as superconductivity and …

We discuss the exact non-invertible Kramers-Wannier symmetry of 1+ 1d lattice models on a
tensor product Hilbert space of qubits. This symmetry is associated with a topological defect …

Magnetic susceptibility, Cu NQR, and high-filed magnetization have been measured in
polycrystalline SrCu 2 (BO 3) 2 having a two-dimensional (2D) orthogonal network of Cu …

The magnetic energy levels of a given magnetic solid are closely packed in energy because
the interactions between magnetic ions are weak. Thus, in describing its magnetic …

We analyze the effect of quenched disorder on spin-1/2 quantum magnets in which
magnetic frustration promotes the formation of local singlets. Our results include a theory for …

In metals, electrons in a magnetic field undergo cyclotron motion, leading to oscillations in
physical properties called quantum oscillations. This phenomenon has never been seen in a …

In combination with Laughlin's treatment of the quantized Hall conductivity, the Lieb-Schultz-
Mattis argument is extended to quantum many-particle systems (including quantum spin …

A system with charge conservation and lattice translation symmetry has a well-defined filling
ν, which is a real number representing the average charge per unit cell. We show that if ν is …