We review and extend, in a self-contained way, the mathematical foundations of numerical
simulation methods that are based on the use of random states. The power and versatility of …

Recent experiments on the S= 1 2 antiferromagnetic chain compound, Cu benzoate,
discovered an unexpected gap scaling as approximately the 2 3 power of an applied …

A systematic field-theory approach to electron spin resonance (ESR) in the S= 1/2 quantum
antiferromagnetic chain at low temperature T (compared to the exchange coupling J) is …

The idea of a localization of vibrational energy due to anharmonic effects was put forward
independently several times, in different fields, under different names, aiming at different …

Single-crystal magnetic susceptibility and specific heat studies of the one-dimensional
copper complex [PM· Cu (NO 3) 2·(H 2 O) 2] n (PM= pyrimidine) show that it behaves like a …

We study theoretically the nonlinear optical response of Tomonaga-Luttinger spin liquid in
the context of terahertz (THz) two-dimensional coherent spectroscopy (2DCS). Using the …

We theoretically study THz-light-driven high-harmonic generation (HHG) in the spin-liquid
states of the Kitaev honeycomb model with a magnetostriction coupling between spin and …

A “breather excitation” is observed directly by electron spin resonance in the quantum spin
chain Cu benzoate, in which an unexpected field-induced gap has recently been found. The …

We present analysis of the interacting quantum wire problem in the presence of magnetic
field and spin-orbital interaction. We show that an interesting interplay of Zeeman and spin …

We theoretically predict a nonequilibrium phase transition in quantum spin systems induced
by a laser, which provides a purely quantum-mechanical way of coherently controlling …