The physics of one-dimensional interacting bosonic systems is reviewed. Beginning with
results from exactly solvable models and computational approaches, the concept of bosonic …

Self-localized nonlinear excitations (solitons, polarons, and bipolarons) are fundamental
and inherent features of quasi-one-dimensional conducting polymers. Their signatures are …

State-of-the-art machine learning techniques promise to become a powerful tool in statistical
mechanics via their capacity to distinguish different phases of matter in an automated way …

The “sign problem”(SP) is a fundamental limitation to simulations of strongly correlated
matter. It is often argued that the SP is not intrinsic to the physics of particular Hamiltonians …

Roughly at the time (1987) when the manuscript for the first three chapters of the present
book was completed, several breakthroughs occurred. They had a profound influence on the …

These lecture notes introduce quantum spin systems and several computational methods for
studying their ground‐state and finite‐temperature properties. Symmetry‐breaking and …

This book explains the fundamental concepts and theoretical techniques used to understand
the properties of quantum systems having large numbers of degrees of freedom. A number …

2.1 The boson problem 10 2.1. 1 The с= 0 case 10 2.1. 2 The с= oo case 11 2.1. 3 Scattering
states of Bose particles with finite interaction 12 2.1. 4 Periodic boundary conditions 14 2.1 …

We have studied the two-dimensional Hubbard model on a square lattice with nearest-
neighbor hop**. We first discuss the properties of the model within the mean-field …

Obtaining accurate properties of many-body interacting quantum matter is a long-standing
challenge in theoretical physics and chemistry, rooting into the complexity of the many-body …