We review the history of the parallel tempering simulation method. From its origins in data
analysis, the parallel tempering method has become a standard workhorse of …

We introduce the concept of directed loops in stochastic series expansion and path-integral
quantum Monte Carlo methods. Using the detailed balance rules for directed loops, we …

A review of the loop algorithm, its generalizations, and its relation to some other Monte Carlo
techniques is given. The loop algorithm is a quantum Monte Carlo procedure that employs …

Crystal point group symmetry is shown to protect Majorana fermions (MFs) in spinfull
superconductors (SCs). We elucidate the condition necessary to obtain MFs protected by the …

Tunneling spectroscopy has been performed on Sr 2 RuO 4 searching for the edge states
peculiar to topological superconductivity. Conductance spectra exhibit broad humps with …

Machine learning algorithms provide a new perspective on the study of physical
phenomena. In this Rapid Communication, we explore the nature of quantum phase …

In this paper we study the performance of the quantum adiabatic algorithm on random
instances of two combinatorial optimization problems, 3-regular 3-XORSAT and 3-regular …

Long-range interactions are relevant for a large variety of quantum systems in quantum
optics and condensed matter physics. In particular, the control of quantum–optical platforms …

Motivated by the recent discovery of an intermediate quantum critical phase between the
antiferromagnetic order and the Fermi liquid in the frustrated Kondo lattice CePdAl, we study …

We study the ground state properties of the one-dimensional extended Hubbard model at
half filling from the perspective of its particle reduced density matrix. We focus on the …