Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
We review two important non-perturbative approaches for extracting the physics of low-
dimensional strongly correlated quantum systems. Firstly, we start by providing a …
dimensional strongly correlated quantum systems. Firstly, we start by providing a …
Coupled-wire constructions: a Luttinger liquid approach to topology
T Meng - The European Physical Journal Special Topics, 2020 - Springer
Coupled-wire constructions use bosonization to analytically tackle the strong interactions
underlying fractional topological states of matter. We give an introduction to this technique …
underlying fractional topological states of matter. We give an introduction to this technique …
Easing the Monte Carlo sign problem
Quantum Monte Carlo (QMC) methods are the gold standard for studying equilibrium
properties of quantum many-body systems. However, in many interesting situations, QMC …
properties of quantum many-body systems. However, in many interesting situations, QMC …
Quantum spin liquids bootstrapped from Ising criticality in Rydberg arrays
Arrays of Rydberg atoms constitute a highly tunable, strongly interacting venue for the
pursuit of exotic states of matter. We develop a strategy for accessing a family of …
pursuit of exotic states of matter. We develop a strategy for accessing a family of …
Dimensional reduction of Kitaev spin liquid at quantum criticality
We investigate the fate of the Kitaev spin liquid (KSL) under the influence of an external
magnetic field h in the [001] direction and upon tuning bond anisotropy of the Kitaev …
magnetic field h in the [001] direction and upon tuning bond anisotropy of the Kitaev …
Ground-state degeneracy of non-Abelian topological phases from coupled wires
We construct a family of two-dimensional non-Abelian topological phases from coupled
wires using a non-Abelian bosonization approach. We then demonstrate how to determine …
wires using a non-Abelian bosonization approach. We then demonstrate how to determine …
Model of chiral spin liquids with Abelian and non-Abelian topological phases
We present a two-dimensional lattice model for quantum spin-1/2 for which the low-energy
limit is governed by four flavors of strongly interacting Majorana fermions. We study this low …
limit is governed by four flavors of strongly interacting Majorana fermions. We study this low …
Sampling and the complexity of nature
D Hangleiter - arXiv preprint arXiv:2012.07905, 2020 - arxiv.org
Randomness is an intrinsic feature of quantum theory. The outcome of any quantum
measurement will be random, sampled from a probability distribution that is defined by the …
measurement will be random, sampled from a probability distribution that is defined by the …
Unification of parton and coupled-wire approaches to quantum magnetism in two dimensions
E Leviatan, DF Mross - Physical Review Research, 2020 - APS
The fractionalization of microscopic degrees of freedom is a remarkable manifestation of
strong interactions in quantum many-body systems. Analytical studies of this phenomenon …
strong interactions in quantum many-body systems. Analytical studies of this phenomenon …
Fractional Spin Quantum Hall Effect in Weakly Coupled Spin Chain Arrays
Topological magnetic insulators host chiral gapless edge modes. In the presence of strong
interaction effects, the spin of these modes may fractionalize. Studying a 2D array of coupled …
interaction effects, the spin of these modes may fractionalize. Studying a 2D array of coupled …