Spontaneous symmetry breaking is a ubiquitous phenomenon in nature. One of the defining
features of symmetry-broken phases is that the large system size limit and the vanishing …

The O (2) model in Euclidean space-time is the zero-gauge-coupling limit of the compact
scalar quantum electrodynamics. We obtain a dual representation of it called the charge …

Understanding nonequilibrium systems and the consequences of irreversibility for the
system's behavior as compared to the equilibrium case, is a fundamental question in …

We propose a family of Abelian quantum Hall states termed the nondiagonal states, which
arise at filling factors ν= p/2 q for bosonic systems and ν= p/(p+ 2 q) for fermionic systems …

Motivated by recent attempts to quantum simulate lattice models with continuous Abelian
symmetries using discrete approximations, we define an extended-O (2) model by adding a …

We propose and benchmark a modified time-evolving block decimation algorithm that uses
a truncation scheme based on the QR decomposition instead of the singular value …

We study a duality transformation from the gauge-invariant subspace of a ZN lattice gauge
theory on a two-leg ladder geometry to an N-clock model on a single chain. The main …

Under the perspective of realizing analog quantum simulations of lattice gauge theories,
ladder geometries offer an intriguing playground, relevant for ultracold atom experiments …

We study systems of staggered boson Hamiltonians in a one dimensional lattice and in
particular how the translation symmetry by one unit in these systems is in reality a …

We explore a large $ N $ generalization of the Kitaev model on the honeycomb lattice with a
simple nearest-neighbor interacting Hamiltonian. In particular, we focus on the $\mathbb {Z} …