Matrix product states and projected entangled pair states: Concepts, symmetries, theorems
The theory of entanglement provides a fundamentally new language for describing
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …
Non-invertible symmetries and LSM-type constraints on a tensor product Hilbert space
We discuss the exact non-invertible Kramers-Wannier symmetry of 1+ 1d lattice models on a
tensor product Hilbert space of qubits. This symmetry is associated with a topological defect …
tensor product Hilbert space of qubits. This symmetry is associated with a topological defect …
Higher categorical symmetries and gauging in two-dimensional spin systems
We present a framework to systematically investigate higher categorical symmetries in two-
dimensional spin systems. Though exotic, such generalised symmetries have been shown …
dimensional spin systems. Though exotic, such generalised symmetries have been shown …
Sequential quantum circuits as maps between gapped phases
Finite-depth quantum circuits preserve the long-range entanglement structure in quantum
states and map between states within a gapped phase. To map between states of different …
states and map between states within a gapped phase. To map between states of different …
Dualities in one-dimensional quantum lattice models: symmetric Hamiltonians and matrix product operator intertwiners
We present a systematic recipe for generating and classifying duality transformations in one-
dimensional quantum lattice systems. Our construction emphasizes the role of global …
dimensional quantum lattice systems. Our construction emphasizes the role of global …
Dualities in one-dimensional quantum lattice models: topological sectors
It has been a long-standing open problem to construct a general framework for relating the
spectra of dual theories to each other. Here, we solve this problem for the case of one …
spectra of dual theories to each other. Here, we solve this problem for the case of one …
Lattice realizations of topological defects in the critical (1+ 1)-d three-state Potts model
A bstract Topological/perfectly-transmissive defects play a fundamental role in the analysis
of the symmetries of two dimensional conformal field theories (CFTs). In the present work …
of the symmetries of two dimensional conformal field theories (CFTs). In the present work …
Critical lattice model for a Haagerup conformal field theory
We use the formalism of strange correlators to construct a critical classical lattice model in
two dimensions with the Haagerup fusion category H 3 as input data. We present compelling …
two dimensions with the Haagerup fusion category H 3 as input data. We present compelling …
Exact emergent higher-form symmetries in bosonic lattice models
Although condensed matter systems usually do not have higher-form symmetries, we show
that, unlike 0-form symmetry, higher-form symmetries can emerge as exact symmetries at …
that, unlike 0-form symmetry, higher-form symmetries can emerge as exact symmetries at …
from via Holographic Tensor Network, and Precision Discretization of
We show that the path integral of conformal field theories in D dimensions (CFT D) can be
constructed by solving for eigenstates of a renormalization group (RG) operator following …
constructed by solving for eigenstates of a renormalization group (RG) operator following …