Stability of the symmetry-protected topological phase and Ising transitions in a disordered U(1) quantum link model on a ladder

Abstract

We revisit the U(1) quantum link model in a ladder geometry, finding, by finite-size scaling, that the critical exponent $\nu =1$ and the central charge $c=1/2$ are consistent with the Ising universality class for all phase transitions observed. A blind application of the Harris criterion would suggest that this criticality is lost in the presence of the disorder. It turns out not to be the case. For the disorder affecting ladder's rung hoppings only, we have found that the transitions survive disappearing only for quite strong disorder. The disorder in the ladder's legs destroys the nonzero mass phase criticality, while the symmetry-protected topological phase for zero mass survives a small disorder. The observed robustness against disorder is explained qualitatively using field-theoretic arguments.

arXiv commenta good one!

References in corpus (53)

• The density-matrix renormalization group in the age of matrix product states
• Entanglement Entropy and Quantum Field Theory
• Entanglement in quantum critical phenomena
• A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
• Entanglement spectrum of a topological phase in one dimension
• Symmetry protection of topological order in one-dimensional quantum spin systems
• On Geometric Entropy
• Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
• Symmetry Protected Topological phases of Quantum Matter
• Simulating Lattice Gauge Theories within Quantum Technologies
• Efficient numerical simulations with Tensor Networks: Tensor Network Python (TeNPy)
• Quantum Simulations of Lattice Gauge Theories using Ultracold Atoms in Optical Lattices
• Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories
• Floquet approach to ${\mathbb{Z}}_2$ lattice gauge theories with ultracold atoms in optical lattices
• Strong disorder RG approach of random systems
• Quantum Simulation for High Energy Physics
• Observation of gauge invariance in a 71-site Bose-Hubbard quantum simulator
• Boundary effects in the critical scaling of entanglement entropy in 1D systems
• Lattice gauge theories and string dynamics in Rydberg atom quantum simulators
• Lattice gauge theories simulations in the quantum information era
• Simulating Compact Quantum Electrodynamics with ultracold atoms: Probing confinement and nonperturbative effects
• Simulations of non-Abelian gauge theories with optical lattices
• The mass spectrum of the Schwinger model with Matrix Product States
• Ergodicity Breaking Transition in Finite Disordered Spin Chains
• Tensor networks for Lattice Gauge Theories and Atomic Quantum Simulation
• Optical Abelian Lattice Gauge Theories
• Lecture Notes of Tensor Network Contractions
• Matrix product states for gauge field theories
• Impurities in S=1/2 Heisenberg Antiferromagnetic Chains: Consequences for Neutron Scattering and Knight Shift
• Real-time Dynamics in U(1) Lattice Gauge Theories with Tensor Networks
• Digital Quantum Simulation of the Schwinger Model and Symmetry Protection with Trapped Ions
• Real Time Dynamics and Confinement in the ${\mathbb{Z}}_n$ Schwinger-Weyl lattice model for 1+1 QED
• Quantum simulation of the Schwinger model: A study of feasibility
• Density Induced Phase Transitions in the Schwinger Model: A Study with Matrix Product States
• Thermal evolution of the Schwinger model with Matrix Product Operators
• Confinement and lack of thermalization after quenches in the bosonic Schwinger model
• Hamiltonian simulation of the Schwinger model at finite temperature
• Lattice Quantum Electrodynamics in (3+1)-dimensions at finite density with Tensor Networks
• Confinement and string breaking for QED${}_2$ in the Hamiltonian picture
• Realistic scheme for quantum simulation of ${\mathbb{Z}}_2$ lattice gauge theories with dynamical matter in $(2+1)$D
• Two-dimensional quantum-link lattice Quantum Electrodynamics at finite density
• Encoding a one-dimensional topological gauge theory in a Raman-coupled Bose-Einstein condensate
• Engineering a U(1) lattice gauge theory in classical electric circuits
• Simulating (2+1)D SU(2) Yang-Mills Lattice Gauge Theory at finite density with tensor networks
• Hidden order and symmetry protected topological states in quantum link ladders
• Tensor Networks for Lattice Gauge Theories beyond one dimension: a Roadmap
• Deconfining disordered phase in two-dimensional quantum link models
• Breakdown of ergodicity in disordered U(1) lattice gauge theories
• Gauge theory description of Rydberg atom arrays with a tunable blockade radius
• Phase diagram of Rydberg-dressed atoms on two-leg square ladders: Coupling supersymmetric conformal field theories on the lattice
• Phase diagram of 1+1D Abelian-Higgs model and its critical point
• Spectral properties of critical 1+1D Abelian-Higgs model
• Fate of many-body localization in an Abelian lattice gauge theory