Fractons from confinement in one dimension

Abstract

Recent work has shown that two seemingly different physical mechanisms, namely fracton behavior and confinement, can give rise to non-ergodicity in one-dimensional quantum many-body systems. In this work, we demonstrate an intrinsic link between these two mechanisms by studying the dynamics of one-dimensional confining theories, such as a U(1) gauge theory and a quantum Ising model. We show that, within certain parameter regimes, these models exhibit effective fracton dynamics, characterized by immobility of stable single-particle excitations and free motion of dipolar bound states. By perturbatively integrating out the linearly confining field, we obtain an effective fracton Hamiltonian for the confined charges which exhibits conservation of dipole moment. We discuss an intuitive understanding of these results in terms of the motion of the confining strings, leading to potential extensions to higher dimensions. We thereby interpret recent observations of nonthermal eigenstates and glassy dynamics in confining theories in terms of corresponding results in the fracton literature.

References in corpus (39)

• Chaos and Quantum Thermalization
• Thermalization and its mechanism for generic isolated quantum systems
• Probing many-body dynamics on a 51-atom quantum simulator
• Many body localization and thermalization in quantum statistical mechanics
• Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
• Quantum many-body scars
• Interacting electrons in disordered wires: Anderson localization and low-temperature transport
• Quantum criticality in an Ising chain: experimental evidence for emergent E8 symmetry
• Local stabilizer codes in three dimensions without string logical operators
• Fracton Topological Order, Generalized Lattice Gauge Theory and Duality
• Quantum Glassiness
• Fractons
• Quantum scarred eigenstates in a Rydberg atom chain: entanglement, breakdown of thermalization, and stability to perturbations
• A New Kind of Topological Quantum Order: A Dimensional Hierarchy of Quasiparticles Built from Stationary Excitations
• Subdimensional Particle Structure of Higher Rank U(1) Spin Liquids
• Emergent SU(2) dynamics and perfect quantum many-body scars
• Entanglement of Exact Excited States of AKLT Models: Exact Results, Many-Body Scars and the Violation of Strong ETH
• Real time confinement following a quantum quench to a non-integrable model
• Systematic Construction of Counterexamples to the Eigenstate Thermalization Hypothesis
• Exact Quantum Many-Body Scar States in the Rydberg-Blockaded Atom Chain
• Exact Excited States of Non-Integrable Models
• Non-integrable Quantum Field Theories as Perturbations of Certain Integrable Models
• From Bloch Oscillations to Many Body Localization in Clean Interacting Systems
• Glassy quantum dynamics in translation invariant fracton models
• Many-body localization dynamics from gauge invariance
• Non-integrable aspects of the multi-frequency Sine-Gordon model
• Nonthermal states arising from confinement in one and two dimensions
• Localization in fractonic random circuits
• Signatures of rare states and thermalization in a theory with confinement
• Fracton Topological Order from Nearest-Neighbor Two-Spin Interactions and Dualities
• Dynamical scar states in driven fracton systems
• Topological many-body scar states in dimensions 1, 2, and 3
• Suppression of transport in non-disordered quantum spin chains due to confined excitations
• Bound states and E_8 symmetry effects in perturbed quantum Ising chains
• How does a locally constrained quantum system localize?
• Glassy Dynamics from Quark Confinement: Atomic Quantum Simulation of Gauge-Higgs Model on Lattice
• Holographic Quenches in a Confined Phase
• Kink Confinement and Supersymmetry
• Mott glass from localization and confinement

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• Confinement and lack of thermalization after quenches in the bosonic Schwinger model
• False vacuum decay in quantum spin chains
• Confined phases of one-dimensional spinless fermions coupled to $Z_2$ gauge theory
• Entanglement Oscillations near a Quantum Critical Point
• Scattering of mesons in quantum simulators
• Discrete time-crystalline response stabilized by domain-wall confinement
• Fragmentation and emergent integrable transport in the weakly tilted Ising chain
• Many-body localization in tilted and harmonic potentials
• Non-adiabatic dynamics across a first order quantum phase transition: Quantized bubble nucleation
• Entanglement dynamics in confining spin chains
• Quantum phases of two-dimensional ${\mathbb{Z}}_2$ gauge theory coupled to single-component fermion matter
• Emergent Bloch oscillations in a kinetically constrained Rydberg spin lattice
• Emergent symmetries and slow quantum dynamics in a Rydberg-atom chain with confinement
• Homogeneous Floquet time crystal from weak ergodicity breaking
• Quenches and confinement in a Heisenberg-Ising spin ladder
• Fractons from frustration in hole-doped antiferromagnets
• Confinement in the spectrum of a Heisenberg-Ising spin ladder
• Fractons from a liquid of singlet pairs
• Emergent dipole moment conservation and subdiffusion in tilted chains
• Violation of Eigenstate Thermalization Hypothesis in Quantum Field Theories with Higher-Form Symmetry
• Non-Fermi Liquids from Dipolar Symmetry Breaking
• Deformed Fredkin model for the $\nu =5/2$ Moore-Read state on thin cylinders
• Many-body localization in a quantum gas with long-range interactions and linear external potential
• Fractionalized holes in one-dimensional ${\mathbb{Z}}_2$ gauge theory coupled to fermion matter -- deconfined dynamics and emergent integrability
• Quivers, Lattice Gauge Theories and Fractons
• Universality in the tripartite information after global quenches: spin flip and semilocal charges
• (Four) Dual Plaquette 3D Ising Models
• Non-stationarity and Dissipative Time Crystals: Spectral Properties and Finite-Size Effects
• A stabilizer code model with non-invertible symmetries: Strange fractons, confinement, and non-commutative and non-Abelian fusion rules
• Localization and melting of interfaces in the two-dimensional quantum Ising model
• Meson dynamics from locally exciting a particle-conserving $Z_2$ lattice gauge theory
• Constrained motions and slow dynamics in one-dimensional bosons with double-well dispersion