Hydrodynamics in long-range interacting systems with center-of-mass conservation

Abstract

In systems with a conserved density, the additional conservation of the center of mass (dipole moment) has been shown to slow down the associated hydrodynamics. At the same time, long-range interactions generally lead to faster transport and information propagation. Here, we explore the competition of these two effects and develop a hydrodynamic theory for long-range center-of-mass-conserving systems. We demonstrate that these systems can exhibit a rich dynamical phase diagram containing subdiffusive, diffusive, and superdiffusive behaviors, with continuously varying dynamical exponents. We corroborate our theory by studying quantum lattice models whose emergent hydrodynamics exhibit these phenomena.

arXiv comment8 + 6 pages, 4 + 3 figures

References in corpus (91)

• Quantum information with Rydberg atoms
• The physics of dipolar bosonic quantum gases
• Cold and Ultracold Molecules: Science, Technology, and Applications
• Many-Body Physics with Individually-Controlled Rydberg Atoms
• Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents
• Programmable Quantum Simulations of Spin Systems with Trapped Ions
• Non-local propagation of correlations in long-range interacting quantum systems
• Condensed Matter Theory of Dipolar Quantum Gases
• Emergent hydrodynamics in integrable quantum systems out of equilibrium
• Localization from Hilbert space shattering: from theory to physical realizations
• Operator spreading and the emergence of dissipative hydrodynamics under unitary evolution with conservation laws
• Local constraints can globally shatter Hilbert space: a new route to quantum information protection
• Quantum Many-Body Scars and Hilbert Space Fragmentation: A Review of Exact Results
• Ergodicity-breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians
• Finite-temperature transport in one-dimensional quantum lattice models
• Dipolar physics: A review of experiments with magnetic quantum gases
• Diffusive hydrodynamics of out-of-time-ordered correlators with charge conservation
• Spin diffusion from an inhomogeneous quench in an integrable system
• Hydrodynamics of operator spreading and quasiparticle diffusion in interacting integrable systems
• Bethe-Boltzmann Hydrodynamics and Spin Transport in the XXZ Chain
• Spin transport in a tunable Heisenberg model realized with ultracold atoms
• Observing non-ergodicity due to kinetic constraints in tilted Fermi-Hubbard chains
• Stark many-body localization
• Fracton hydrodynamics
• Kardar-Parisi-Zhang physics in the quantum Heisenberg magnet
• Quantum gas microscopy of Kardar-Parisi-Zhang superdiffusion
• Matrix product simulations of non-equilibrium steady states of quantum spin chains
• New frontiers with quantum gases of polar molecules
• Kinetic theory of spin diffusion and superdiffusion in XXZ spin chains
• Far-from-equilibrium spin transport in Heisenberg quantum magnets
• From Bloch Oscillations to Many Body Localization in Clean Interacting Systems
• Mott insulators in strong electric fields
• Lecture notes on Generalised Hydrodynamics
• Anomalous Diffusion in Dipole- and Higher-Moment Conserving Systems
• Statistical localization: from strong fragmentation to strong edge modes
• Microwave-engineering of programmable XXZ Hamiltonians in arrays of Rydberg atoms
• Subdiffusion and heat transport in a tilted 2D Fermi-Hubbard system
• Localization in fractonic random circuits
• Quantum Hall system in Tao-Thouless limit
• Kinetically constrained freezing transition in a dipole-conserving system
• Towards a statistical theory of transport by strongly-interacting lattice fermions
• Detection of Kardar-Parisi-Zhang hydrodynamics in a quantum Heisenberg spin-$1/2$ chain
• Quantum dynamics of thermalizing systems
• Half-Filled Lowest Landau Level on a Thin Torus
• Observing emergent hydrodynamics in a long-range quantum magnet
• Anomalous Subdiffusion from Subsystem Symmetries
• Energy transport in disordered classical spin chains
• Universal spin dynamics in infinite-temperature one-dimensional quantum magnets
• Dynamical scar states in driven fracton systems
• Probing site-resolved correlations in a spin system of ultracold molecules
• Strictly linear light cones in long-range interacting systems of arbitrary dimensions
• Superuniversality of superdiffusion
• Time-dependent variational principle in matrix-product state manifolds: pitfalls and potential
• Quaternion, harmonic oscillator, and high-dimensional topological states
• Strongly interacting ultracold polar molecules
• Multipole conservation laws and subdiffusion in any dimension
• One-Dimensional Theory of the Quantum Hall System
• The dipolar Bose-Hubbard model
• Kardar-Parisi-Zhang universality from soft gauge modes
• Emergent hydrodynamics in a strongly interacting dipolar spin ensemble
• Fractonic Superfluids
• An improved Lieb-Robinson bound for many-body Hamiltonians with power-law interactions
• Anomalous hydrodynamics in a class of scarred frustration-free Hamiltonians
• The operator Lévy flight: light cones in chaotic long-range interacting systems
• Non-local emergent hydrodynamics in a long-range quantum spin system
• Hydrodynamics in lattice models with continuous non-Abelian symmetries
• Correlated phases of bosons in tilted, frustrated lattices
• Random State Technology
• Fractonic Luttinger Liquids and Supersolids in a Constrained Bose-Hubbard Model
• Goldstone bosons and fluctuating hydrodynamics with dipole and momentum conservation
• Superdiffusive Energy Transport in Kinetically Constrained Models
• Improving the Lieb-Robinson bound for long-range interactions
• Dipole condensates in tilted Bose-Hubbard chains
• Fracton hydrodynamics without time-reversal symmetry
• Fractonic superfluids. (II). Condensing subdimensional particles
• Universal subdiffusion in strongly tilted many-body systems
• Operator backflow and the classical simulation of quantum transport
• Transport and entanglement growth in long-range random Clifford circuits
• Lieb Robinson bounds and out of time order correlators in a long range spin chain
• Quantum versus Classical Dynamics in Spin Models: Chains, Ladders, and Square Lattices
• Hydrodynamics of dipole-conserving fluids
• Exact solution for the filling-induced thermalization transition in a 1D fracton system
• Coupled Hydrodynamics in Dipole-Conserving Quantum Systems
• Spin transport in long-range interacting one-dimensional chain
• Hilbert space fragmentation produces a "fracton Casimir effect"
• Interacting Fermionic Atoms in Optical Lattices Diffuse Symmetrically Upwards and Downwards in a Gravitational Potential
• Emergent entropy production and hydrodynamics in quantum many-body systems
• Spin-chain description of fractional quantum Hall states in the Jain series
• Theory of Dipole Insulators
• Lieb Schultz Mattis-Type Theorems and Other Non-perturbative Results for Strongly Correlated Systems with Conserved Dipole Moments
• Topological Dipole Conserving Insulators and Multipolar Responses

Cited by in corpus (16)

• Generating Lattice Non-invertible Symmetries
• Diffusion constants from the recursion method
• Hierarchical hydrodynamics in long-range multipole-conserving systems
• Symmetries as Ground States of Local Superoperators: Hydrodynamic Implications
• Bosonic Quantum Breakdown Hubbard Model
• Signatures of Integrability and Exactly Solvable Dynamics in an Infinite-Range Many-Body Floquet Spin System
• Topological Dipole Insulator
• Fractonic superfluids. III. Hybridizing higher moments
• Infinite-component $BF$ field theory: Connection of fracton order, Toeplitz braiding, and non-Hermitian amplification
• Exact Solvability Of Entanglement For Arbitrary Initial State in an Infinite-Range Floquet System
• Entanglement dynamics from universal low-lying modes
• Relaxation and fluctuations of a mass- and dipole-conserving stochastic lattice gas
• Domain coarsening in fractonic systems: a cascade of critical exponents
• Dynamics in the presence of local symmetry-breaking impurities
• Preparing Code States via Seed-Entangler-Enriched Sequential Quantum Circuits: Application to Tetra-Digit Topological Error-Correcting Codes
• Hierarchy of degenerate stationary states in a boundary-driven dipole-conserving spin chain