Transport through interacting defects and lack of thermalisation
arXiv:2104.13887 · doi:10.21468/SciPostPhys.12.2.060
Abstract
We consider 1D integrable systems supporting ballistic propagation of excitations, perturbed by a localised defect that breaks most conservation laws and induces chaotic dynamics. Focusing on classical systems, we study an out-of-equilibrium protocol engineered activating the defect in an initially homogeneous and far from the equilibrium state. We find that large enough defects induce full thermalisation at their center, but nonetheless the outgoing flow of carriers emerging from the defect is non-thermal due to a generalization of the celebrated Boundary Thermal Resistance effect, occurring at the edges of the chaotic region. Our results are obtained combining ab-initio numerical simulations for relatively small-sized defects, with the solution of the Boltzmann equation, which becomes exact in the scaling limit of large, but weak defects.
arXiv comment21 pages, 7 figures
References in corpus (64)
- The density-matrix renormalization group in the age of matrix product states
- Many-body localization, thermalization, and entanglement
- Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
- Thermal conduction in classical low-dimensional lattices
- Quantum many-body scars
- Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents
- Emergent hydrodynamics in integrable quantum systems out of equilibrium
- Phase space representation of quantum dynamics
- Eigenstate Thermalization Hypothesis
- Fermionic transport in a homogeneous Hubbard model: Out-of-equilibrium dynamics with ultracold atoms
- Ergodicity-breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians
- Real time confinement following a quantum quench to a non-integrable model
- Hydrodynamic Diffusion in Integrable Systems
- Systematic Construction of Counterexamples to the Eigenstate Thermalization Hypothesis
- Spin transport in a tunable Heisenberg model realized with ultracold atoms
- Prethermalization and thermalization in models with weak integrability breaking
- Diffusion in generalized hydrodynamics and quasiparticle scattering
- Anomalous Diffusion in Dipole- and Higher-Moment Conserving Systems
- Super-diffusion in one-dimensional quantum lattice models
- Universal many-body response of heavy impurities coupled to a Fermi sea
- Dynamics of hard rods with initial domain wall state
- Bloch oscillations in the absence of a lattice
- Integrability of a disordered Heisenberg spin-1/2 chain
- Eigenstate Thermalization in a Locally Perturbed Integrable System
- Diffusive hydrodynamics from integrability breaking
- Quantum chaos: an introduction via chains of interacting spins-1/2
- Quasilocalized dynamics from confinement of quantum excitations
- Determination of the Nonequilibrium Steady State Emerging from a Defect
- Superuniversality of superdiffusion
- Non-Equilibrium Dynamics and Weakly Broken Integrability
- Hydrodynamics of weak integrability breaking
- Generalized hydrodynamics of classical integrable field theory: the sinh-Gordon model
- Local quenches with global effects in interacting quantum systems
- String-charge duality in integrable lattice models
- Superdiffusion from emergent classical solitons in quantum spin chains
- Dynamics and Bloch oscillations of mobile impurities in one-dimensional quantum liquids
- Thermalisation of a trapped one-dimensional Bose gas via diffusion
- Suppression of transport in non-disordered quantum spin chains due to confined excitations
- Energy transport between two integrable spin chains
- Low-frequency behavior of off-diagonal matrix elements in the integrable XXZ chain and in a locally perturbed quantum-chaotic XXZ chain
- Dynamics and Transport at the Threshold of Many-Body Localization
- Incomplete thermalization from trap-induced integrability breaking: lessons from classical hard rods
- Quantum Flutter: Signatures and Robustness
- High-temperature coherent transport in the XXZ chain in the presence of an impurity
- Critical velocity of a mobile impurity in one-dimensional quantum liquids
- Speck of Chaos
- Eigenstate thermalization hypothesis through the lens of autocorrelation functions
- Not to normal order - Notes on the kinetic limit for weakly interacting quantum fluids
- Weak integrability breaking: chaos with integrability signature in coherent diffusion
- Fredholm determinants, full counting statistics and Loschmidt echo for domain wall profiles in one-dimensional free fermionic chains
- Relaxation and Thermalization of Isolated Many-Body Quantum Systems
- Domain wall dynamics in integrable and chaotic spin-1/2 chains
- Incoherent transport induced by a single static impurity in a Heisenberg chain
- Non-Equilibrium Conformal Field Theories with Impurities
- Non-Equilibrium Steady State generated by a moving defect: the supersonic threshold
- Non-equilibrium quantum transport in presence of a defect: the non-interacting case
- Matrix-valued Boltzmann Equation for the Hubbard Chain
- Ballistic transport and boundary resistances in inhomogeneous quantum spin chains
- Perpetual motion and driven dynamics of a mobile impurity in a quantum fluid
- Superluminal moving defects in the Ising spin chain
- Lack of thermalization for integrability-breaking impurities
- Thermal transport in a spin-1/2 Heisenberg chain coupled to a (non) magnetic impurity
- Entanglement front generated by an impurity travelling in an isolated many-body quantum system
- Signature of Generalized Gibbs Ensemble Deviation from Equilibrium: Negative Absorption Induced by a Local Quench
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- Rényi entropy and negativity for massless Dirac fermions at conformal interfaces and junctions
- Entanglement evolution after a global quench across a conformal defect
- Transport and entanglement across integrable impurities from Generalized Hydrodynamics
- Rényi entropy and negativity for massless complex boson at conformal interfaces and junctions
- Quench dynamics of noninteracting fermions with a delta impurity
- Navier-Stokes equations for nearly integrable quantum gases
- Stationary time correlations for fermions after a quench in the presence of an impurity
- On Landauer--Büttiker formalism from a quantum quench
- Absence of thermalization of free systems coupled to gapped interacting reservoirs
- A hydrodynamic approach to Stark localization
- Quantum fluctuating theory for one-dimensional shock waves
- Chapman-Enskog theory and crossover between diffusion and superdiffusion for nearly integrable quantum gases