Exactly solvable deterministic lattice model of crossover between ballistic and diffusive transport
arXiv:1808.07385 · doi:10.1088/1742-5468/aae853
Abstract
We discuss a simple deterministic lattice gas of locally interacting charged particles, for which we show coexistence of ballistic and diffusive transport. Both, the ballistic and the diffusive transport coefficients, specifically the Drude weight and the diffusion constant, respectively, are analytically computed for particular set of generalised Gibbs states and may independently vanish for appropriate values of thermodynamic parameters. Moreover, our analysis, based on explicit construction of the matrix representation of time-automorphism in a suitable basis of the algebra of local observables, allows for an exact computation of the dynamic structure factor and closed form solution of the inhomogeneous quench problem.
arXiv comment26 pages
References in corpus (22)
- 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
- Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents
- Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
- Emergent hydrodynamics in integrable quantum systems out of equilibrium
- Transport and conservation laws
- Complete Generalized Gibbs Ensemble in an interacting Theory
- Bethe-Boltzmann Hydrodynamics and Spin Transport in the XXZ Chain
- Soliton gases and generalized hydrodynamics
- Microscopic origin of ideal conductivity in integrable quantum models
- Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
- Dynamics of hard rods with initial domain wall state
- A geometric viewpoint on generalized hydrodynamics
- Quasilocal conserved operators in isotropic Heisenberg spin 1/2 chain
- Semi-classical theory for quantum quenches in finite transverse Ising chains
- From Interacting Particles to Equilibrium Statistical Ensembles
- Diffusion in deterministic interacting lattice systems
- Hybrid semiclassical theory of quantum quenches in one dimensional systems
- Quantum quenches in the sine--Gordon model: a semiclassical approach
- Velocity Correlations, Diffusion and Stochasticity in a One-Dimensional System
- Semi-classical theory for quantum quenches in the O(3) non-linear sigma model
- Semiclassical theory of front propagation and front equilibration following an inhomogeneous quantum quench
- Integrable Floquet dynamics, generalized exclusion processes and "fused" matrix ansatz
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- Operator Entanglement in Local Quantum Circuits II: Solitons in Chains of Qubits
- Exact anomalous current fluctuations in a deterministic interacting model
- Rule 54: Exactly solvable model of nonequilibrium statistical mechanics
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- Dynamical criticality of magnetization transfer in integrable spin chains
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- Two-species hardcore reversible cellular automaton: matrix ansatz for dynamics and nonequilibrium stationary state
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