Generalized hydrodynamics study of the one-dimensional Hubbard model: Stationary clogging and proportionality of spin, charge, and energy currents
arXiv:2008.06522 · doi:10.1103/PhysRevB.103.035130
Abstract
In our previous work [Y. Nozawa and H. Tsunetsugu, Phys. Rev. B 101, 035121 (2020)], we studied quench dynamics in the one-dimensional Hubbard model based on the generalized hydrodynamics theory for a partitioning protocol and showed the presence of a clogging phenomenon. Clogging is a phenomenon that vanishing charge current coexists with nonzero energy current, and was found when the protocol uses the initial condition that the left half of the system is prepared to be half filling at high temperatures with the right half being empty. Clogging occurs at all the sites in the left half and lasts for a time proportional to its distance from the connection point. In this paper, we use various different initial conditions and discuss two issues. The first issue is the possibility of clogging in a stationary state. When the electron density in the right half is initially set nonzero, we found that the left half-filled part expands for various sets of parameters in the initial condition. This means that the clogging phenomenon occurs at all the sites in the long-time stationary state, and we also discuss its origin. In addition, stationary clogging is accompanied by a back current, namely, particle density current flows towards the high-density region. We also found spin clogging occurs for some initial conditions, i.e., the vanishing spin current coexists with nonzero energy current. The second issue is the proportionality of spin and charge currents. We have found two spatio-temporal regions where the current ratio is fixed to a nonzero constant. We numerically studied how the current ratio depends on various initial conditions. We also studied the ratio of charge and energy currents.
arXiv comment10 pages, 11 figures
References in corpus (42)
- Luttinger Liquid Behavior in Carbon Nanotubes
- Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents
- Emergent hydrodynamics in integrable quantum systems out of equilibrium
- Spin and Charge Resolved Quantum Gas Microscopy of Antiferromagnetic Order in Hubbard Chains
- Generalized HydroDynamics on an Atom Chip
- Hydrodynamic Diffusion in Integrable Systems
- Hydrodynamics of operator spreading and quasiparticle diffusion in interacting integrable systems
- Bethe-Boltzmann Hydrodynamics and Spin Transport in the XXZ Chain
- Soliton gases and generalized hydrodynamics
- "Light-cone" dynamics after quantum quenches in spin chains
- Kinetic theory of spin diffusion and superdiffusion in XXZ spin chains
- Diffusion in generalized hydrodynamics and quasiparticle scattering
- Microscopic origin of ideal conductivity in integrable quantum models
- On-chain electrodynamics of metallic (TMTSF)_2 X salts: Observation of Tomonaga-Luttinger liquid response
- Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
- Transport in out-of-equilibrium XXZ chains: non-ballistic behavior and correlation functions
- Analytic solution of the Domain Wall non-equilibrium stationary state
- Energy flow in non-equilibrium conformal field theory
- Super-diffusion in one-dimensional quantum lattice models
- Dynamics of hard rods with initial domain wall state
- Drude Weight for the Lieb-Liniger Bose Gas
- Non-equilibrium spin transport in integrable spin chains: persistent currents and emergence of magnetic domains
- Ballistic heat transport of quantum spin excitations as seen in SrCuO2
- Entanglement evolution and generalised hydrodynamics: noninteracting systems
- Entanglement and quantum transport in integrable systems
- Generalised hydrodynamics of the classical Toda system
- Exact large-scale correlations in integrable systems out of equilibrium
- Non-equilibrium steady-states in conformal field theory
- Generalized hydrodynamics of classical integrable field theory: the sinh-Gordon model
- Entanglement evolution and generalised hydrodynamics: interacting integrable systems
- Algebraic construction of current operators in integrable spin chains
- Anomalous relaxation and the high-temperature structure factor of XXZ spin chains
- Spin-charge separation effects in the low-temperature transport of 1D Fermi gases
- Energy transport in an integrable parafermionic chain via generalized hydrodynamics
- Spin crossovers and superdiffusion in the one-dimensional Hubbard model
- Universal broadening of the light cone in low-temperature transport
- Towards a Generalized Hydrodynamics description of Rényi entropies in integrable systems
- Charges and currents in quantum spin chains: late-time dynamics and spontaneous currents
- Low-Temperature Transport in Out-of-Equilibrium XXZ Chains
- Generalized Hydrodynamic approach to charge and energy currents in the one-dimensional Hubbard model
- Kinetic theory of quantum and classical Toda lattices
- Generalized hydrodynamics, quasiparticle diffusion, and anomalous local relaxation in random integrable spin chains
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- Real-Time Evolution in the Hubbard Model with Infinite Repulsion
- Kardar-Parisi-Zhang scaling in the Hubbard model
- Scaling of fronts and entanglement spreading during a domain wall melting
- Tunable transport in the mass-imbalanced Fermi-Hubbard model
- Generalized-Hydrodynamic approach to Inhomogeneous Quenches: Correlations, Entanglement and Quantum Effects
- Finite temperature spin diffusion in the Hubbard model in the strong coupling limit
- Navier-Stokes Equations for Low-Temperature One-Dimensional Fluids
- Dynamical fermionization in one-dimensional spinor gases at finite temperature
- Generalized hydrodynamics of integrable quantum circuits
- The Theory of Generalised Hydrodynamics for the One-dimensional Bose Gas
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