Proposal for measuring the finite-temperature Drude weight of integrable systems
arXiv:1611.04832 · doi:10.1103/PhysRevB.95.060406
Abstract
Integrable models such as the spin-1/2 Heisenberg chain, the Lieb-Liniger or the one-dimensional Hubbard model are known to avoid thermalization, which was also demonstrated in several quantum-quench experiments. Another dramatic consequence of integrability is the zero-frequency anomaly in transport coefficients, which results in ballistic finite-temperature transport, despite the presence of strong interactions. While this aspect of nonergodic dynamics has been known for a long time, there has so far not been any unambiguous experimental realization thereof. We make a concrete proposal for the observation ballistic transport via local quantum quench experiments in fermionic quantum-gas microscopes. Such an experiment would also unveil the coexistence of ballistic and diffusive transport channels in one and the same system and provide a means of measuring finite-temperature Drude weights. The connection between local quenches and linear-response functions is established via time-dependent Einstein relations.
References in corpus (106)
- Many-Body Physics with Ultracold Gases
- The density-matrix renormalization group in the age of matrix product states
- The density-matrix renormalization group
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Nonequilibrium dynamics of closed interacting quantum systems
- Many body localization and thermalization in quantum statistical mechanics
- Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
- Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
- Efficient simulation of one-dimensional quantum many-body systems
- A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
- Real time evolution using the density matrix renormalization group
- Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
- Quantum many-body systems out of equilibrium
- Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
- Matrix Product Density Operators: Simulation of finite-T and dissipative systems
- One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
- Thermodynamic limit of the density matrix renormalization for the spin-1 Heisenberg chain
- A Mott insulator of fermionic atoms in an optical lattice
- Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
- Classical simulation of infinite-size quantum lattice systems in one spatial dimension
- Matrix product states represent ground states faithfully
- Single-Spin Addressing in an Atomic Mott Insulator
- Metallic and Insulating Phases of Repulsively Interacting Fermions in a 3D Optical Lattice
- Generalized Gibbs ensemble in integrable lattice models
- Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm
- Transport and conservation laws
- Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
- Universal dynamics and renormalization in many body localized systems
- Quantum dynamics of a single, mobile spin impurity
- Microscopic observation of magnon bound states and their dynamics
- Strongly Correlated Quantum Walks in Optical Lattices
- Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
- Single-atom imaging of fermions in a quantum-gas microscope
- Spin and Charge Resolved Quantum Gas Microscopy of Antiferromagnetic Order in Hubbard Chains
- Short-range quantum magnetism of ultracold fermions in an optical lattice
- Spin transport in a one-dimensional anisotropic Heisenberg model
- Site-resolved Imaging of Fermionic Lithium-6 in an Optical Lattice
- Site-resolved measurement of the spin-correlation function in the Hubbard model
- Quasilocal charges in integrable lattice systems
- Finite Temperature Density Matrix Renormalization using an enlarged Hilbert space
- Ultracold atoms out of equilibrium
- Finite temperature Drude weight of the one dimensional spin 1/2 Heisenberg model}
- Expansion dynamics of interacting bosons in homogeneous lattices in one and two dimensions
- Remarks on the notion of quantum integrability
- Diffusion and ballistic transport in one-dimensional quantum systems
- Minimally entangled typical quantum states at finite temperature
- Families of quasi-local conservation laws and quantum spin transport
- Far-from-equilibrium spin transport in Heisenberg quantum magnets
- Nonequilibrium electron transport using the density matrix renormalization group
- Microscopic Observation of Pauli Blocking in Degenerate Fermionic Lattice Gases
- Magnon Heat Transport in (Sr,La)_14Cu_24O_41
- Finite temperature dynamical DMRG and the Drude weight of spin-1/2 chains
- Heat transport by lattice and spin excitations in the spin chain compounds SrCuO_2 and Sr_2CuO_3
- Conservation laws, integrability and transport in one-dimensional quantum systems
- Zero-frequency transport properties of one dimensional spin-1/2 systems
- Site-resolved imaging of a fermionic Mott insulator
- Spectral functions in one-dimensional quantum systems at T>0
- The thermal conductivity of the spin-1/2 XXZ chain at arbitrary temperature
- Imaging and addressing of individual fermionic atoms in an optical lattice
- Heat conduction in low-dimensional quantum magnets
- Evidence for ideal insulating/conducting state in a 1D integrable system
- Real-time and real-space spin- and energy dynamics in one-dimensional spin-1/2 systems induced by local quantum quenches at finite temperatures
- Thermal conductivity via magnetic excitations in spin-chain materials
- Ballistic heat transport of quantum spin excitations as seen in SrCuO2
- Thermal conductivity and specific heat of the linear chain cuprate SrCuO: Evidence for thermal transport via spinons
- Quasilocal conservation laws in XXZ spin-1/2 chains: open, periodic and twisted boundary conditions
- Spin-current autocorrelations from single pure-state propagation
- Thermodynamics of the Spin-1/2 Antiferromagnetic Uniform Heisenberg Chain
- On the finite temperature Drude weight of the anisotropic Heisenberg chain
- A real-time study of diffusive and ballistic transport in spin-1/2 chains using the adaptive time-dependent density matrix renormalization group method
- Ergodic properties of a generic non-integrable quantum many-body system in thermodynamic limit
- Observation of 2D fermionic Mott insulators of K with single-site resolution
- Magnon Heat Transport in doped
- Reducing the numerical effort of finite-temperature density matrix renormalization group transport calculations
- Equation of state of the two-dimensional Hubbard model
- Low-temperature transport in Heisenberg chains
- Thermal Conductivity of Spin-1/2 Chains
- Exactly conserved quasilocal operators for the XXZ spin chain
- Finite-temperature Drude weight within the anisotropic Heisenberg chain
- Spin transport in the XXZ chain at finite temperature and momentum
- Precise evaluation of thermal response functions by optimized density matrix renormalization group schemes
- Diffusive high-temperature transport in the one-dimensional Hubbard model
- The Drude weight of the spin-1/2 XXZ chain: density matrix renormalization group versus exact diagonalization
- Density dynamics in translationally invariant spin-1/2 chains at high temperatures: a current auto-correlation approach to finite time- and length-scales
- Real-time dynamics at finite temperature by DMRG: A path-integral approach
- Local and Quasilocal Conserved Quantities in Integrable Systems
- Real-time energy dynamics in spin-1/2 Heisenberg chains
- Extending the range of real time density matrix renormalization group simulations
- Magnetic heat conductivity in : linear temperature dependence
- Real-time broadening of non-equilibrium density profiles and the role of the specific initial-state realization
- Transport properties of the one-dimensional Hubbard model at finite temperature
- Non-dissipative thermal transport in the massive regimes of the XXZ chain
- Thermal conductivity of quasi-one-dimensional antiferromagnetic spin-chain materials
- Lower bounds on high-temperature diffusion constants from quadratically extensive almost conserved operators
- Density dynamics from current auto-correlations at finite time- and length-scales
- Evidence for a large magnetic heat current in insulating cuprates
- Thermal transport in antiferromagnetic spin-chain materials
- Finite Drude weight for 1D low temperature conductors
- Finite-temperature charge transport in the one-dimensional Hubbard model
- Spinon localization in the heat transport of the spin-1/2 ladder compound (CHN)CuBr
- Heat transport of clean spin-ladders coupled to phonons: Umklapp scattering and drag
- Thermal conductivity of the one-dimensional Fermi-Hubbard model
- Heat Transport in Spin Chains with Weak Spin-Phonon Coupling
- Energy spread and current-current correlation in quantum systems
- Thermal drag in spin ladders coupled to phonons
Cited by in corpus (28)
- Finite-temperature transport in one-dimensional quantum lattice models
- Solvable Hydrodynamics of Quantum Integrable Systems
- Diffusion in generalized hydrodynamics and quasiparticle scattering
- Microscopic origin of ideal conductivity in integrable quantum models
- Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
- Super-diffusion in one-dimensional quantum lattice models
- Non-equilibrium spin transport in integrable spin chains: persistent currents and emergence of magnetic domains
- Spin crossovers and superdiffusion in the one-dimensional Hubbard model
- Non-Equilibrium Mass Transport in the 1D Fermi-Hubbard Model
- Unified theory of local quantum many-body dynamics: Eigenoperator thermalization theorems
- Anomalous low-frequency conductivity in easy-plane XXZ spin chains
- Hydrodynamics of nonintegrable systems from a relaxation-time approximation
- Solution of the Lindblad equation for spin helix states
- Real-Time Dynamics of Typical and Untypical States in Non-Integrable Systems
- Non-linear current and dynamical quantum phase transitions in the flux-quenched Su-Schrieffer-Heeger model
- Quantum Quench in the Infinitely Repulsive Hubbard Model: the Stationary State
- Magnetization and energy dynamics in spin ladders: Evidence of diffusion in time, frequency, position, and momentum
- Magnetization dynamics in clean and disordered spin-1 XXZ chains
- Charge diffusion in the one-dimensional Hubbard model
- Thermodynamics and fractal Drude weights in the sine-Gordon model
- Density dynamics in the mass-imbalanced Hubbard chain
- Relation between far-from-equilibrium dynamics and equilibrium correlation functions for binary operators
- Sudden removal of a static force in a disordered system: Induced dynamics, thermalization, and transport
- Tuning the Drude weight of Dirac-Weyl fermions in one-dimensional ring traps
- Thermal Drude weight in an integrable chiral clock model
- Non-Equilibrium Steady State of the Lieb-Liniger model: exact treatment of the Tonks Girardeau limit
- Nodal Spectral Functions Stabilized by Non-Hermitian Topology of Quasiparticles
- Non-integrable fermionic chains near criticality