Scaling of diffusion constants in the spin-1/2 XX ladder
arXiv:1406.2799 · doi:10.1103/PhysRevB.90.094417
Abstract
We study the dynamics of spin currents in the XX spin-1/2 ladder at finite temperature. Within the framework of linear response theory, we numerically calculate autocorrelation functions for quantum systems larger than what is accessible with exact diagonalization using the concept of dynamical quantum typicality. We show that spin Drude weights vanish exponentially fast with increasing system size. As a main result, we unveil qualitatively different dependencies of the spin diffusion coefficient on the rung-interaction strength, resulting from a crossover from exponential to Gaussian dissipation as the rung coupling increases. This behavior is also derived analytically. We further discuss the relation of our results to experiments with cold atomic gases.
arXiv comment7 pages, 7 figures, accepted for publication in Phys. Rev. B
References in corpus (41)
- Many-Body Physics with Ultracold Gases
- One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
- Bose-Einstein condensation of atoms in a uniform potential
- Direct Observation of Second Order Atom Tunnelling
- Transport and conservation laws
- Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
- Quantum dynamics of a single, mobile spin impurity
- Fermionic transport in a homogeneous Hubbard model: Out-of-equilibrium dynamics with ultracold atoms
- Spin transport in a one-dimensional anisotropic Heisenberg model
- Expansion dynamics of interacting bosons in homogeneous lattices in one and two dimensions
- Families of quasi-local conservation laws and quantum spin transport
- Conservation laws, integrability and transport in one-dimensional quantum systems
- Fast Algorithm for Finding the Eigenvalue Distribution of Very Large Matrices
- Zero-frequency transport properties of one dimensional spin-1/2 systems
- Dynamical typicality of quantum expectation values
- Information transfer by vector spin chirality in finite magnetic chains
- Pushing the limits of the eigenstate thermalization hypothesis towards mesoscopic quantum systems
- Heat conduction in low-dimensional quantum magnets
- Conductivity of a clean one-dimensional wire
- 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
- Spin-current autocorrelations from single pure-state propagation
- Transport in Almost Integrable Models: Perturbed Heisenberg Chains
- A real-time study of diffusive and ballistic transport in spin-1/2 chains using the adaptive time-dependent density matrix renormalization group method
- Nonequilibrium thermal transport and its relation to linear response
- Regression relation for pure quantum states and its implications for efficient computing
- Universal relaxational dynamics of gapped one dimensional models in the quantum sine-Gordon universality class
- Spin transport in the XXZ chain at finite temperature and momentum
- High temperature thermal conductivity of 2-leg spin-1/2 ladders
- Sudden expansion of Mott insulators in one dimension
- Coexistence of diffusive and ballistic transport in a simple spin ladder
- AC magnetization transport and power absorption in non-itinerant spin chains
- Comment on "Anomalous Thermal Conductivity of Frustrated Heisenberg Spin Chains and Ladders"
- Decay of currents for strong interactions
- Approach to equilbrium in nano-scale systems at finite temperatur
- Transition from diffusive to ballistic dynamics for a class of finite quantum models
- Rectification of spin currents in spin chains
- Projection operator approach to spin diffusion in the anisotropic Heisenberg chain at high temperatures
- Low temperature ballistic spin transport in the S=1/2 antiferromagnetic Heisenberg chain compound SrCuO2
- Burnett coefficients in quantum many-body systems
Cited by in corpus (39)
- Finite-temperature transport in one-dimensional quantum lattice models
- Transport in quasiperiodic interacting systems: from superdiffusion to subdiffusion
- Hydrodynamics of weak integrability breaking
- Time-dependent variational principle in matrix-product state manifolds: pitfalls and potential
- Typicality approach to the optical conductivity in thermal and many-body localized phases
- Real-time broadening of non-equilibrium density profiles and the role of the specific initial-state realization
- Eigenstate thermalization hypothesis through the lens of autocorrelation functions
- Simulating hydrodynamics on noisy intermediate-scale quantum devices with random circuits
- Spin and thermal conductivity of quantum spin ladders
- Heat conductivity of the Heisenberg spin-1/2 ladder: From weak to strong breaking of integrability
- Emergence of fluctuating hydrodynamics in chaotic quantum systems
- Selected applications of typicality to real-time dynamics of quantum many-body systems
- Operator backflow and the classical simulation of quantum transport
- Finite-temperature charge transport in the one-dimensional Hubbard model
- Spin transport in long-range interacting one-dimensional chain
- Exponential damping induced by random and realistic perturbations
- Magnetization and energy dynamics in spin ladders: Evidence of diffusion in time, frequency, position, and momentum
- Diffusion constants from the recursion method
- Magnetization dynamics in clean and disordered spin-1 XXZ chains
- Real-time operator evolution in two and three dimensions via sparse Pauli dynamics
- Sudden expansion and domain-wall melting of strongly interacting bosons in two-dimensional optical lattices and on multileg ladders
- Charge diffusion in the one-dimensional Hubbard model
- Quantum Hydrodynamics in Spin Chains with Phase Space Methods
- Probing spin hydrodynamics on a superconducting quantum simulator
- Less is more: more scattering leading to less resistance
- Numerical Evidence for Approximate Consistency and Markovianity of some Quantum Histories in a Class of Finite Closed Spin Systems
- Integrability breaking in the Rule 54 cellular automaton
- Semi-classical theory of quantum stochastic resistors
- Computation of ESR spectra from the time evolution of the magnetization: comparison of autocorrelation and Wiener-Khinchin-relation based methods
- Numerical study on ESR by making use of Wiener-Khinchin relation in time domain
- Bounding the finite-size error of quantum many-body dynamics simulations
- Low-temperature heat transport of spin-gapped quantum magnets
- Nontrivial damping of quantum many-body dynamics
- Efficient quantum information probes of non-equilibrium quantum criticality
- Scaling of diffusion constants in perturbed easy-axis Heisenberg spin chains
- Hierarchy of timescales in a disordered spin- XX ladder
- Topological floating phase of dipolar bosons in an optical ladder
- Beyond fragmented dopant dynamics in quantum spin lattices: Robust localization and non-Gaussian diffusion
- Identifying mobility edge from finite temperature spectral form factor