Spin transport in a tunable Heisenberg model realized with ultracold atoms

Abstract

Simple models of interacting spins play an important role in physics. They capture the properties of many magnetic materials, but also extend to other systems, such as bosons and fermions in a lattice, systems with gauge fields, high-Tc superconductors, and systems with exotic particles such as anyons and Majorana fermions. In order to study and compare these models, a versatile platform is needed. Realizing such a system has been a long-standing goal in the field of ultracold atoms. So far, spin transport has only been studied in the isotropic Heisenberg model. Here we implement the Heisenberg XXZ model with adjustable anisotropy and use this system to study spin transport far from equilibrium after quantum quenches from imprinted spin helix patterns. In the non-interacting XX model, we find ballistic behavior of spin dynamics, while in the isotropic XXX model, we find diffusive behavior. For positive anisotropies, the dynamics ranges from anomalous super-diffusion to sub-diffusion depending on anisotropy, whereas for negative anisotropies, we observe a crossover in the time domain from ballistic to diffusive transport. This behavior contrasts with expectations for the linear response regime and raises new questions in understanding quantum many-body dynamics far away from equilibrium.

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Cited by in corpus (178)

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• Transverse spin dynamics in the anisotropic Heisenberg model realized with ultracold atoms
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• Engineering and probing non-Abelian chiral spin liquids using periodically driven ultracold atoms
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• Weak integrability breaking: chaos with integrability signature in coherent diffusion
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• Exact description of quantum stochastic models as quantum resistors
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• Temporal Entanglement in Chaotic Quantum Circuits
• Emergence of fluctuating hydrodynamics in chaotic quantum systems
• Engineering dynamically decoupled quantum simulations with trapped ions
• Robust spin squeezing from the tower of states of $U(1)$-symmetric spin Hamiltonians
• Distinct universality classes of diffusive transport from full counting statistics
• Tunable Single-Ion Anisotropy in Spin-1 Models Realized with Ultracold Atoms
• Exact real-time longitudinal correlation functions of the massive XXZ chain
• Phantom Bethe excitations and spin helix eigenstates in integrable periodic and open spin chains
• Interactions enable Thouless pumping in a nonsliding lattice
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• Exact hydrodynamic solution of a double domain wall melting in the spin-1/2 XXZ model
• Anomalous Dynamics and Equilibration in the Classical Heisenberg Chain
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• Probing finite-temperature observables in quantum simulators of spin systems with short-time dynamics
• Coherent ground-state transport of neutral atoms
• Adiabatic formation of bound states in the 1d Bose gas
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• Critical quantum thermometry and its feasibility in spin systems
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• Long-range-ordered phase in a quantum Heisenberg chain with interactions beyond nearest neighbors
• Feynman rules for forced wave turbulence
• Long-range interacting systems are locally non-interacting
• Strong Spin-Motion Coupling in the Ultrafast Dynamics of Rydberg Atoms
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• Quantum Computing by Cooling
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• Hydrodynamic sound modes and Galilean symmetry breaking in a magnon fluid
• Replacing neural networks by optimal analytical predictors for the detection of phase transitions
• From dissipationless to normal diffusion in easy-axis Heisenberg spin chain
• Temperature Dependent Energy Diffusion in Chaotic Spin Chains
• Anisotropic Landau-Lifshitz Model in Discrete Space-Time
• Popcorn Drude weights from quantum symmetry
• Dynamical quantum phase transitions in the one-dimensional extended Fermi-Hubbard model
• Dynamics of Spin Helices in the One-Dimensional $XX$ Model
• Multimagnon dynamics and thermalization in the $S=1$ easy-axis ferromagnetic chain
• Slow crossover from superdiffusion to diffusion in isotropic spin chains
• Bath-induced interactions and transient dynamics in open quantum systems at strong coupling: Effective Hamiltonian approach
• Rotor/spin-wave theory for quantum spin models with U(1) symmetry
• Exact solutions of few-magnon problems in the spin-$S$ periodic XXZ chain
• Turbulent relaxation after a quench in the Heisenberg model
• Integrability breaking from backscattering
• Superexchange Liquefaction of Strongly Correlated Lattice Dipolar Bosons
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• Nanometer-Scale Nuclear Magnetic Resonance Diffraction with Sub-Ångstrom Precision
• Power-law decay of correlations after a global quench in the massive XXZ chain
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• Anomalous current fluctuations from Euler hydrodynamics
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• Quantum master equation from the eigenstate thermalization hypothesis
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• Krylov complexity in quantum many-body scars of spin-1 models
• Floquet Hamiltonian Engineering of an Isolated Many-Body Spin System
• Integrability is generic in homogeneous U(1)-invariant nearest-neighbor qubit circuits
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• Optical spin conductivity in ultracold quantum gases
• Chiral basis for qubits and spin-helix decay
• Magnon-polaron formation in XXZ quantum Heisenberg chains
• Spatiotemporal dynamics of classical and quantum density profiles in low-dimensional spin systems
• Quantum thermometry for ultralow temperatures using probe and ancilla qubit chains
• The role of q-spin singlet pairs of physical spins in the dynamical properties of the spin-1/2 Heisenberg-Ising XXZ chain
• Unveiling chiral states in the XXZ chain: Finite-size scaling probing symmetry-enriched $c=1$ conformal field theories
• Semiclassical simulations predict glassy dynamics for disordered Heisenberg models
• Floquet Flux Attachment in Cold Atomic Systems
• Kernel-Function Based Quantum Algorithms for Finite Temperature Quantum Simulation
• Magnetic Phase Transition in the Ground-State Phase Diagram of Binary Bose Gases in Optical Lattices
• Stable dynamic helix state in the nonintegrable XXZ Heisenberg model
• Non-equilibrium boundary driven quantum systems: models, methods and properties
• Robust unidirectional phantom helix states in the XXZ Heisenberg model with Dzyaloshinskii-Moriya interaction
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• Deep learning nonlocal and scalable energy functionals for quantum Ising models
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• Self-protected adiabatic quantum computation
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• Far-from-equilibrium universality in two-dimensional Heisenberg antiferromagnets
• Non-linear Transport by Bethe Bound States
• Fractional Spin Quantum Hall Effect in Weakly Coupled Spin Chain Arrays
• Symmetry: a fundamental resource for quantum coherence and metrology
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• Two-particle States in One-dimensional Coupled Bose-Hubbard Models
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• Fluctuations of stochastic charged cellular automata
• Finite-temperature transport in the gapped spin-1/2 XXZ chain and one-dimensional lattice spinless fermion model
• Few-magnon excitations in a frustrated spin-$S$ ferromagnetic chain with single-ion anisotropy
• Diagnosing quantum transport from wave function snapshots
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• Nonlocal order parameter of pair superfluids
• Dynamics of spin helices in the diluted one-dimensional $XX$ model
• Critical Exponent of Dynamical Quantum Phase Transition in One-Dimensional Bose-Hubbard Model in the Strong Interacting Limit
• Quantum fluctuating theory for one-dimensional shock waves
• Thermomagnetic Anomalies by Magnonic Criticality in Ultracold Atomic Transport
• Generating Symmetry-Protected Long-Range Entanglement in Many-Body Systems
• Generalized Josephson effect with arbitrary periodicity in quantum magnets
• Ising spin-1/2 XXZ chain's quantum problems beyond the spinon paradigm
• Quantum transport of strongly interacting fermions in one dimension at far-out-of-equilibrium
• Tunable superdiffusion in integrable spin chains using correlated initial states
• Emergence of Gaussianity in the thermodynamic limit of interacting fermions
• Predictive complexity of quantum subsystems
• Emergence of topological states in relaxation dynamics of interacting bosons
• Boundary logarithmic corrections to the dynamical correlation functions of one-dimensional spin-1/2 chains
• Eigenstate plateau transition and equilibration in 1D quantum lattice models
• Quantum transport under oscillatory drive with disordered amplitude
• Unidirectional subsystem symmetry in a hole-doped honeycomb-lattice Ising magnet
• Thermomagnetic anomalies in quantum magnon transport caused by tunable junction geometries in cold atomic systems
• Universal efficiency boost in prethermal quantum heat engines at negative temperature
• Hierarchy of timescales in a disordered spin-$1/2$ XX ladder
• Schwinger-Boson mean-field study of spin-1/2 $J_1$-$J_2$-$J_{\chi }$ model in honeycomb lattice: thermal Hall signature
• Locally controlled arrested thermalization
• Spatial Leggett-Garg inequalities
• Spin and thermal current scaling at a $Y$-junction of XX spin chains
• Suppression of coherent light scattering in a three-dimensional atomic array
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• Generation of spin currents by a temperature gradient in a two-terminal device
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