Controlling magnetic correlations in a driven Hubbard system far from half-filling

Abstract

We propose using ultracold fermionic atoms trapped in a periodically shaken optical lattice as a quantum simulator of the t-J Hamiltonian, which describes the dynamics in doped antiferromagnets and is thought to be relevant to the problem of high-temperature superconductivity in the cuprates. We show analytically that the effective Hamiltonian describing this system for off-resonant driving is the t-J model with additional pair hopping terms, whose parameters can all be controlled by the drive. We then demonstrate numerically using tensor network methods for a 1D lattice that a slow modification of the driving strength allows near-adiabatic transfer of the system from the ground state of the underlying Hubbard model to the ground state of the effective t-J Hamiltonian. Finally, we report exact diagonalization calculations illustrating the control achievable on the dynamics of spin-singlet pairs in 2D lattices utilising this technique with current cold-atom quantum-simulation technology. These results open new routes to explore the interplay between density and spin in strongly-correlated fermionic systems through their out-of-equilibrium dynamics.

References in corpus (70)

• The density-matrix renormalization group in the age of matrix product states
• Experimental realisation of the topological Haldane model
• Efficient simulation of one-dimensional quantum many-body systems
• A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
• Atomic quantum gases in periodically driven optical lattices
• Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
• Theory of Intertwined Orders in High Temperature Superconductors
• Light-induced anomalous Hall effect in graphene
• An optically stimulated superconducting-like phase in K3C60 far above equilibrium Tc
• Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
• Single-Spin Addressing in an Atomic Mott Insulator
• Quantum simulation of frustrated magnetism in triangular optical lattices
• Tunable gauge potential for neutral and spinless particles in driven lattices
• Stripe order in the underdoped region of the two-dimensional Hubbard model
• Equilibrium states of generic quantum systems subject to periodic driving
• Long-time behavior of periodically driven isolated interacting lattice systems
• Superfluid-insulator transition in a periodically driven optical lattice
• Nonlinear lattice dynamics as a basis for enhanced superconductivity in YBa2Cu3O6.5
• Competing states in the t-J model: uniform d-wave state versus stripe state
• Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
• Spin and Charge Resolved Quantum Gas Microscopy of Antiferromagnetic Order in Hubbard Chains
• Short-range quantum magnetism of ultracold fermions in an optical lattice
• Rigorous Bound on Energy Absorption and Generic Relaxation in Periodically Driven Quantum Systems
• Observation of Spatial Charge and Spin Correlations in the 2D Fermi-Hubbard Model
• Site-resolved measurement of the spin-correlation function in the Hubbard model
• A Rigorous Theory of Many-Body Prethermalization for Periodically Driven and Closed Quantum Systems
• Microscopy of the interacting Harper-Hofstadter model in the few-body limit
• Optically induced coherent transport far above Tc in underdoped YBa2Cu3O6+x
• In situ observation of strongly interacting ferromagnetic domains in a shaken optical lattice
• Ultrafast and reversible control of the exchange interaction in Mott insulators
• Numerical evidence of fluctuating stripes in the normal state of high-Tc cuprate superconductors
• Revealing Hidden Antiferromagnetic Correlations in Doped Hubbard Chains via String Correlators
• Superconductivity in the Hubbard model and its interplay with charge stripes and next-nearest hopping t'
• Superconductivity in the two-dimensional t-J model
• Momentum-Resolved Bragg Spectroscopy in Optical Lattices
• Schrieffer-Wolff Transformation for Periodically Driven Systems: Strongly Correlated Systems with Artificial Gauge Fields
• String patterns in the doped Hubbard model
• Bragg spectroscopy of a strongly interacting Fermi gas
• Floquet prethermalization and regimes of heating in a periodically driven, interacting quantum system
• Stripe order from the perspective of the Hubbard model
• Enhancement and sign change of magnetic correlations in a driven quantum many-body system
• Time-Resolved Observation of Spin-Charge Deconfinement in Fermionic Hubbard Chains
• Quantum state engineering of a Hubbard system with ultracold fermions
• Interaction dependent heating and atom loss in a periodically driven optical lattice
• Controlling and Detecting Spin Correlations of Ultracold Atoms in Optical lattices
• Heating-Induced Long-Range $\eta$-Pairing in the Hubbard Model
• Equation of state of the two-dimensional Hubbard model
• Single atom detection in ultracold quantum gases: a review of current progress
• Stroboscopic prethermalization in weakly interacting periodically driven systems
• Floquet dynamics in driven Fermi-Hubbard systems
• The Floquet-Boltzmann equation
• Direct observation of incommensurate magnetism in Hubbard chains
• Superconductivity in the doped $t$-$J$ model: results for four-leg cylinders
• Intertwined Order in a Frustrated 4-leg $t-J$ Cylinder
• Scanning tunnelling microscopy for ultracold atoms
• Enhancement of super-exchange pairing in the periodically-driven Hubbard model
• Controlling the Floquet state population and observing micromotion in a periodically driven two-body quantum system
• Single-site- and single-atom-resolved measurement of correlation functions
• The Tensor Network Theory Library
• Floquet prethermalization in the resonantly driven Hubbard model
• Interaction-Dependent Photon-Assisted Tunneling in Optical Lattices: A Quantum Simulator of Strongly-Correlated Electrons and Dynamical Gauge Fields
• Measuring correlations of cold atom systems using multiple quantum probes
• Effect of the Three-Site Hopping Term on the t-J Model
• Transient Floquet engineering of superconductivity
• Revealing missing charges with generalised quantum fluctuation relations
• Ground state phase diagram of the one-dimensional $t$-$J$ model with pair hopping terms
• Signatures of pairing in the magnetic excitation spectrum of strongly correlated ladders
• Quantum probe spectroscopy for cold atomic systems

Cited by in corpus (2)

• Anomalous spin-charge separation in a driven Hubbard system
• Mean Field Study of Superconductivity in the Square Lattice $t$-$J$ Model with Three-Site Hopping