Controllable Finite-Momenta Dynamical Quasicondensation in the Periodically Driven One-Dimensional Fermi-Hubbard Model

Abstract

In the strongly interacting limit of the Hubbard model localized double-occupancies form effective hard-core bosonic excitations, called a doublons, which are long-lived due to energy conservation. Using time-dependent density-matrix renormalisation group we investigate numerically the dynamics of doublons arising from the sudden expansion of a spatially confined band-insulating state in one spatial dimension. By analysing the occupation scaling of the natural orbitals within the many-body state, we show that doublons dynamically quasicondense at the band edges, consistent with the spontaneous emergence of an eta-quasicondensate. Building on this, we study the effect of periodically driving the system during the expansion. Floquet analysis reveals that doublon-hopping and doublon-repulsion are strongly renormalised by the drive, breaking the eta-SU(2) symmetry of the Hubbard model. Numerical simulation of the driven expansion dynamics demonstrate that the momentum in which doublons quasicondense can be controlled by the driving amplitude. These results point to new pathways for engineering non-equilibrium condensates in fermionic cold-atom experiments and are potentially relevant to driven solid-state systems.

17 pages

References in corpus (29)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• The density-matrix renormalization group in the age of matrix product states
• Real time evolution using the density matrix renormalization group
• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• Experimental Observation of a Generalized Gibbs Ensemble
• Tunable gauge potential for neutral and spinless particles in driven lattices
• Repulsively bound atom pairs in an optical lattice
• Nonlinear lattice dynamics as a basis for enhanced superconductivity in YBa2Cu3O6.5
• Controlled exchange interaction between pairs of neutral atoms in an optical lattice
• Non-stationary coherent quantum many-body dynamics through dissipation
• Nonlinear light-matter interaction at terahertz frequencies
• Analytic solution of the Domain Wall non-equilibrium stationary state
• Dynamical band flipping in fermionic lattice systems: An ac-field-driven change of the interaction from repulsive to attractive
• Enhancement and sign change of magnetic correlations in a driven quantum many-body system
• Metastable superfluidity of repulsive fermionic atoms in optical lattices
• Emergence of quasi-condensates of hard-core bosons at finite momentum
• Ground-state properties of hard-core bosons confined on one-dimensional optical lattices
• Observing the Drop of Resistance in the Flow of a Superfluid Fermi Gas
• Quantum distillation: dynamical generation of low-entropy states of strongly correlated fermions in an optical lattice
• Dynamics of the spin-1/2 Heisenberg chain initialized in a domain-wall state
• Proposed parametric cooling of bilayer cuprate superconductors by terahertz excitation
• Floquet dynamics in driven Fermi-Hubbard systems
• Band and correlated insulators of cold fermions in a mesoscopic lattice
• Semi-synthetic zigzag optical lattice for ultracold bosons
• Free expansion of impenetrable bosons on one-dimensional optical lattices
• Ground-state reference systems for expanding correlated fermions in one dimension
• Non-Equilibrium Mass Transport in the 1D Fermi-Hubbard Model
• Unconventional fermionic pairing states in a monochromatically tilted optical lattice

Cited by in corpus (8)

• Probing light-driven quantum materials with ultrafast resonant inelastic X-ray scattering
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• Dynamical quantum phase transitions in the one-dimensional extended Fermi-Hubbard model
• Quantum many-body scars with unconventional superconducting pairing symmetries via multibody interactions
• Lieb's Theorem and Maximum Entropy Condensates
• $\eta$-pairing states in the Hubbard model with non-uniform Hubbard interaction
• Long-lived non-thermal states in pumped one-dimensional systems of hard-core bosons