Tunable transport in the mass-imbalanced Fermi-Hubbard model
arXiv:2205.12970 · doi:10.1103/PhysRevB.106.075115
Abstract
The late-time dynamics of quantum many-body systems is organized in distinct dynamical universality classes, characterized by their conservation laws and thus by their emergent hydrodynamic transport. Here, we study transport in the one-dimensional Hubbard model with different masses of the two fermionic species. To this end, we develop a quantum Boltzmann approach valid in the limit of weak interactions. We explore the crossover from ballistic to diffusive transport, whose timescale strongly depends on the mass ratio of the two species. For timescales accessible with matrix product operators, we find excellent agreement between these numerically exact results and the quantum Boltzmann equation, even for intermediate interactions. We investigate two scenarios which have been recently studied with ultracold atom experiments. First, in the presence of a tilt, the quantum Boltzmann equation predicts that transport is significantly slowed down and becomes subdiffusive, consistent with previous studies. Second, we study transport probed by displacing a harmonic confinement potential and find good quantitative agreement with recent experimental data [N. Darkwah Oppong et al., arXiv:2011.12411]. Our results demonstrate that the quantum Boltzmann equation is a useful tool to study complex non-equilibrium states in inhomogeneous potentials, as often probed with synthetic quantum systems.
17 pages, 13 figures
References in corpus (18)
- Anomalous diffusion and Griffiths effects near the many-body localization transition
- Observing non-ergodicity due to kinetic constraints in tilted Fermi-Hubbard chains
- Quantum gas microscopy of Kardar-Parisi-Zhang superdiffusion
- Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
- Dynamics in many-body localized quantum systems without disorder
- Superdiffusion in spin chains
- Observing emergent hydrodynamics in a long-range quantum magnet
- Scenario for delocalization in translation invariant systems
- Spin crossovers and superdiffusion in the one-dimensional Hubbard model
- Universal subdiffusion in strongly tilted many-body systems
- Generalized Hydrodynamic approach to charge and energy currents in the one-dimensional Hubbard model
- Probing transport and slow relaxation in the mass-imbalanced Fermi-Hubbard model
- Matrix-valued Boltzmann Equation for the Hubbard Chain
- Generalized hydrodynamics study of the one-dimensional Hubbard model: Stationary clogging and proportionality of spin, charge, and energy currents
- Coupled Hydrodynamics in Dipole-Conserving Quantum Systems
- Experimental realization of fragmented models in tilted Fermi-Hubbard chains
- Temperature Dependent Energy Diffusion in Chaotic Spin Chains
- Numerical scheme for a spatially inhomogeneous matrix-valued quantum Boltzmann equation
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- Integrability breaking from backscattering
- Two-doublon Bloch oscillations in the mass-imbalanced extended Fermi-Hubbard model
- Controlling nonergodicity in quantum many-body systems by reinforcement learning
- Kinetics of Quantum Reaction-Diffusion systems
- Reaction-diffusion dynamics of the weakly dissipative Fermi gas
- A hydrodynamic approach to Stark localization
- Einstein relation for subdiffusive relaxation in Stark chains
- Particle pairing causes subdiffusion of heavy particles in the imbalanced Hubbard model