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Tunable transport in the mass-imbalanced Fermi-Hubbard model

Philip Zechmann, Alvise Bastianello, Michael Knap

Transport dominates the late-time dynamics of quantum many-body systems with conserved quantities and is described by the laws of hydrodynamics. Within the framework of a quantum kinetic theory, the authors study the recently experimentally realized mass-imbalanced Fermi-Hubbard model in one dimension and investigate the emergence of diffusive hydrodynamics. Excellent agreement with both tensor network computations and experimental data is found. Furthermore, they analyze the influence of external potentials and show that the presence of a tilt gives rise to a more exotic type of subdiffusive transport.Transport dominates the late-time dynamics of quantum many-body systems with conserved quantities and is described by the laws of hydrodynamics. Within the framework of a quantum kinetic theory, the authors study the recently experimentally realized mass-imbalanced Fermi-Hubbard model in one dimension and investigate the emergence of diffusive hydrodynamics. Excellent agreement with both tensor network computations and experimental data is found. Furthermore, they analyze the influence of external potentials and show that the presence of a tilt gives rise to a more exotic type of subdiffusive transport.

arXiv:2205.12970Physical review. B./Physical review. BAug 5, 202213 citations

Charge and heat transport in an atomic Fermi-Hubbard system

Elmer Guardado-Sanchez, Benjamin M. Spar, Waseem Bakr

Bulletin of the American Physical SocietyJun 4, 20200 citations

Mesoscopic heat and particle transport in ultracold Fermi gases

Samuel Häusler

Jan 1, 20200 citations

Probing Transport and Slow Relaxation in the Mass-Imbalanced Fermi-Hubbard Model

Nelson Darkwah Oppong, G. Pasqualetti, Oscar Bettermann +4 more

Constraints in the dynamics of quantum many-body systems can dramatically alter transport properties and relaxation timescales even in the absence of static disorder.Here, we report on the observation of such constrained dynamics arising from the distinct mobility of two species in the one-dimensional massimbalanced Fermi-Hubbard model, realized with ultracold ytterbium atoms in a state-dependent optical lattice.By displacing the trap potential and monitoring the subsequent dynamical response of the system, we identify suppressed transport and slow relaxation with a strong dependence on the mass imbalance and interspecies interaction strength, consistent with eventual thermalization for long times.Our observations demonstrate the potential for quantum simulators to provide insights into unconventional relaxation dynamics arising from constraints.Constraints in the dynamics of quantum many-body systems can dramatically alter transport properties and relaxation timescales even in the absence of static disorder.Here, we report on the observation of such constrained dynamics arising from the distinct mobility of two species in the one-dimensional massimbalanced Fermi-Hubbard model, realized with ultracold ytterbium atoms in a state-dependent optical lattice.By displacing the trap potential and monitoring the subsequent dynamical response of the system, we identify suppressed transport and slow relaxation with a strong dependence on the mass imbalance and interspecies interaction strength, consistent with eventual thermalization for long times.Our observations demonstrate the potential for quantum simulators to provide insights into unconventional relaxation dynamics arising from constraints.

arXiv:2011.12411Physical Review XAug 16, 202232 citations

Analysis of the Quantum Heat Transport under Non-Perturbative and Non-Markovian Conditions: The Hierarchical Equations of Motion Approach

Akihito Kato

Mar 23, 20170 citations

Realization of Hilbert Space Fragmentation and Fracton Dynamics in Two Dimensions

Melissa Will, Roderich Moessner, Frank Pollmann

We propose the strongly tilted Bose-Hubbard model as a natural platform to explore Hilbert-space fragmentation (HSF) and fracton dynamics in two dimensions in a setup and regime readily accessible in optical lattice experiments. Using a perturbative ansatz, we find HSF when the model is tuned to the resonant limit of on-site interaction and tilted potential. First, we investigate the quench dynamics of this system and observe numerically that the relaxation dynamics strongly depends on the chosen initial state-one of the key signatures of HSF. Second, we identify fractonic excitations with restricted mobility leading to anomalous transport properties. Specifically, we find excitations that show one-dimensional diffusion (z=1/2) as well as excitations that show subdiffusive behavior in two dimensions (z=3/4). Using a cellular automaton, we analyze their dynamics and compare it to an effective hydrodynamic description.We propose the strongly tilted Bose-Hubbard model as a natural platform to explore Hilbert-space fragmentation (HSF) and fracton dynamics in two dimensions in a setup and regime readily accessible in optical lattice experiments. Using a perturbative ansatz, we find HSF when the model is tuned to the resonant limit of on-site interaction and tilted potential. First, we investigate the quench dynamics of this system and observe numerically that the relaxation dynamics strongly depends on the chosen initial state-one of the key signatures of HSF. Second, we identify fractonic excitations with restricted mobility leading to anomalous transport properties. Specifically, we find excitations that show one-dimensional diffusion (z=1/2) as well as excitations that show subdiffusive behavior in two dimensions (z=3/4). Using a cellular automaton, we analyze their dynamics and compare it to an effective hydrodynamic description.

Physical Review LettersNov 6, 202411 citations

Subdiffusion and Heat Transport in a Tilted Two-Dimensional Fermi-Hubbard System

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Subdiffusion and Heat Transport in a Tilted Two-Dimensional Fermi-Hubbard System

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