Spin transport in a Mott insulator of ultracold fermions

Nichols, Matthew; Cheuk, Lawrence; Okan, Melih; Hartke, Thomas; Mendez, Enrique; Senthil, T.; Khatami, Ehsan; Zhang, Hao; Zwierlein, Martin

doi:10.1126/science.aat4387

Cited by 165 publications

(133 citation statements)

References 61 publications

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“…The one-dimensional Hubbard model can depict systems from weakly to strongly correlated and model numerous phases of matter and related phase transitions, such as metallic, antiferromagnetic, Mott-insulator, superconductivity, and FFLO transition [18][19][20][21]. It is being widely used to study many physical systems, from coupled quantum dots, to molecules, to chains of atoms [22][23][24][25][26][27]. These are systems of importance, as hardware, to quantum technologies.…”

Section: A Hubbard Modelmentioning

confidence: 99%

Many-body effects on the thermodynamics of closed quantum systems

Skelt¹,

Zawadzki²,

D’Amico³

2019

J. Phys. A: Math. Theor.

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Thermodynamics of quantum systems out-of-equilibrium is very important for the progress of quantum technologies, however, the effects of many body interactions and their interplay with temperature, different drives and dynamical regimes is still largely unknown. Here we present a systematic study of these interplays: we consider a variety of interaction (from non-interacting to strongly correlated) and dynamical (from sudden quench to quasi-adiabatic) regimes, and draw some general conclusions in relation to work extraction and entropy production. As treatment of many-body interacting systems is highly challenging, we introduce a simple approximation which includes, for the average quantum work, many-body interactions only via the initial state, while the dynamics is fully non-interacting. We demonstrate that this simple approximation is surprisingly good for estimating both the average quantum work and the related entropy variation, even when many-body correlations are significant.

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Section: A Hubbard Modelmentioning

confidence: 99%

Many-body effects on the thermodynamics of closed quantum systems

Skelt¹,

Zawadzki²,

D’Amico³

2019

J. Phys. A: Math. Theor.

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“…Whereas early experiments probing the bulk transport properties of the system were typically performed far from the linear response regime [169,109,111], more recent ones [170] reach this limit and relate the measured transport observables to the thermodynamic properties of the system. Furthermore, diffusion measurements of the repulsive Fermi-Hubbard model have been recently exploited to characterize density and spin transport [171,172]. Interestingly, at low temperatures and away from halffilling, the experiments reveal anomalous particle transport and a linear dependence of the resistivity of the system with temperature, analogous to the strange metal behaviour observed in the cuprates [173,171].…”

Section: Outlook and Other Research Directionsmentioning

confidence: 98%

Quantum simulation of the Hubbard model with ultracold fermions in optical lattices

Tarruell

Sanchez-Palencia

2018

Comptes Rendus. Physique

142

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Ultracold atomic gases provide a fantastic platform to implement quantum simulators and investigate a variety of models initially introduced in condensed matter physics or other areas. One of the most promising applications of quantum simulation is the study of strongly correlated Fermi gases, for which exact theoretical results are not always possible with state-of-the-art approaches. Here, we review recent progress of the quantum simulation of the emblematic Fermi-Hubbard model with ultracold atoms. After introducing the Fermi-Hubbard model in the context of condensed matter, its implementation in ultracold atom systems, and its phase diagram, we review landmark experimental achievements, from the early observation of the onset of quantum degeneracy and superfluidity to demonstration of the Mott insulator regime and the emergence of long-range anti-ferromagnetic order. We conclude by discussing future challenges, including the possible observation of high-Tc superconductivity, transport properties, and the interplay of strong correlations and disorder or topology. To cite this article: L. Tarruell and L. Sanchez-Palencia, C. R. Physique X (2018). RésuméSimulation quantique du modèle de Hubbard avec des fermions ultrafroids dans des réseaux optiques. Les gaz atomiques ultrafroids offrent un excellente plateforme pour réaliser des simulateurs quantiques etétudier une grande diversité de modèles introduits initialement en physique de la matière condensée ou d'autres domaines. L'une des applications les plus prometteuses de la simulation quantique est l'étude des gaz de Fermi fortement corrélés, pour lesquels des résultats théoriques exacts ne sont pas toujours disponibles. Nous présentons ici une revue des progrès réalisés récemment sur la simulation quantique de l'emblématique modèle de Fermi-Hubbard avec des atomes ultrafroids. Après avoir présenté le modèle de Fermi-Hubbard dans le contexte de la matière condensée, sa réalisation avec des atomes ultrafroids et son diagramme de phase, nous présentons les réalisations expérimentales les plus marquantes, de l'observation initiale de l'apparition de la dégénérescence quantique et de la superfluidité fermioniquesà la mise enévidence du régime de l'isolant de Mott et de l'émergence d'un ordre anti-ferromagnétiqueà longue portée. Nous concluons par une discussion des défis futurs, dont la possibilité d'observer la supraconductivité a haute température, les propriétés de transport et la compétition de fortes corrélations et du désordre ou de la topologie. Pour citer cet article : L. Tarruell and L. Sanchez-Palencia, C. R. Physique X (2018).

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“…The synergy between advances such as single atom microscopy [12][13][14][15][16][17][18] in ultracold atom experiments and theoretical research is leading to a better understanding of the phase diagram of the Hubbard model. Important milestones include the observation of the Mott insulating phase [19][20][21][22], the measure of the * corresponding author: giovanni.sordi@rhul.ac.uk equation of state [23,24], the detection of short-range spin and charge correlations [25][26][27][28][29] and their implication for transport properties [30,31], the measure of entanglement [32][33][34][35], and the observation of long-range antiferromagnetism [36].…”

Section: Introductionmentioning

confidence: 99%

Critical opalescence across the doping-driven Mott transition in optical lattices of ultracold atoms

et al. 2019

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Phase transitions and their associated crossovers are imprinted in the behavior of fluctuations. Motivated by recent experiments on ultracold atoms in optical lattices, we compute the thermodynamic density fluctuations δN 2 of the two-dimensional fermionic Hubbard model with plaquette cellular dynamical mean-field theory. To understand the length scale of these fluctuations, we separate the local from the nonlocal contributions to δN 2 . We determine the effects of particle statistics, interaction strength U , temperature T and density n. At high temperature, our theoretical framework reproduces the experimental observations in the doping-driven crossover regime between metal and Mott insulator. At low temperature, there is an increase of thermodynamic density fluctuations, analog to critical opalescence, accompanied by a surprising reduction of the absolute value of their nonlocal contributions. This is a precursory sign of an underlying phase transition between a pseudogap phase and a metallic phase in doped Mott insulators, which should play an important role in the cuprate high-temperature superconductors. Predictions for ultracold atom experiments are made. arXiv:1902.00583v2 [cond-mat.quant-gas]

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Spin transport in a Mott insulator of ultracold fermions

Cited by 165 publications

References 61 publications

Many-body effects on the thermodynamics of closed quantum systems

Many-body effects on the thermodynamics of closed quantum systems

Quantum simulation of the Hubbard model with ultracold fermions in optical lattices

Critical opalescence across the doping-driven Mott transition in optical lattices of ultracold atoms

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