Three-dimensional dynamics of a fermionic Mott wedding-cake in clean and disordered optical lattices.
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In this paper, the authors consider the Mott phase of the Hubbard model in a setup similar to ultracold-gases experiments and study the three-dimensional expansion of a cloud into an optical lattice after removing the confining potential.Abstract:
Non-equilibrium quantum phenomena are ubiquitous in nature. Yet, theoretical predictions on the real-time dynamics of many-body quantum systems remain formidably challenging, especially for high dimensions, strong interactions or disordered samples. Here we consider a notable paradigm of strongly correlated Fermi systems, the Mott phase of the Hubbard model, in a setup resembling ultracold-gases experiments. We study the three-dimensional expansion of a cloud into an optical lattice after removing the confining potential. We use time-dependent density-functional theory combined with dynamical mean-field theory, considering interactions below and above the Mott threshold, as well as disorder effects. At strong coupling, we observe multiple timescales in the melting of the Mott wedding-cake structure, as the Mott plateau persist orders of magnitude longer than the band insulating core. We also show that disorder destabilises the Mott plateau and that, compared to a clean setup, localisation can decrease, creating an interesting dynamic crossover during the expansion.read more
Citations
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The Hubbard dimer: a density functional case study of a many-body problem.
TL;DR: In this article, the relationship between density functional theory and strongly correlated models using the simplest possible example, the two-site Hubbard model, is explained using the Levy-Lieb construction.
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Linear response time-dependent density functional theory of the Hubbard dimer
TL;DR: The asymmetric Hubbard dimer was used to study the density-dependence of the exact frequency-dependent kernel of linear-response time-dependent density functional theory as mentioned in this paper, and the limitations of the adiabatic approximation utilizing the exact ground-state functional are shown.
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Transport through correlated systems with density functional theory.
TL;DR: In this paper, a steady-state density functional theory (DFT) was proposed for quantum transport, with particular emphasis on transport through strongly correlated systems, and the quantum transport problem was treated from a time-dependent (TD) perspective using TDDFT, an exact framework to deal with nonequilibrium situations.
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The Hubbard Dimer: A density functional case study of a many-body problem
TL;DR: This review explains the relationship between density functional theory and strongly correlated models using the simplest possible example, the two-site Hubbard model, and explores the behavior of the gap and the many-body Green's function, demonstrating the 'failure' of the Kohn-Sham (KS) method to reproduce the fundamental gap.
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Localization of weakly interacting bosons in two dimensions: disorder vs lattice geometry effects
TL;DR: In this article, the effects of disorder and lattice geometry against localisation phenomena in a weakly interacting ultracold bosonic gas confined in a 2D optical lattice were investigated.
References
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Journal ArticleDOI
Self-Consistent Equations Including Exchange and Correlation Effects
Walter Kohn,L. J. Sham +1 more
TL;DR: In this paper, the Hartree and Hartree-Fock equations are applied to a uniform electron gas, where the exchange and correlation portions of the chemical potential of the gas are used as additional effective potentials.
Journal ArticleDOI
Inhomogeneous Electron Gas
P. C. Hohenberg,Walter Kohn +1 more
TL;DR: In this article, the ground state of an interacting electron gas in an external potential was investigated and it was proved that there exists a universal functional of the density, called F[n(mathrm{r})], independent of the potential of the electron gas.
Journal ArticleDOI
Density-Functional Theory for Time-Dependent Systems
Erich Runge,E. K. U. Gross +1 more
TL;DR: In this article, a time-dependent version of density functional theory was proposed to deal with the non-perturbative quantum mechanical description of interacting many-body systems moving in a very strong timedependent external field.
Journal ArticleDOI
Many-Body Physics with Ultracold Gases
TL;DR: In this article, a review of recent experimental and theoretical progress concerning many-body phenomena in dilute, ultracold gases is presented, focusing on effects beyond standard weakcoupling descriptions, such as the Mott-Hubbard transition in optical lattices, strongly interacting gases in one and two dimensions, or lowest-Landau-level physics in quasi-two-dimensional gases in fast rotation.
Journal ArticleDOI
Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions
TL;DR: The dynamical mean field theory of strongly correlated electron systems is based on a mapping of lattice models onto quantum impurity models subject to a self-consistency condition.