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We study high-harmonic generation (HHG) in the one-dimensional Hubbard model in order to understand its relation to elementary excitations as well as the similarities and differences to semiconductors. The simulations are based on the…

Strongly Correlated Electrons · Physics 2021-01-13 Yuta Murakami , Shintaro Takayoshi , Akihisa Koga , Philipp Werner

High-harmonic generation (HHG) in strongly correlated Mott insulators is investigated using exact diagonalization and time-dependent density-matrix propagation of a laser-driven one-dimensional Hubbard chain. By projecting onto equilibrium…

Optics · Physics 2026-05-05 Tao-Yuan Du , Hui-Ru Li , Bo Li , Ruifeng Lu

The strong-field induced generation of nonclassical states of light is not only a subject of fundamental research but also has potential usage in quantum information science and technology. The emerging field of strong-field quantum optics…

Quantum Physics · Physics 2025-03-21 Christian Saugbjerg Lange , Thomas Hansen , Lars Bojer Madsen

We investigate the effect of nonlocal interactions on the photo-doped Mott insulating state of the two-dimensional Hubbard model using a nonequilibrium generalization of the dynamical cluster approximation. In particular, we compare the…

Strongly Correlated Electrons · Physics 2020-02-26 Nikolaj Bittner , Denis Golez , Martin Eckstein , Philipp Werner

We employ dynamical density-matrix renormalization group (DDMRG) and field-theory methods to determine the frequency-dependent optical conductivity in one-dimensional extended, half-filled Hubbard models. The field-theory approach is…

Strongly Correlated Electrons · Physics 2009-11-07 F. H. L. Essler , F. Gebhard , E. Jeckelmann

Using Floquet dynamical mean-field theory, we study the high-harmonic generation in the time-periodic steady states of wide-gap Mott insulators under AC driving. In the strong-field regime, the harmonic intensity exhibits multiple plateaus,…

Strongly Correlated Electrons · Physics 2018-08-06 Yuta Murakami , Martin Eckstein , Philipp Werner

We show how many-body effects associated with background spin dynamics control the high-harmonic generation (HHG) in Mott insulators by analyzing the two-leg ladder Hubbard model. Spin dynamics activated by the interchain hopping $t_y$…

Strongly Correlated Electrons · Physics 2025-03-19 Yuta Murakami , Thomas Hansen , Shintaro Takayoshi , Lars Bojer Madsen , Philipp Werner

We study the high harmonic generation (HHG) in Mott insulators using Floquet dynamical mean-field theory (DMFT). We show that the main origin of the HHG in Mott insulators is the doublon-holon recombination, and that the character of the…

Strongly Correlated Electrons · Physics 2020-04-22 Yuta Murakami , Martin Eckstein , Philipp Werner

With a combination of numerical methods, including quantum Monte Carlo, exact diagonalization, and a simplified dynamical mean-field model, we consider the attosecond charge dynamics of electrons induced by strong-field laser pulses in…

Strongly Correlated Electrons · Physics 2021-10-08 Christopher Orthodoxou , Amelle Zaïr , George H. Booth

Using the Hubbard model we study how the process of high-order harmonic generation (HHG) is modified by beyond mean-field electron-electron correlation for both finite and bulk systems. A finite-size enhancement of the HHG signal is found…

Atomic Physics · Physics 2022-06-01 Thomas Hansen , Simon Vendelbo Bylling Jensen , Lars Bojer Madsen

Motivated by recent experiments on Mott insulators, in both iridates and ultracold atoms, we theoretically study the effects of magnetic order on the Mott-Hubbard excitons. In particular, we focus on spin-mediated doublon-holon pairing in…

Strongly Correlated Electrons · Physics 2024-04-23 T. -S. Huang , C. L. Baldwin , M. Hafezi , V. Galitski

Using Floquet theory and the hierarchy of correlations, we study the non-equilibrium dynamics of the Mott insulator state in the Fermi-Hubbard model under the influence of a harmonically oscillating electric field representing the pump…

Strongly Correlated Electrons · Physics 2023-09-06 Friedemann Queisser , Ralf Schützhold

High Harmonic Generation (HHG) promises to provide insight into ultrafast dynamics and has been at the forefront of attosecond physics since its discovery. One class of materials that demonstrate HHG are Mott insulators whose electronic…

Optics · Physics 2022-07-27 Jacob Masur , Denys I. Bondar , Gerard McCaul

Motivated by recent Raman and resonant inelastic X-ray scattering experiments performed for Mott insulators, which suggest formation of excitons in these systems, we present a theory of exciton formation in the upper Hubbard band. The…

Strongly Correlated Electrons · Physics 2009-11-07 P. Wrobel , R. Eder

The one-dimensional extended bosonic Hubbard model has been shown to exhibit a variety of phases ranging from Mott insulator and superfluid to exotic supersolids and Haldane insulators depending on the filling and the relative value of the…

Quantum Gases · Physics 2016-01-20 Benoît Grémaud , George G. Batrouni

High harmonic generation(HHG) is one of the most commonly studied nonlinear optical phenomena, originating in the ultrafast dynamics of electrons in atomic gasses and semiconductors. It has attracted much attention because of its…

Optics · Physics 2023-09-08 Akira Kofuji , Robert Peters

The undoped antiferromagnetic Mott insulator naturally has one charge carrier per lattice site. When it is doped with additional carriers, they are unstable to spin fluctuation-mediated Cooper pairing as well as other unconventional types…

We present a computational technique to calculate time and momentum resolved non-equilibrium spectral density of correlated systems using a tunneling approach akin scanning tunneling spectroscopy. The important difference is that our probe…

Strongly Correlated Electrons · Physics 2019-11-20 Krissia Zawadzki , Adrian E. Feiguin

We use nonequilibrium dynamical mean-field theory in combination with a recently implemented strong-coupling impurity solver to investigate the relaxation of a Mott insulator after a laser excitation with frequency comparable to the Hubbard…

Strongly Correlated Electrons · Physics 2013-05-29 Martin Eckstein , Philipp Werner

The high harmonic spectrum of the Mott insulating Hubbard model has recently been shown to exhibit plateau structures with cutoff energies determined by $n$th nearest neighbor doublon-holon recombination processes. The spectrum thus allows…

Strongly Correlated Electrons · Physics 2020-05-26 Markus Lysne , Yuta Murakami , Philipp Werner
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