Electromagnetic coupling in tight-binding models for strongly correlated light and matter

Li, Jiajun; Golež, Denis; Mazza, Giacomo; Millis, Andrew J.; Georges, Antoine; Eckstein, Martin

doi:10.1103/physrevb.101.205140

Cited by 93 publications

(67 citation statements)

References 37 publications

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“…We further note that the macroscopic QED framework, that is treating the material as a refractive index, also has its limitations. Complementary approaches connecting to electronic structure theory [123], quantum chemistry [124], and condensed matter physics [125] are available for a variety of parameter regimes and, while often being computationally demanding, allow to fully integrate associated effects.…”

Section: A Green's Function and Macroscopic Qedmentioning

confidence: 99%

Ab initio quantum models for thin-film x-ray cavity QED

Lentrodt

Heeg

Keitel

et al. 2020

Phys. Rev. Research

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We develop two ab initio quantum approaches to thin-film x-ray cavity quantum electrodynamics with spectrally narrow x-ray resonances, such as those provided by Mössbauer nuclei. The first method is based on a few-mode description of the cavity, and promotes and extends existing phenomenological few-mode models to an ab initio theory. The second approach uses analytically known Green's functions to model the system. The two approaches not only enable one to ab initio derive the effective few-level scheme representing the cavity and the nuclei in the low-excitation regime, but also provide a direct avenue for studies at higher excitation, involving nonlinear or quantum phenomena. The ab initio character of our approaches further enables direct optimizations of the cavity structure and thus of the photonic environment of the nuclei, to tailor the effective quantum optical level scheme towards particular applications. To illustrate the power of the ab initio approaches, we extend the established quantum optical modeling to resonant cavity layers of arbitrary thickness, which is essential to achieve quantitative agreement for cavities used in recent experiments. Further, we consider multilayer cavities featuring electromagnetically induced transparency, derive their quantum optical few-level systems ab initio, and identify the origin of discrepancies in the modeling found previously using phenomenological approaches as arising from cavity field gradients across the resonant layers.

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Section: A Green's Function and Macroscopic Qedmentioning

confidence: 99%

Ab initio quantum models for thin-film x-ray cavity QED

Lentrodt

Heeg

Keitel

et al. 2020

Phys. Rev. Research

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show abstract

“…Here μ l,i;l , j = l, i|D|l , j is the matrix element of the dipole moment operator for the (l , j) → (l, i) transition. Note that here we did not use the so-called multicenter Power-Zienau-Woolley transformation [48], which is appropriate for the more general case of a nonuniform electromagnetic field, and for which the Peierls phase [49] emerges in addition to the dipole interaction. It is also noteworthy that even though the gauge invariance would break down by a truncation of the full Hilbert space to a few lowest-energy bands, the difference between results obtained by using different gauges is only significant in the ultrastrong coupling regime, where the light-matter interaction is comparable in magnitude with the transition frequency of the system [50], as opposed to the typically weak-coupling regime of spectroscopic measurements under consideration.…”

Section: Systemmentioning

confidence: 99%

Direct and ultrafast probing of quantum many-body interactions through coherent two-dimensional spectroscopy: From weak- to strong-interaction regimes

Phuc

Trung

2021

Phys. Rev. B

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Interactions between particles in quantum many-body systems play a crucial role in determining the electric, magnetic, optical, and thermal properties of the system. The recent progress in the laser-pulse technique has enabled the manipulations and measurements of physical properties on ultrafast timescales. Here we propose a method for the direct and ultrafast probing of quantum many-body interaction through coherent two-dimensional (2D) spectroscopy. Using a two-band fermionic Hubbard model for the minimum two-site lattice system, we find that the 2D spectrum of a noninteracting system contains only diagonal peaks; the interparticle interaction manifests itself in the emergence of off-diagonal peaks in the 2D spectrum before all the peaks coalesce into a single diagonal peak as the system approaches the strongly interacting limit. The evolution of the 2D spectrum as a function of the time delay between the second and third laser pulses can provide important information on the ultrafast time variation of the interaction.

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“…and k x (t ) = k x − A cos( t ) and k y (t ) = k y − A sin( t ). Here we used a minimal coupling procedure that is valid for nottoo-strong couplings to the electromagnetic field [86]. The vector potential enters in the same way near both the K and K points.…”

Section: Driven System In Free Spacementioning

confidence: 99%

Floquet engineering of twisted double bilayer graphene

Rodriguez-Vega

Vogl

Fiete

2020

Phys. Rev. Research

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Motivated by the recent experimental realization of twisted double bilayer graphene (TDBG) samples, we study, both analytically and numerically, the effects of circularly polarized light propagating in free space and confined in a waveguide on the band structure and topological properties of these systems. These two complementary Floquet protocols allow us to selectively tune different parameters of the system by varying the intensity and light frequency. For the drive protocol in free space, in the high-frequency regime, we find that in TDBG with AB/BA stacking, we can selectively close the zone-center quasienergy gaps around one valley while increasing the gaps near the opposite valley by tuning the parameters of the drive. In TDBG with AB/AB stacking, a similar effect can be obtained upon the application of a perpendicular static electric field. Furthermore, we study the topological properties of the driven system in different settings, provide accurate effective Floquet Hamiltonians, and show that relatively strong drives can generate flat bands. On the other hand, longitudinal light confined in a waveguide couples to the components of the interlayer hopping that are perpendicular to the TDBG sheet, allowing for selective engineering of the bandwidth of Floquet zone-center quasienergy bands without breaking the symmetries of the static system.

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Electromagnetic coupling in tight-binding models for strongly correlated light and matter

Cited by 93 publications

References 37 publications

Ab initio quantum models for thin-film x-ray cavity QED

Ab initio quantum models for thin-film x-ray cavity QED

Direct and ultrafast probing of quantum many-body interactions through coherent two-dimensional spectroscopy: From weak- to strong-interaction regimes

Floquet engineering of twisted double bilayer graphene

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