Observation of supersymmetric pseudo-Landau levels in strained microwave graphene

Bellec, Matthieu; Poli, Charles; Kuhl, Ulrich; Mortessagne, Fabrice; Schomerus, Henning

doi:10.1038/s41377-020-00351-2

Cited by 38 publications

(19 citation statements)

References 38 publications

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“…Alternatively, as reported in Ref. [72], a loop antenna mounted on a scanning system connected to a vectorial network analyzer can be used to collect the signal, both spectrally and spatially resolved, and further allows one to obtain the local density of states.…”

Section: Discussionmentioning

confidence: 99%

Interplay of quantum phase transition and flat band in hybrid lattices

Zhu

Ramezani

Emary

et al. 2020

Phys. Rev. Research

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We establish a connection between quantum phase transitions (QPTs) and energy band theory in an extended Dicke-Hubbard lattice, where the periodical critical curves modulated by wave number k leads to rich equilibrium dynamics. Interestingly, the chiral-symmetry-protected flat band and the localization that it engenders exclusively occurs in the normal phase and disappears in the superradiant phase. This originates from the QPT induced simultaneous breaking up of the on-site resonance condition and off-site chiral symmetry of the system, which prohibits the destructive interference for obtaining a flat band. Our work offers an approach to identify different phases of the lattice via detecting the flat bands or simply the related localizations in a single cell, and, in turn, to control the appearance of flat bands by QPT.

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Section: Discussionmentioning

confidence: 99%

Interplay of quantum phase transition and flat band in hybrid lattices

Zhu

Ramezani

Emary

et al. 2020

Phys. Rev. Research

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“…For both sets of bands, we observe the localization of the n = 0 Landau level wavefunction in one sublattice, illustrating the specificity of pseudomagnetic fields compared to real ones (see Ref. 37 for an implementation in the microwave regime). We also report propagating helical edge states associated to the n = 0 Landau level.…”

Section: Introductionmentioning

confidence: 53%

Observation of Photonic Landau Levels in Strained Honeycomb Lattices

Jamadi

Rozas

Milićević

et al. 2019

2019 Conference on Lasers and Electro-Optics Europe &Amp; European Quantum Electronics Conference (CLEO/Europe-EQEC)

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We report the realization of a synthetic magnetic field for photons and polaritons in a honeycomb lattice of coupled semiconductor micropillars. A strong synthetic field is induced both in s and p orbital bands by engineering a uniaxial hopping gradient in the lattice, giving rise to the formation of Landau levels at the Dirac points. We provide direct evidence of the sublattice symmetry breaking of the lowest order Landau level wavefunction, a distinctive feature of synthetic magnetic fields. Our realization implements helical edge states in the gap between n = 0 and n = ±1 Landau levels demonstrating experimentally a novel way of engineering propagating edge states in photonic lattices. In the light of recent advances on the enhancement of polariton-polariton nonlinearities, the highly degenerate Landau levels here reported are promising for the study of strongly correlated photonic phases.

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“…Instead, strain can be mimicked by displacing the lattice sites according to the most convenient profile [72][73][74][75][76][77]. The physics of strained honeycomb lattices has been investigated in photonic systems with arrays of optical waveguides [78], microwave resonators [79], excitonpolaritons [80], and in acoustic metamaterials [81]. In contrast, optical-lattice potentials for ultracold atoms are typically rigid: their perfect periodicity is generally fixed by the lasers wavelength.…”

Section: Introductionmentioning

confidence: 99%

Strain and pseudo-magnetic fields in optical lattices from density-assisted tunneling

Jamotte,

Goldman,

Di Liberto

2021

Preprint

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Applying time-periodic modulations is routinely used to control and design synthetic matter in quantum-engineered settings. In lattice systems, this approach is explored to engineer band structures with non-trivial topological properties, but also to generate exotic interaction processes. A prime example is density-assisted tunneling, by which the hopping amplitude of a particle between neighboring sites explicitly depends on their respective occupations. Here, we show how densityassisted tunneling can be tailored in view of simulating the effects of strain in synthetic graphene-type systems. Specifically, we consider a mixture of two atomic species on a honeycomb optical lattice: one species forms a Bose-Einstein condensate in an anisotropic harmonic trap, whose inhomogeneous density profile induces an effective uniaxial strain for the second species through density-assisted tunneling processes. In direct analogy with strained graphene, the second species experiences a pseudo magnetic field, hence exhibiting relativistic Landau levels and the valley Hall effect. Our proposed scheme introduces a unique platform for the investigation of strain-induced gauge fields and their possible interplay with quantum fluctuations and collective excitations.

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Observation of supersymmetric pseudo-Landau levels in strained microwave graphene

Cited by 38 publications

References 38 publications

Interplay of quantum phase transition and flat band in hybrid lattices

Interplay of quantum phase transition and flat band in hybrid lattices

Observation of Photonic Landau Levels in Strained Honeycomb Lattices

Strain and pseudo-magnetic fields in optical lattices from density-assisted tunneling

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