Quantum logarithmic multifractality

Autor: Weitao Chen, Olivier Giraud, Jiangbin Gong, Gabriel Lemarié

Publikováno v: Physical Review Research, Vol 6, Iss 3, p L032024 (2024)

Through a combination of rigorous analytical derivations and extensive numerical simulations, this work reports an exotic multifractal behavior, dubbed “logarithmic multifractality,” in effectively infinite-dimensional systems undergoing the Ande

Externí odkaz: https://doaj.org/article/c694002cb6a5451ba254a78dcbe4a286

Coherent forward scattering peak and multifractality

Autor: Maxime Martinez, Gabriel Lemarié, Bertrand Georgeot, Christian Miniatura, Olivier Giraud

Publikováno v: Physical Review Research, Vol 3, Iss 3, p L032044 (2021)

It has recently been shown that interference effects in disordered systems give rise to two nontrivial structures: the coherent backscattering (CBS) peak, a well-known signature of interference effects in the presence of disorder, and the coherent fo

Externí odkaz: https://doaj.org/article/e79aff9ece7244e78605f24385c0801d

Chain breaking and Kosterlitz-Thouless scaling at the many-body localization transition in the random-field Heisenberg spin chain

Autor: Nicolas Laflorencie, Gabriel Lemarié, Nicolas Macé

Publikováno v: Physical Review Research, Vol 2, Iss 4, p 042033 (2020)

Despite tremendous theoretical efforts to understand subtleties of the many-body localization (MBL) transition, many questions remain open, in particular concerning its critical properties. Here we make the key observation that MBL in one dimension i

Externí odkaz: https://doaj.org/article/c273a4af65e64984b2244813cb5aa3fa

Coherent forward scattering as a robust probe of multifractality in critical disordered media

Autor: Maxime Martinez, Gabriel Lemarié, Bertrand Georgeot, Christian Miniatura, Olivier Giraud

Publikováno v: SciPost Physics
SciPost Physics, 2023, 14 (3), pp.057. ⟨10.21468/SciPostPhys.14.3.057⟩

We study coherent forward scattering (CFS) in critical disordered systems, whose eigenstates are multifractals. We give general and simple arguments that make it possible to fully characterize the dynamics of the shape and height of the CFS peak. We

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9daf70c8f49e4f646af3815284db422e

Chaos-assisted long-range tunneling for quantum simulation

Autor: Gabriel Lemarié, Bertrand Georgeot, David Guéry-Odelin, Maxime Martinez, Juliette Billy, Olivier Giraud, Denis Ullmo

Publikováno v: Physical Review Letters
Physical Review Letters, American Physical Society, 2021, 126, pp.174102. ⟨10.1103/PhysRevLett.126.174102⟩
Physical Review Letters, American Physical Society, 2021, 126 (17), ⟨10.1103/PhysRevLett.126.174102⟩
Physical Review Letters, 2021, 126, pp.174102. ⟨10.1103/PhysRevLett.126.174102⟩

We present an extension of the chaos-assisted tunneling mechanism to spatially periodic lattice systems. We demonstrate that driving such lattice systems in an intermediate regime of modulation maps them onto tight-binding Hamiltonians with chaos-ind

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7b6c87dd3c53db93977b44127e0c9071
https://hal.archives-ouvertes.fr/hal-02987847