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Symmetry-Induced Logarithmic Relaxation in the Quantum Kicked Rotor
Julien Hébraud, Floriane Arrouas, Bruno Peaudecerf +6
We study the effect of discrete symmetries on coherent multiple scattering in the quantum kicked rotor. When the initial momentum is set to zero -- as in recent Bose-Einstein conde…
Coherent forward scattering as a robust probe of multifractality in critical disordered media
Maxime Martinez, Gabriel Lemarié, Bertrand Georgeot +2
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…
Critical properties of the Anderson transition in random graphs: two-parameter scaling theory, Kosterlitz-Thouless type flow and many-body localization
Ignacio García-Mata, John Martin, Olivier Giraud +3
The Anderson transition in random graphs has raised great interest, partly because of its analogy with the many-body localization (MBL) transition. Unlike the latter, many results…
Symmetry Violation of Quantum Multifractality: Gaussian fluctuations versus Algebraic Localization
A. M. Bilen, B. Georgeot, O. Giraud +2
Quantum multifractality is a fundamental property of systems such as non-interacting disordered systems at an Anderson transition and many-body systems in Hilbert space. Here we di…
Coherent Forward Scattering Peak and Multifractality
Maxime Martinez, Gabriel Lemarié, Bertrand Georgeot +2
It has recently been shown that interference effects in disordered systems give rise to two non-trivial structures: the coherent backscattering (CBS) peak, a well-known signature o…
Probing symmetries of quantum many-body systems through gap ratio statistics
Olivier Giraud, Nicolas Macé, Eric Vernier +1
The statistics of gap ratios between consecutive energy levels is a widely used tool, in particular in the context of many-body physics, to distinguish between chaotic and integrab…