273 citations · 763 across the 11 of their papers we have counts for
9 papers · 1 filter
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…
Chain breaking and Kosterlitz-Thouless scaling at the many-body localization transition in the random field Heisenberg spin chain
Nicolas Laflorencie, Gabriel Lemarié, Nicolas Macé
Despite tremendous theoretical efforts to understand subtleties of the many-body localization (MBL) transition, many questions remain open, in particular concerning its critical pr…
Quantum circuit at criticality
Nicolas Macé
We study a simple quantum circuit model which, without need for fine tuning, is very close to sitting at the transition between ergodic and many-body localized (MBL) phases. We pro…
From eigenstate to Hamiltonian: Prospects for ergodicity and localization
Maxime Dupont, Nicolas Macé, Nicolas Laflorencie
This paper addresses the so-called inverse problem which consists in searching for (possibly multiple) parent target Hamiltonian(s), given a single quantum state as input. Starting…
Multifractal Scalings across the Many-Body Localization Transition
Nicolas Macé, Fabien Alet, Nicolas Laflorencie
In contrast with Anderson localization where a genuine localization is observed in real space, the many-body localization (MBL) problem is much less understood in the Hilbert space…
Many-body localization in a quasiperiodic Fibonacci chain
Nicolas Macé, Nicolas Laflorencie, Fabien Alet
We study the many-body localization (MBL) properties of a chain of interacting fermions subject to a quasiperiodic potential such that the non-interacting chain is always delocaliz…
Shift-invert diagonalization of large many-body localizing spin chains
Francesca Pietracaprina, Nicolas Macé, David J. Luitz +1
We provide a pedagogical review on the calculation of highly excited eigenstates of disordered interacting quantum systems which can undergo a many-body localization (MBL) transiti…
Critical eigenstates and their properties in one and two dimensional quasicrystals
Nicolas Macé, Anuradha Jagannathan, Pavel Kalugin +2
We present exact solutions for some eigenstates of hopping models on one and two dimensional quasiperiodic tilings and show that they are "critical" states, by explicitly computing…
Gap structure of 1D cut and project Hamiltonians
Nicolas Macé, Anuradha Jagannathan, Frédéric Piéchon
We study the gap properties of nearest neighbors tight binding models on quasiperiodic chains. We argue that two kind of gaps should be distinguished: stable and transient. We show…