158 citations · 641 across the 25 of their papers we have counts for
25 papers
Uniqueness of Landau levels and their analogs with higher Chern numbers
Bruno Mera, Tomoki Ozawa
Landau levels are the eigenstates of a charged particle in two dimensions under a magnetic field, and are at the heart of the integer and fractional quantum Hall effects, which are…
Singular connection approach to topological phases and resonant optical responses
Bruno Mera, Tomoki Ozawa
We introduce a class of singular connections as an alternative to the Berry connection for any family of quantum states defined over a parameter space. We find a natural applicatio…
Experimental demonstration of topological bounds in quantum metrology
Min Yu, Xiangbei Li, Yaoming Chu +6
Quantum metrology is deeply connected to quantum geometry, through the fundamental notion of quantum Fisher information. Inspired by advances in topological matter, it was recently…
Nontrivial quantum geometry of degenerate flat bands
Bruno Mera, Johannes Mitscherling
The importance of the quantum metric in flat-band systems has been noticed recently in many contexts such as the superfluid stiffness, the dc electrical conductivity, and ideal Che…
Information geometry of quantum critical submanifolds: relevant, marginal and irrelevant operators
Bruno Mera, Nikola Paunković, Syed Tahir Amin +1
We analyze the thermodynamical limit of the quantum metric along critical submanifolds of theory space. Building upon various results previously known in the literature, we relate…
Laughlin states change under large geometry deformations and imaginary time Hamiltonian dynamics
Gabriel Matos, Bruno Mera, José M. Mourão +2
We study the change of the Laughlin states under large deformations of the geometry of the sphere and the plane, associated with Mabuchi geodesics on the space of metrics with Hami…