Drude weight and the many-body quantum metric in one-dimensional Bose systems

G Salerno, T Ozawa, P Törmä - Physical Review B, 2023 - APS
We study the effect of quantum geometry on the many-body ground state of one-dimensional
interacting bosonic systems. We find that the Drude weight is given by the sum of the kinetic …

Geometry-independent superfluid weight in multiorbital lattices from the generalized random phase approximation

M Tam, S Peotta - Physical Review Research, 2024 - APS
The superfluid weight of a generic lattice model with attractive Hubbard interaction is
computed analytically in the isolated band limit within the generalized random phase …

Unconventional superfluidity and quantum geometry of topological bosons

I Lukin, A Sotnikov, A Kruchkov - arXiv preprint arXiv:2307.08748, 2023 - arxiv.org
We investigate superfluidity of bosons in gapped topological bands and discover a new
phase that has no counterparts in the previous literature. This phase is characterized by a …

Lasing in Non-Hermitian Flat Bands: Quantum Geometry, Coherence, and the Fate of Kardar-Parisi-Zhang Physics

I Amelio, N Goldman - Physical review letters, 2024 - APS
We show that lasing in flat-band lattices can be stabilized by means of the geometrical
properties of the Bloch states, in settings where the single-particle dispersion is flat in both …

Quantum Geometry in Quantum Materials

J Yu, BA Bernevig, R Queiroz, E Rossi, P Törmä… - arXiv preprint arXiv …, 2024 - arxiv.org
Quantum geometry, characterized by the quantum geometric tensor, is pivotal in diverse
physical phenomena in quantum materials. In condensed matter systems, quantum …

Lasing, quantum geometry and coherence in non-Hermitian flat bands

I Amelio, N Goldman - arXiv preprint arXiv:2308.08418, 2023 - arxiv.org
We show that lasing in flat band lattices can be stabilized by means of the geometrical
properties of the Bloch states, in settings where the single-particle dispersion is flat in both …

Superfluid weight in the isolated band limit within the generalized random phase approximation

M Tam, S Peotta - arXiv preprint arXiv:2308.10780, 2023 - arxiv.org
The superfluid weight of a generic lattice model with attractive Hubbard interaction is
computed analytically in the isolated band limit within the generalized random phase …

Quantum geometry of bosonic Bogoliubov quasiparticles

I Tesfaye, A Eckardt - arXiv preprint arXiv:2406.12981, 2024 - arxiv.org
Topological and geometrical features arising in bosonic Bogoliubov-de Gennes (BdG)
systems have mainly been studied by utilizing a generalized symplectic version of the Berry …

Quantum-geometric contribution to the Bogoliubov modes in a two-band Bose-Einstein condensate

M Iskin - Physical Review A, 2023 - APS
We consider a weakly interacting Bose-Einstein condensate that is loaded into an optical
lattice with a two-point basis and described by a two-band Bose-Hubbard model with …

Transport of interacting particles through a flat Bloch band: superconductivity and all-optical switching

V Pyykkönen - 2024 - aaltodoc.aalto.fi
In lattice models, destructive interference can lead to formation of localized states, which
results in Bloch bands with a constant dispersion, called flat bands. Flat-band systems give a …