Competition between pair and single-particle superfluidity in bosonic quasi-flat bands: A Gaussian state approach

Fuente: arXiv
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Main Authors: Burgher, Maxime, Loddo, Simon, Vanderstraeten, Laurens, Goldman, Nathan, Amelio, Ivan
Format: Preprint
Published: 2026
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author Burgher, Maxime
Loddo, Simon
Vanderstraeten, Laurens
Goldman, Nathan
Amelio, Ivan
author_facet Burgher, Maxime
Loddo, Simon
Vanderstraeten, Laurens
Goldman, Nathan
Amelio, Ivan
contents The interplay between interactions and quantum geometry can drive weakly dispersive bosons into different exotic many-body phases. In this work we study a quasi flat-band model in one dimension that exhibits an extended pair-superfluid phase in the all-flat-band limit. Introducing single-particle hopping leads to an intriguing competition with a more conventional single-particle superfluid: we find that the pair superfluid remains stable for a finite range of the hopping strength until the system eventually transitions into the conventional superfluid phase. In our study, we make use of a variational Gaussian state approach that provides a unified description of the single-particle and pair superfluid phases, regarding both the ground state wavefunction and the collective excitation spectrum. In particular, we derive a general relation between the speed of sound and a ``quantum geometric kernel'', thereby extending earlier connections to the quantum metric, which relied on single-particle mean-field theory. This approach is combined with insights from the two-boson problem and exact diagonalization to map out the full phase diagram of the model. Our results show that the Gaussian approach is a versatile tool for studying a broad range of superfluid phases of interacting bosons in multi-orbital lattices.
format Preprint
id arxiv_https___arxiv_org_abs_2605_26231
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Competition between pair and single-particle superfluidity in bosonic quasi-flat bands: A Gaussian state approach
Burgher, Maxime
Loddo, Simon
Vanderstraeten, Laurens
Goldman, Nathan
Amelio, Ivan
Quantum Gases
The interplay between interactions and quantum geometry can drive weakly dispersive bosons into different exotic many-body phases. In this work we study a quasi flat-band model in one dimension that exhibits an extended pair-superfluid phase in the all-flat-band limit. Introducing single-particle hopping leads to an intriguing competition with a more conventional single-particle superfluid: we find that the pair superfluid remains stable for a finite range of the hopping strength until the system eventually transitions into the conventional superfluid phase. In our study, we make use of a variational Gaussian state approach that provides a unified description of the single-particle and pair superfluid phases, regarding both the ground state wavefunction and the collective excitation spectrum. In particular, we derive a general relation between the speed of sound and a ``quantum geometric kernel'', thereby extending earlier connections to the quantum metric, which relied on single-particle mean-field theory. This approach is combined with insights from the two-boson problem and exact diagonalization to map out the full phase diagram of the model. Our results show that the Gaussian approach is a versatile tool for studying a broad range of superfluid phases of interacting bosons in multi-orbital lattices.
title Competition between pair and single-particle superfluidity in bosonic quasi-flat bands: A Gaussian state approach
topic Quantum Gases
url https://arxiv.org/abs/2605.26231