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Q: Fachverband Quantenoptik und Photonik

Q 13: Ultracold Matter (Bosons) I (joint session Q/A)

Q 13.1: Vortrag

Montag, 10. März 2025, 17:00–17:15, HS I PI

Quantum geometry of bosonic Bogoliubov quasiparticles — •Isaac Tesfaye and André Eckardt — Institut für Theoretische Physik, Technische Universität Berlin Hardenbergstraße 36, 10623 Berlin, Germany

Topological features arising bosonic Bogoliubov-de Gennes (BBdG) systems have mainly been studied by utilizing a generalized symplectic version of the Berry curvature and Chern number. However, the characterization of the geometrical features in BBdG systems is still lacking. Here, we propose a symplectic quantum geometric tensor (SQGT) whose imaginary part leads to the previously studied symplectic Berry curvature, while the real part gives rise to a symplectic quantum metric, providing a natural distance measure in the space of bosonic Bogoliubov modes. We show that all components of the SQGT are measurable by extracting excitation rates in response to periodic modulations of the systems’ parameters. Moreover, we connect the symplectic Berry curvature to a generalized symplectic anomalous velocity term for Bogoliubov Bloch wave packets. We test our results for a bosonic Bogoliubov-Haldane model. Our results open new avenues for the quantum geometrical characterization of Bose condensed and parametrically driven photonic quantum systems.

[1] I. Tesfaye and A. Eckardt, arXiv:2406.12981.

[2] R. Shindou et al., Phys. Rev. B 87, 174427 (2013).

[3] S. Furukawa and M. Ueda, New J. Phys. 17, 115014 (2015).

[4] V. Peano et al., Nat Commun 7, 10779 (2016).

[5] G. Engelhardt and T. Brandes, Phys. Rev. A 91, 053621 (2015).

Keywords: Bogoliubov; Geometry; Topology; Bosons; BEC