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Q: Fachverband Quantenoptik und Photonik
Q 43: Ultracold Matter (Bosons) III (joint session Q/A)
Q 43.8: Vortrag
Mittwoch, 12. März 2025, 16:15–16:30, WP-HS
Gapless Hartree-Fock-Bogoliubov Theory for Bose-Bose Droplets — •Alexander Wolf1,2, Maxim Efremov2, and Axel Pelster3 — 1Institute of Quantum Physics and Center for Integrated Quantum Science and Technology (IQST), Ulm University, Ulm, Germany — 2German Aerospace Center (DLR), Institute of Quantum Technologies, Ulm, Germany — 3Department of Physics and Research Center OPTIMAS, Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau, Kaiserslautern, Germany
By generalizing the gapless Hartree-Fock-Bogoliubov theory for one component [1] to a Bose-Bose mixture, we develop a quantum droplet theory that unifies existing approaches. In addition to the condensate densities and depletions, both intra- and interspecies exchange as well as anomalous correlations are considered as variational parameters. The latter two require taking into account that two atoms in a Bose-Einstein condensate do not scatter in vacuum but inside a medium that dresses the collisions. We solve the resulting set of algebraic self-consistency equations at zero temperature for the special case of two identical components. Surprisingly, the equilibrium densities of the quantum droplets obtained with our approach perfectly agree with the results of quantum Monte-Carlo simulations [2] for all interspecies interactions with one minor discrepancy.
[1] N. P. Proukakis et al., Phys. Rev. A 58, 2435 (1998).
[2] V. Cikojević et al., Phys. Rev. A 99, 023618 (2019).
Keywords: Quantum Droplets; BEC Mixture; Hartree-Fock-Bogoliubov