SAMOP 2023 – wissenschaftliches Programm

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QI: Fachverband Quanteninformation

QI 37: Quantum Many Body Systems

QI 37.7: Vortrag

Freitag, 10. März 2023, 16:00–16:15, F428

Series expansions in open and non-Hermitian quantum many-body systems with multiple quasi-particle types — •Lea Lenke, Andreas Schellenberger, and Kai Phillip Schmidt — FAU Erlangen-Nürnberg

The established approach of perturbative continuous unitary transformations (pCUT) constructs effective quantum many-body Hamiltonians in a perturbative series that conserve the number of one quasi-particle type. We extend the pCUT method to similarity transformations – dubbed pcut⁺⁺ – allowing for multiple quasi-particle-types with complex-valued energies. This enlarges the field of application to closed and open quantum many-body systems with unperturbed operators corresponding to arbitrary superimposed ladder spectra. To this end a generalized counting operator is combined with the quasi-particle generator for open quantum systems recently introduced by Schmiedinghoff and Uhrig [1]. The pcut⁺⁺ then yields model-independent quasi-particle conserving effective Hamiltonians and Lindbladians allowing a linked-cluster expansion similar to the conventional pCUT method. We illustrate the application of the pcut⁺⁺ method by discussing representative open and non-Hermitian quantum systems.

[1] G. Schmiedinghoff and G. S. Uhrig, “Efficient flow equations for dissipative systems”, (2022), arXiv:2203.15532 [cond-mat.quant-ph].