2017/02/06 by Thomas Lettau, T. Lettau, H. A. M. Leymann +2
Computer Science · Mathematics · Physics and Astronomy · #Basis (linear algebra) #Classical mechanics #Dephasing #Dissipative system #Exciton #Hamiltonian (control theory) #Master equation #Mathematics #Physics #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum dot #Quantum mechanics #Semiconductor Quantum Structures and Devices #Statistical physics #cond-mat.mes-hall #physics.optics #quant-ph
paper · pdf · doi:10.1103/physrevb.95.085314
published as Phys. Rev. B 95, 085314 (2017)
arxiv created 2017/02/06 · openalex publication_date 2017/02/28 · arxiv updated 2017/03/08 · openalex created_date 2017/03/16 · openalex updated_date 2026/08/05
We analyze quantum dot models used in current research for misconceptions that arise from the choice of basis states for the carriers. The examined models originate from semiconductor quantum optics, but the illustrated conceptional problems are not limited to this field. We demonstrate how the choice of basis states can imply a factorization scheme that leads to an artificial dependency between two, actually independent, quantities. Furthermore, we consider an open quantum dot-cavity system and show how the dephasing, generated by the dissipator in the von Neumann Lindblad equation, depends on the choice of basis states that are used to construct the collapse operators. We find that the Rabi oscillations of the s-shell exciton are either dephased by the dissipative decay of the p-shell exciton or remain unaffected, depending on the choice of basis states. In a last step we resolve this discrepancy by taking the full system-reservoir interaction Hamiltonian into account.