Towards an analytical solution for the triple quantum dot shuttle

DOI10.1016/j.aop.2022.168812zbMath1487.81100OpenAlexW4214818849MaRDI QIDQ832583

Prat Vázquez Peralta, E. Cota

Publication date: 25 March 2022

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aop.2022.168812

zbMATH Keywords

linearized TQDS analytical eigenvectorslinearized TQDS HamiltonianSchrödinger equation in Bergman spaceTQDS

Mathematics Subject Classification ID

Three-body problems (70F07) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Resonance in context of PDEs (35B34) Equations linearized about a deformed state (small deformations superposed on large) (74B15) Quantum dots, waveguides, ratchets, etc. (81Q37) Bergman spaces and Fock spaces (30H20) Tunneling in quantum theory (81U26)

Related Items (1)

An Analytical solution for a spin-1 Hamiltonian in the adiabatic approximation

Cites Work

• Analytical eigenstates for the quantum Rabi model
• The quantum Rabi model: solution and dynamics
• Two-level system in a one-mode quantum field: numerical solution on the basis of the operator method

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