Essays about: "Non-Hermitian Quantum Mechanics"

Found 4 essays containing the words Non-Hermitian Quantum Mechanics.

1. 1. Dynamics at an exceptional point in an interacting quantum dot system

   University essay from Lunds universitet/Fasta tillståndets fysik; Lunds universitet/Fysiska institutionen

   Author : William Samuelson; [2022]
   Keywords : Physics and Astronomy;

   Abstract : A fundamental postulate of quantum mechanics is that the Hamiltonian of a closed system is Hermitian, guaranteeing real-valued energies and conserved probabilities throughout the evolution of the system. However, for quantum systems where there is dissipation and crosstalk with the environment, such as a system of quantum dots connected to an environment of metallic leads, the dynamics of the system is instead generated by a non-Hermitian Liouvillian superoperator. READ MORE

3. 2. Wannier Functions in non-Hermitian Systems

   University essay from KTH/Fysik

   Author : Alberto Zorzato; [2022]
   Keywords : Theoretical Physics; Condensed Matter Physics; non-Hermitian Systems; Wannier Functions;

   Abstract : The scope of this thesis is analyzing and characterizing certain gapless states in tight-binding non-Hermitian systems. We start by providing a pedagogical introduction to tight-binding theory, topological phases of matter, Wannier functions as real-space duals of Bloch functions and their properties, non-Hermitian systems and associated differences from standard Hermitian systems. READ MORE

4. 3. Finite-dimensional PT-symmetric Hamiltonians with an application to neutrino oscillations

   University essay from KTH/Skolan för teknikvetenskap (SCI)

   Author : Alexander Fagerlund; Chistopher Ekman; [2020]
   Keywords : ;

   Abstract : In this report, we first briefly summarize Hermitian quantum mechanics before moving on to the non-Hermitian case. We then review PT-symmetric quantum mechanics with a focus on finite-dimensional systems, and include a novel generalization of a perturbative calculation of the C-operator. READ MORE

5. 4. Towards the Formation of the Antihydrogen Molecular Ion

   University essay from Stockholms universitet/Fysikum

   Author : Thomas Nerdi; [2020]
   Keywords : Antihydrogen; Resonance Scattering; Non-Hermitian Quantum Mechanics;

   Abstract : The ALPHA experiment at CERN is an ongoing project which tests fundamental symmetries between matter and antimatter by producing and trapping antihydrogen atoms in order to perform precision spectroscopic measurements. A logical next step is to form the antihydrogen molecular ion (consisting of one positron and two antiprotons). READ MORE