Numerical methods for complex quantum dynamics with applications to quantum biology and quantum many-body dynamics
FakultätenFakultät für Naturwissenschaften
Multi-component quantum systems that interact strongly with their environments are difficult to simulate numerically. This challenge is approached by introducing the numerically exact Time Evolving Density Matrix with Orthogonal Polynomial Algorithm (TEDOPA). The application of this algorithm allows for the efficient simulation of open quantum system dynamics, including spin-boson models and generalizations of it to multi-component systems. In this thesis, TEDOPA is introduced and applied to pigment-protein complexes that play a key role in the photosynthetic process and that have been studied extensively in the last years. Further methodical and numerical improvements of TEDOPA are developed, resulting in major speed-ups for certain parameter regimes.
Erstellung / Fertigstellung
Normierte SchlagwörterNumerisches Verfahren [GND]
Numerical methods and algorithms [LCSH]
Quantum information processing [LCSH]
Quantum mechanics [LCSH]
Quantum systems [LCSH]
Quantum theory [LCSH]
SchlagwörterComplex quantum dynamics; Matrix product states and operators; Quantum biology; Quantum many-body systems
DDC-SachgruppeDDC 530 / Physics
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