Modelling Non-Markovian Quantum Systems Using Tensor Networks
Seiten
2020
|
1st ed. 2020
Springer International Publishing (Verlag)
978-3-030-54974-9 (ISBN)
Springer International Publishing (Verlag)
978-3-030-54974-9 (ISBN)
This thesis presents a revolutionary technique for modelling the dynamics of a quantum system that is strongly coupled to its immediate environment. This is a challenging but timely problem. In particular it is relevant for modelling decoherence in devices such as quantum information processors, and how quantum information moves between spatially separated parts of a quantum system.
The key feature of this work is a novel way to represent the dynamics of general open quantum systems as tensor networks, a result which has connections with the Feynman operator calculus and process tensor approaches to quantum mechanics. The tensor network methodology developed here has proven to be extremely powerful: For many situations it may be the most efficient way of calculating open quantum dynamics. This work is abounds with new ideas and invention, and is likely to have a very significant impact on future generations of physicists.
The key feature of this work is a novel way to represent the dynamics of general open quantum systems as tensor networks, a result which has connections with the Feynman operator calculus and process tensor approaches to quantum mechanics. The tensor network methodology developed here has proven to be extremely powerful: For many situations it may be the most efficient way of calculating open quantum dynamics. This work is abounds with new ideas and invention, and is likely to have a very significant impact on future generations of physicists.
Introduction.- Background.- Method.- Results.- Conclusion.
| Erscheinungsdatum | 02.09.2020 |
|---|---|
| Reihe/Serie | Springer Theses |
| Zusatzinfo | XV, 103 p. 64 illus., 15 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 337 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik |
| Naturwissenschaften ► Physik / Astronomie ► Quantenphysik | |
| Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
| Schlagworte | Efficient Non-Markovian Dynamics • Exact Quantum Dynamics • Feynman Operator Calculus • Feynman-Vernon Influence Functional • Non-Markovian Dynamics • Non-Markovian Quantum Systems • Open Quantum Systems • Spin-Boson Model • Tensor Networks • Time Non-local Quantum Mechanics |
| ISBN-10 | 3-030-54974-7 / 3030549747 |
| ISBN-13 | 978-3-030-54974-9 / 9783030549749 |
| Zustand | Neuware |
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