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Quantum Master Equations: Tips and Tricks for Quantum Optics, Quantum Computing, and Beyond

delete2024-06-10
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OA
AI
F
Francesco Campaioli *
J
Jared H. Cole
H
Harini Hapuarachchi *
DOI:10.1103/PRXQuantum.5.020202delete
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摘要

摘要

En 中文
Quantum master equations are an invaluable tool to model the dynamics of a plethora of microscopic systems, ranging from quantum optics and quantum information processing to energy and charge transport, electronic and nuclear spin resonance, photochemistry, and more. This tutorial offers a concise and pedagogical introduction to quantum master equations, accessible to a broad, cross-disciplinary audience. The reader is guided through the basics of quantum dynamics with hands-on examples that increase in complexity. The tutorial covers essential methods such as the use of the Lindblad master equation, Redfield relaxation, and Floquet theory, as well as techniques such as Suzuki-Trotter expansion and numerical approaches for sparse solvers. These methods are illustrated with code snippets implemented in PYTHON and other languages, which can be used as a starting point for generalization and more sophisticated implementations.
Keyword:
ABSORPTION-SPECTRUM
2-LEVEL ATOM
DYNAMICS
MATRIX
DIFFUSION
DRIVEN
CAVITY
STATES
FIELD
TIME

期刊

P
PRX Quantum
IF:
11
论文数:
919
被引数:
9.0K

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