Fermi’s golden rule, the origin and breakdown of Markovian master equations, and the relationship between oscillator baths and the random matrix model

DOI10.1088/1751-8121/aa8777zbMath1376.81047arXiv1708.06797OpenAlexW2750318348MaRDI QIDQ4591270

Siddhartha Santra, Kurt Jacobs, Radhakrishnan Balu, Benjamin Cruikshank

Publication date: 14 November 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.06797

zbMATH Keywords

open quantum systemsquantum noisespontaneous emission

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Open systems, reduced dynamics, master equations, decoherence (81S22)

Cites Work

• Quantum thermodynamics. Emergence of thermodynamic behavior within composite quantum systems
• Markovian master equations
• On the detailed balance condition for non-Hamiltonian systems
• The emergence of chaos in an open quantum system
• Quantum Brownian motion in a general environment: Exact master equation with nonlocal dissipation and colored noise
• On the application of Floquet theorem in development of time-dependent Lindbladians
• Stochastic Processes for Physicists
• Classical dynamics of quantum localization
• A random matrix model of relaxation
• Markovian master equations: a critical study
• Quantum Open Systems with Time-Dependent Control
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