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- Quantum_master_equation abstract "A quantum master equation is a generalization of the idea of a master equation. Rather than just a system of differential equations for a set of probabilities (which only constitutes the diagonal elements of a density matrix), quantum master equations are differential equations for the entire density matrix, including off-diagonal elements. A density matrix with only diagonal elements can be modeled as a classical random process, therefore such an \"ordinary\" master equation is considered classical. Off-diagonal elements represent quantum coherence which is a physical characteristic that is intrinsically quantum mechanical.The Lindblad equation was a primitive example of a quantum master equation. Another primitive example of a quantum master equation is the Nakajima-Zwanzig equation which is also sometimes known as the \"generalized quantum master equation\" or the \"exact master equation\" because it is non-Markovian. However, it is extremely difficult to solve, and has therefore been replaced by more sophisticated approaches.More modern quantum master equations which show better agreement with exact numerical calculations include the polaron transformed quantum master equation, and the variational polaron transformed quantum master equation.Alternatives to quantum master equations include numerically exact approaches such as those based on numerical Feynman integrals, DMRG, MCTDH, and Tanimura and Kubo's hierarchical equations of motion.".
- Quantum_master_equation wikiPageID "11241001".
- Quantum_master_equation wikiPageLength "2382".
- Quantum_master_equation wikiPageOutDegree "21".
- Quantum_master_equation wikiPageRevisionID "701800289".
- Quantum_master_equation wikiPageWikiLink Category:Equations.
- Quantum_master_equation wikiPageWikiLink Coherence_(physics).
- Quantum_master_equation wikiPageWikiLink Density_matrix.
- Quantum_master_equation wikiPageWikiLink Density_matrix_renormalization_group.
- Quantum_master_equation wikiPageWikiLink Differential_equation.
- Quantum_master_equation wikiPageWikiLink Hierarchical_equations_of_motion.
- Quantum_master_equation wikiPageWikiLink Lindblad_equation.
- Quantum_master_equation wikiPageWikiLink Master_equation.
- Quantum_master_equation wikiPageWikiLink Multi-configuration_time-dependent_Hartree.
- Quantum_master_equation wikiPageWikiLink Nakajima–Zwanzig_equation.
- Quantum_master_equation wikiPageWikiLink Open_quantum_system.
- Quantum_master_equation wikiPageWikiLink Path_integral_formulation.
- Quantum_master_equation wikiPageWikiLink Quantum_dynamics.
- Quantum_master_equation wikiPageWikiLink Ryogo_Kubo.
- Quantum_master_equation wikiPageWikiLink Variational_polaron_transformed_quantum_master_equation.
- Quantum_master_equation wikiPageWikiLink Yoshitaka_Tanimura.
- Quantum_master_equation wikiPageWikiLinkText "Quantum master equation".
- Quantum_master_equation wikiPageWikiLinkText "quantum master equation".
- Quantum_master_equation wikiPageUsesTemplate Template:About.
- Quantum_master_equation wikiPageUsesTemplate Template:Reflist.
- Quantum_master_equation subject Category:Equations.
- Quantum_master_equation hypernym Generalization.
- Quantum_master_equation comment "A quantum master equation is a generalization of the idea of a master equation. Rather than just a system of differential equations for a set of probabilities (which only constitutes the diagonal elements of a density matrix), quantum master equations are differential equations for the entire density matrix, including off-diagonal elements.".
- Quantum_master_equation label "Quantum master equation".
- Quantum_master_equation sameAs Q18389871.
- Quantum_master_equation sameAs m.011jqd3b.
- Quantum_master_equation sameAs Q18389871.
- Quantum_master_equation wasDerivedFrom Quantum_master_equation?oldid=701800289.
- Quantum_master_equation isPrimaryTopicOf Quantum_master_equation.