Live briefing
Everything about Superoperator
In physics, a linear operator acting on a vector space of linear operators
In physics, a superoperator is a linear operator acting on a vector space of linear operators. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: SuperoperatorA 5-minute orientation
- Skim a recent paper: Canonical derivation of the fermionic influence superoperatorInfluential work since 2022
- Pick up a classic book: Density operator and superoperator methods in multiple pulse NMRThe most-reprinted book on the subject
- Read the landmark paper: Mixed-State Dynamics in One-Dimensional Quantum Lattice Systems: A Time-Dependent Superoperator Renormalization AlgorithmCited 583 times
- Go sideways: Nakajima–Zwanzig equationA closely related topic
- Go sideways: Peres–Horodecki criterionA closely related topic
📖 Definitions
Noun A linear operator acting on a space of linear operators
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Mixed-State Dynamics in One-Dimensional Quantum Lattice Systems: A Time-Dependent Superoperator Renormalization Algorithm
Superoperator nonequilibrium Green’s function theory of many-body systems; applications to charge transfer and transport in open junctions
Decoherence in atom–field interactions: A treatment using superoperator techniques
The electron propagator and superoperator resolvent
Hermiticity of the superoperator Hamiltonian in propagator theory
Superoperator representation of nonlinear response: Unifying quantum field and mode coupling theories
Symmetry and block structure of the Liouvillian superoperator in partial secular approximation
Algebraic approch to master equations with superoperator generators of su(1,1) and su(2) Lie algebras
🆕 Influential since 2022
Canonical derivation of the fermionic influence superoperator
Superoperator structures and no-go theorems for dissipative quantum phase transitions
Superoperator Approach to the Theory of Hot Nuclei and Astrophysical Applications: I—Spectral Properties of Hot Nuclei
Superoperator Approach to the Theory of Hot Nuclei and Astrophysical Applications: II—Electron Capture in Stars
Superoperator Master Equations and Effective Dynamics
📚 Books worth reading
- 📕Density operator and superoperator methods in multiple pulse NMRHerbert Wong · 1990
- 📕From information to knowledgeRahmatollah Fattahi · 2010
Quantum mechanics of non-Hamiltonian and dissipative systemsVasily E. Tarasov · 2008
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Nakajima–Zwanzig equation The Nakajima–Zwanzig equation (named after the physicists who developed it, Sadao Nakajima and Robert Zwanzig) is an integral equation describing the time…
- Peres–Horodecki criterion The Peres–Horodecki criterion is a necessary condition, for the joint density matrix ρ {\displaystyle \rho } of two quantum mechanical systems A {\displaystyle…
- Quantum dynamics In physics, quantum dynamics is the quantum version of classical dynamics. Quantum dynamics deals with the motions, and energy and momentum exchanges of…
- Time-evolving block decimation The time-evolving block decimation (TEBD) algorithm is a numerical scheme used to simulate one-dimensional quantum many-body systems, characterized by…
- Schmidt decomposition In linear algebra, the Schmidt decomposition (named after its originator Erhard Schmidt) refers to a particular way of expressing a vector in the tensor…
- Amplitude damping channel In the theory of quantum communication, an amplitude damping channel is a quantum channel that models physical processes such as spontaneous emission.…
- Quantum instrument In quantum physics, a quantum instrument is a mathematical description of a quantum measurement, capturing both the classical and quantum outputs. It can…
- Quantum state purification In quantum information theory, quantum state purification refers to the process of representing a mixed state as a pure quantum state of higher-dimensional…