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30 relations: Basis (linear algebra), Commutator, Density matrix, Diagonalizable matrix, E. C. George Sudarshan, Ehrenfest theorem, Fabry–Pérot interferometer, Göran Lindblad (physicist), Hamiltonian (quantum mechanics), Heisenberg picture, Hilbert space, Liouville's equation, List of things named after Charles Hermite, Markov chain, Open quantum system, Positive-definite matrix, Quantum channel, Quantum harmonic oscillator, Quantum jump method, Quantum master equation, Quantum mechanics, Quantum operation, Quantum optics, Schrödinger equation, Schrödinger picture, Semigroup, Superoperator, Thermal reservoir, Unital map, Unitary transformation.
Basis (linear algebra)
In mathematics, a set of elements (vectors) in a vector space V is called a basis, or a set of, if the vectors are linearly independent and every vector in the vector space is a linear combination of this set.
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Commutator
In mathematics, the commutator gives an indication of the extent to which a certain binary operation fails to be commutative.
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Density matrix
A density matrix is a matrix that describes a quantum system in a mixed state, a statistical ensemble of several quantum states.
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Diagonalizable matrix
In linear algebra, a square matrix A is called diagonalizable if it is similar to a diagonal matrix, i.e., if there exists an invertible matrix P such that P−1AP is a diagonal matrix.
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E. C. George Sudarshan
Ennackal Chandy George Sudarshan (also known as E. C. G. Sudarshan; 16 September 1931 – 14 May 2018) was an Indian theoretical physicist and a professor at the University of Texas.
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Ehrenfest theorem
The Ehrenfest theorem, named after Paul Ehrenfest, an Austrian theoretical physicist at Leiden University, relates the time derivative of the expectation values of the position and momentum operators x and p to the expectation value of the force F.
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Fabry–Pérot interferometer
In optics, a Fabry–Pérot interferometer (FPI) or etalon is typically made of a transparent plate with two reflecting surfaces, or two parallel highly reflecting mirrors.
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Göran Lindblad (physicist)
Göran Lindblad is a Swedish theoretical physicist and a professor emeritus at the AlbaNova University, Stockholm.
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Hamiltonian (quantum mechanics)
In quantum mechanics, a Hamiltonian is an operator corresponding to the total energy of the system in most of the cases.
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Heisenberg picture
In physics, the Heisenberg picture (also called the Heisenberg representation) is a formulation (largely due to Werner Heisenberg in 1925) of quantum mechanics in which the operators (observables and others) incorporate a dependency on time, but the state vectors are time-independent, an arbitrary fixed basis rigidly underlying the theory.
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Hilbert space
The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space.
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Liouville's equation
In differential geometry, Liouville's equation, named after Joseph Liouville, is the nonlinear partial differential equation satisfied by the conformal factor of a metric on a surface of constant Gaussian curvature: where is the flat Laplace operator.
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List of things named after Charles Hermite
Numerous things are named after the French mathematician Charles Hermite (1822–1901).
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Markov chain
A Markov chain is "a stochastic model describing a sequence of possible events in which the probability of each event depends only on the state attained in the previous event".
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Open quantum system
In physics, an open quantum system is a quantum-mechanical system which interacts with an external quantum system, the environment.
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Positive-definite matrix
In linear algebra, a symmetric real matrix M is said to be positive definite if the scalar z^Mz is strictly positive for every non-zero column vector z of n real numbers.
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Quantum channel
In quantum information theory, a quantum channel is a communication channel which can transmit quantum information, as well as classical information.
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Quantum harmonic oscillator
The quantum harmonic oscillator is the quantum-mechanical analog of the classical harmonic oscillator.
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Quantum jump method
The quantum jump method, also known as the Monte Carlo wave function (MCWF) method, is a technique in computational physics used for simulating open quantum systems.
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Quantum master equation
A quantum master equation is a generalization of the idea of a master equation.
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Quantum mechanics
Quantum mechanics (QM; also known as quantum physics, quantum theory, the wave mechanical model, or matrix mechanics), including quantum field theory, is a fundamental theory in physics which describes nature at the smallest scales of energy levels of atoms and subatomic particles.
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Quantum operation
In quantum mechanics, a quantum operation (also known as quantum dynamical map or quantum process) is a mathematical formalism used to describe a broad class of transformations that a quantum mechanical system can undergo.
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Quantum optics
Quantum optics (QO) is a field of research that uses semi-classical and quantum-mechanical physics to investigate phenomena involving light and its interactions with matter at submicroscopic levels.
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Schrödinger equation
In quantum mechanics, the Schrödinger equation is a mathematical equation that describes the changes over time of a physical system in which quantum effects, such as wave–particle duality, are significant.
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Schrödinger picture
In physics, the Schrödinger picture (also called the Schrödinger representation) is a formulation of quantum mechanics in which the state vectors evolve in time, but the operators (observables and others) are constant with respect to time.
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Semigroup
In mathematics, a semigroup is an algebraic structure consisting of a set together with an associative binary operation.
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Superoperator
In physics, a superoperator is a linear operator acting on a vector space of linear operators.
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Thermal reservoir
A thermal reservoir, a short-form of thermal energy reservoir, or thermal bath is a thermodynamic system with a heat capacity that is large enough that when it is in thermal contact with another system of interest or its environment, its temperature remains effectively constant.
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Unital map
In abstract algebra, a unital map on a C*-algebra is a map \phi which preserves the identity element: This condition appears often in the context of completely positive maps, especially when they represent quantum operations.
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Unitary transformation
In mathematics, a unitary transformation is a transformation that preserves the inner product: the inner product of two vectors before the transformation is equal to their inner product after the transformation.
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Redirects here:
Lindblad equation, Lindblad superoperator, Lindblad's equation, Quantum dynamical semigroup.
References
[1] https://en.wikipedia.org/wiki/Lindbladian
