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Two-state quantum system

In quantum mechanics, a two-state system (also known as a two-level system) is a quantum system that can exist in any quantum superposition of two independent (physically distinguishable) quantum states. The Hilbert space describing such a system is two-dimensional. Therefore, a complete basis spanning the space will consist of two independent states.…

Analytical solutions for stationary state energies and time-dependence, Some important two-state systems & Significance and other examples

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Analytical solutions for stationary state energies and time-dependence

SuperpositionProbability amplitudesOrthonormalKronecker deltaComplex numbers
30 related topics

Some important two-state systems

Magnetic momentBloch vectorWithout loss of generalityLarmor precessionUnit vector
20 related topics

Significance and other examples

InterferenceNeutrino oscillationNeutral K-mesonResonanceLevel crossing
7 related topics

Overview

Quantum mechanicsQuantum systemQuantum superpositionQuantum statesHilbert space
14 related topics

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Analytical solutions for stationary state energies and time-dependence

Some important two-state systems

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Significance and other examples

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Two-state quantum system

Nodes78
Edges77
Triples11
Avg. degree1.97
Density0.025641
Components1

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displaystyle mathbf system two-state state vector states hamiltonian equation time matrix sigma rangle psi frac omega quantum bloch left right

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SubjectPredicateObjectConfidenceSrc
an electroninstance ofThe generic behavior of the system is that the wavefunction's amplitude oscillates between the two states.A well known example of a two-state system is the spin of a spin-1/2 pa…0.80text
whose spin can have valuesinstance ofThe generic behavior of the system is that the wavefunction's amplitude oscillates between the two states.A well known example of a two-state system is the spin of a spin-1/2 pa…0.80text
the Hamiltonian of a two-state system is given by Hinstance of2 Hermitian matrix0.80text
the Bloch sphere.If the two-state system's time-independent Hamiltonian H is defined as aboveinstance ofThis representation simplifies the analysis of the time evolution of the system and is easier to use with other specialized representations0.80text
then its eigenvalues are given by Einstance ofThis representation simplifies the analysis of the time evolution of the system and is easier to use with other specialized representations0.80text
the interference exhibited by particles of the polarization states of the photoninstance ofIt can be used to illustrate fundamental quantum mechanical phenomena0.80text
but also more complex phenomena such as neutrino oscillation or the neutral K-meson oscillation.Two-state formalism can be used to describe simple mixing of statesinstance ofIt can be used to illustrate fundamental quantum mechanical phenomena0.80text
which leads to phenomena such as resonance stabilizationinstance ofIt can be used to illustrate fundamental quantum mechanical phenomena0.80text
other level crossing related symmetriesinstance ofIt can be used to illustrate fundamental quantum mechanical phenomena0.80text
the maserinstance ofPhenomena with tremendous industrial applications0.80text
laser can be explained using the two-state formalism.The two-state formalism also forms the basis of quantum computinginstance ofPhenomena with tremendous industrial applications0.80text

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