Jaynes–Cummings model

E913573

The Jaynes–Cummings model is a fundamental quantum optics model describing the interaction between a two-level atom and a single mode of the quantized electromagnetic field, widely used to study light–matter coupling and cavity quantum electrodynamics.

All labels observed (3)

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Statements (48)

Predicate Object
instanceOf exactly solvable model ⓘ
quantum optics model ⓘ
theoretical physics model ⓘ
applicableWhen atom–field coupling is weak compared to transition frequencies ⓘ
near-resonant atom–field interaction ⓘ
assumes rotating-wave approximation ⓘ
single quantized field mode ⓘ
two-level atom ⓘ
describes interaction between a two-level atom and a single mode of the quantized electromagnetic field ⓘ
light–matter coupling ⓘ
field cavity quantum electrodynamics ⓘ
quantum optics ⓘ
generalizedBy Tavis–Cummings model ⓘ
dissipative Jaynes–Cummings model ⓘ
driven Jaynes–Cummings model ⓘ
hasComponent Pauli operator σ_z ⓘ
annihilation operator a ⓘ
creation operator a† ⓘ
lowering operator σ_− ⓘ
raising operator σ_+ ⓘ
hasFeature block-diagonal Hamiltonian in excitation subspaces ⓘ
conservation of total excitation number ⓘ
dressed states of atom–field system ⓘ
hasHamiltonian H = ℏω a†a + ½ℏω₀ σ_z + ℏg (a σ_+ + a† σ_−) ⓘ
hasParameter atomic transition frequency ω₀ ⓘ
atom–field coupling strength g ⓘ
cavity mode frequency ω ⓘ
detuning between atom and field ⓘ
hasSolutionType analytic eigenvalues and eigenstates ⓘ
importantFor design of quantum gates ⓘ
entanglement generation between atom and field ⓘ
generation of nonclassical states of light ⓘ
understanding strong coupling regime in cavity QED ⓘ
isExtensionOf Rabi model under rotating-wave approximation ⓘ
namedAfter Edwin T. Jaynes ⓘ
Frederick W. Cummings NERFINISHED ⓘ
neglects counter-rotating terms a σ_− and a† σ_+ ⓘ
predicts Rabi oscillations ⓘ
linked to: Rabi oscillation

collapse and revival of Rabi oscillations ⓘ
photon number–dependent Rabi frequency ⓘ
vacuum Rabi splitting ⓘ
usedIn cavity quantum electrodynamics ⓘ
circuit quantum electrodynamics ⓘ
quantum information processing ⓘ
quantum optics education ⓘ
usedToModel quantum bits coupled to resonant modes ⓘ
single atom in an optical cavity ⓘ
superconducting qubit in a microwave resonator ⓘ

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Referenced by (5)

Full triples — surface form annotated when it differs from this entity's canonical label.

Rabi frequency → appearsIn → Jaynes–Cummings model ⓘ
Rabi splitting → isRelatedTo → Jaynes–Cummings model ⓘ
Rabi splitting → hasTheoreticalDescription → Jaynes–Cummings Hamiltonian ⓘ
linked to: Jaynes–Cummings model
Jaynes–Cummings model → generalizedBy → driven Jaynes–Cummings model ⓘ
linked to: Jaynes–Cummings model
cavity quantum electrodynamics → appliesTheory → Jaynes–Cummings model ⓘ