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.
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 NERFINISHED ⓘ |
| 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
NERFINISHED
ⓘ
Frederick W. Cummings NERFINISHED ⓘ |
| neglects | counter-rotating terms a σ_− and a† σ_+ ⓘ |
| predicts |
Rabi oscillations
NERFINISHED
ⓘ
collapse and revival of Rabi oscillations ⓘ photon number–dependent Rabi frequency ⓘ vacuum Rabi splitting ⓘ |
| usedIn |
cavity quantum electrodynamics
ⓘ
circuit quantum electrodynamics NERFINISHED ⓘ 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 ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.