Landau–Zener formula

E334543

The Landau–Zener formula is a quantum mechanical result that gives the probability of non-adiabatic transitions between energy levels during an avoided crossing when a system’s parameters are varied in time.

All labels observed (6)

How this entity was disambiguated

Statements (48)

Predicate Object
instanceOf physical law ⓘ
quantum mechanical formula ⓘ
result in quantum mechanics ⓘ
alsoKnownAs Landau–Zener model ⓘ
Landau–Zener transition formula ⓘ
appliesTo avoided level crossings ⓘ
time-dependent Hamiltonians ⓘ
two-level quantum systems ⓘ
assumes constant coupling between two levels ⓘ
linearly time-dependent energy bias between diabatic states ⓘ
two-level approximation ⓘ
context adiabatic theorem in quantum mechanics ⓘ
time-dependent Schrödinger equation ⓘ
dependsOn Planck constant ⓘ
rate of change of the energy level separation ⓘ
square of the coupling matrix element ⓘ
describes non-adiabatic transitions between energy levels ⓘ
transition probability at an avoided level crossing ⓘ
field atomic physics ⓘ
condensed matter physics ⓘ
molecular physics ⓘ
quantum mechanics ⓘ
quantum optics ⓘ
gives probability of adiabatic transition between eigenstates ⓘ
probability of diabatic transition ⓘ
probability of remaining in the initial diabatic state ⓘ
influenced design of Landau–Zener sweeps in qubit control ⓘ
development of adiabatic quantum computation ⓘ
mathematicalForm transition probability expressed as an exponential of a non-adiabatic parameter ⓘ
namedAfter Clarence Zener ⓘ
Lev Landau ⓘ
relatedTo Landau–Zener–Stückelberg–Majorana theory ⓘ
Rabi oscillations ⓘ
linked to: Rabi oscillation

Stückelberg interferometry ⓘ
adiabatic approximation ⓘ
diabatic basis ⓘ
testedIn molecular collision experiments ⓘ
semiconductor quantum dots ⓘ
superconducting qubits ⓘ
ultracold atoms in optical lattices ⓘ
usedFor analyzing quantum tunneling in energy level crossings ⓘ
characterizing decoherence in qubits ⓘ
designing adiabatic quantum control protocols ⓘ
estimating transition probabilities in driven quantum systems ⓘ
spectroscopy of avoided crossings ⓘ
validWhen sweep through avoided crossing is approximately linear in time ⓘ
system is isolated from strong environmental decoherence ⓘ
yearProposed 1932 ⓘ

How these facts were elicited

Referenced by (6)

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

Lev Landau → knownFor → Landau–Zener formula ⓘ
Landau–Zener formula → alsoKnownAs → Landau–Zener transition formula ⓘ
linked to: Landau–Zener formula
Landau–Zener formula → alsoKnownAs → Landau–Zener model ⓘ
linked to: Landau–Zener formula
Landau–Zener formula → relatedTo → Landau–Zener–Stückelberg–Majorana theory ⓘ
linked to: Landau–Zener formula
Bloch oscillations → relatedTo → Landau-Zener transitions ⓘ
linked to: Landau–Zener formula
Berry phase → associatedWith → adiabatic theorem ⓘ
linked to: Landau–Zener formula