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.

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Predicate Object
instanceOf physical law
quantum mechanical formula
result in quantum mechanics
alsoKnownAs Landau–Zener formula
surface form: Landau–Zener model

Landau–Zener formula
surface form: 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
Schrödinger equation
surface form: 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 formula self-linksurface differs
surface form: Landau–Zener–Stückelberg–Majorana theory

Rabi oscillation
surface form: Rabi oscillations

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

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Referenced by (4)

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 formula
this entity surface form: Landau–Zener transition formula
Landau–Zener formula alsoKnownAs Landau–Zener formula
this entity surface form: Landau–Zener model
Landau–Zener formula relatedTo Landau–Zener formula self-linksurface differs
this entity surface form: Landau–Zener–Stückelberg–Majorana theory