The adiabatic theorem is a concept in quantum mechanics. Its original form, due to Max Born and Vladimir Fock (1928), was stated as follows: A physical...

Adiabatic quantum computation (AQC) is a form of quantum computing which relies on the adiabatic theorem to perform calculations and is closely related...

An adiabatic process (adiabatic from Ancient Greek ἀδιάβατος (adiábatos) 'impassable') is a type of thermodynamic process that occurs without transferring...

Adiabatic invariant Born–Oppenheimer approximation Adiabatic process Adiabatic ionization Adiabatic index Adiabatic accessibility Adiabatic theorem Adiabatic...

to Kolmogorov complexity A result in classical mechanics for adiabatic invariants A theorem of algorithmic probability Invariant (mathematics) This disambiguation...

The adiabatic theorem states that if the evolution is slow enough the system will stay in its ground state at all times through the process. Adiabatic optimization...

In mathematics, Frobenius' theorem gives necessary and sufficient conditions for finding a maximal set of independent solutions of an overdetermined system...

use of cost and mixer Hamiltonians are inspired from the Quantum Adiabatic theorem, which states that starting in a ground state of a time-dependent...

starting with a non-interacting Hamiltonian and adiabatically switching on the interactions. The theorem was proved first by Gell-Mann and Low in 1951,...

energy eigenstates of the system will depend on x. According to the adiabatic theorem of quantum mechanics, in the limit of an infinitely slow change of...

convergence theorem (mathematical series) Acyclic models theorem (algebraic topology) Addition theorem (algebraic geometry) Adiabatic theorem (physics)...

the area enclosed by the orbit. This is the adiabatic invariance theorem – the action variables are adiabatic invariants. For a harmonic oscillator, the...

quantum mechanics, the Berry phase arises in a cyclic adiabatic evolution. The quantum adiabatic theorem applies to a system whose Hamiltonian H ( R ) {\displaystyle...

energy difference (that is, a Landau–Zener velocity of zero), the adiabatic theorem tells us that no such transition will take place, as the system will...

the adiabatic theorem, this manner of obtaining a PES is often referred to as the adiabatic approximation and the PES itself is called an adiabatic surface...

MathWorld. O'Hara, Michael J.; O'Leary, Dianne P. (April 2008). "Adiabatic theorem in the presence of noise". Physical Review A. 77 (4). American Physical...

observable property of the system. By reviewing the proof of the adiabatic theorem given by Max Born and Vladimir Fock, in Zeitschrift für Physik 51...

= QH / TH from the high temperature reservoir. Isentropic (reversible adiabatic) expansion of the gas (isentropic work output). For this step (B to C)...

Bell's theorem is a term encompassing a number of closely related results in physics, all of which determine that quantum mechanics is incompatible with...

AQC may refer to: Adiabatic quantum computation, a quantum computing model that relies on the adiabatic theorem to do calculations Analytical quality...

macroscopic action on the system. If this action acts very slowly, then the adiabatic theorem of quantum mechanics implies that this will not cause jumps between...

physics and thermodynamics, the heat capacity ratio, also known as the adiabatic index, the ratio of specific heats, or Laplace's coefficient, is the ratio...

energy eigenstates of the system will depend on x. According to the adiabatic theorem of quantum mechanics, in the limit of an infinitely slow change of...

Christopher Longuet-Higgins Conical intersection Vibronic coupling Adiabatic theorem Bond hardening Bond softening Landau–Zener formula Level repulsion...

Shortcuts to adiabaticity (STA) are fast control protocols to drive the dynamics of system without relying on the adiabatic theorem. The concept of STA...

such non-adiabatic, unaccompanied transfer of energy. It rests on the primitive notion of walls, especially adiabatic walls and non-adiabatic walls, defined...

thermal reservoir may be different. The adiabatic case of the theorem holds also for the other formulation of the theorem, presented below. The exergy of the...

invariant of the smooth structure. The theorem has also found numerous applications in physics, including: adiabatic phase or Berry's phase, string theory...

when the effects of irreversible processes (like turbulence) and non-adiabatic processes (e.g. thermal radiation) are small and can be neglected. However...

condition Born–Oppenheimer approximation BBGKY hierarchy Cauchy–Born rule Adiabatic theorem Canonical commutation relation Spouse Hedwig Ehrenberg ​ (m. 1913)​...