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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 system remains in its instantaneous eigenstate if a given perturbation is acting on it slowly enough and if there is a gap between the eigenvalue and the rest of the Hamiltonian's spectrum.
An adiabatic process (adiabatic from Ancient Greek ἀδιάβατος (adiábatos) 'impassable') is a type of thermodynamic process that occurs without transferring heat between the thermodynamic system and its environment. Unlike an isothermal process, an adiabatic process transfers energy to the surroundings only as work and/or mass flow.
The first adiabatic differential scanning calorimeter that could be used in biochemistry was developed by P. L. Privalov and D. R. Monaselidze in 1964 at Institute of Physics in Tbilisi, Georgia. [4] The term DSC was coined to describe this instrument, which measures energy directly and allows precise measurements of heat capacity. [5]
Adiabatic (from Gr. ἀ negative + διάβασις passage; transference) refers to any process that occurs without heat transfer. This concept is used in many areas of physics and engineering. This concept is used in many areas of physics and engineering.
Adiabatic quantum computing has been shown to be polynomially equivalent to conventional quantum computing in the circuit model. [6] The time complexity for an adiabatic algorithm is the time taken to complete the adiabatic evolution which is dependent on the gap in the energy eigenvalues (spectral gap) of the Hamiltonian.
Shortcuts to adiabaticity (STA) are fast control protocols to drive the dynamics of system without relying on the adiabatic theorem.The concept of STA was introduced in a 2010 paper by Xi Chen et al. [1] Their design can be achieved using a variety of techniques.
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The surfaces () and () are adiabatic PESs obtained from clamped nuclei electronic structure calculations and is the usual nuclear kinetic energy operator defined above. Finding approximations for γ ( R ) {\displaystyle \gamma (\mathbf {R} )} is the remaining problem before a solution of the Schrödinger equations can be attempted.