Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physics Letters A

Examination of the adiabatic approximation in open systems

D. M. Tong, X. X. Yi, X.J. Fan, L. C. Kwek, C. H. Oh

Published Nov 30, 2007• 6 citations
Publisher
DOI
10.1016/j.physleta.2007.11.051

Related papers

The Adiabatic Approximation in Markovian Open Quantum Systems

M. S. Sarandy, Daniel A. Lidar

APS•Mar 1, 2004•0 citations

Adiabatic approximation in open quantum systems (12 pages)

M. S. Sarandy

Physical Review A•Jan 1, 2005•0 citations

Teorias adiabáticas e aplicações em Ressonância Magnética Nuclear

Charlie Oncebay Segura

We present a study of adiabaticity in Nuclear Magnetic Resonance.First, we present a review on the concept of adiabaticity in closed and open quantum systems.Many commonly used adiabatic processes in Magnetic Resonance perform well even though the adiabatic approximation does not appear to hold throughout the process, then through the use Berry's superadiabatic formalism make corrections to the pulse satisfies the adiabatic condition.This approach, a but time-dependent Hamiltonian slowly evolving is iteratively transformed into time-dependent diagonal frames until the most accurate adiabatic approximation is obtained.Examine the capabilities of superadiabatics iterations to produce a shortcut sequence to adiabaticity system and extend the concept of dynamic superadiabatic for open systems, whose evolution is governed by a master equation of Lindblad form, providing the necessary framework to determine the strategy control needed to achieve superadibaticity.

•Feb 20, 2014•0 citations

Adiabatic Approximation for Quasi-Stationary States

G. F. Drukarev

•Jan 1, 1965•0 citations

Adiabatic Approximation

Princeton University Press eBooks•Feb 9, 2021•2 citations

Adiabatic approximation in open systems: an alternative approach

X. X. Yi, D. M. Tong, L. C. Kwek +1 more

The adiabatic approximation in open systems is formulated through the effective Hamiltonian approach. By introducing an ancilla, we embed the open system dynamics into a non-Hermitian quantum dynamics of a composite system composed of the open system and ancilla, the adiabatic evolution of the open system is then defined as the adiabatic dynamics of the composite system. Validity and invalidity conditions for this approximation as well as the relation to the other definition are established and discussed. A high-order adiabatic approximation for open systems is introduced. As an example, the adiabatic condition for an open spin- particle in time-dependent magnetic fields is analysed.

arXiv:quant-ph/0606203•Journal of Physics B Atomic Molecular and Optical Physics•Jan 3, 2007•41 citations
We present a study of adiabaticity in Nuclear Magnetic Resonance.First, we present a review on the concept of adiabaticity in closed and open quantum systems.Many commonly used adiabatic processes in Magnetic Resonance perform well even though the adiabatic approximation does not appear to hold throughout the process, then through the use Berry's superadiabatic formalism make corrections to the pulse satisfies the adiabatic condition.This approach, a but time-dependent Hamiltonian slowly evolving is iteratively transformed into time-dependent diagonal frames until the most accurate adiabatic approximation is obtained.Examine the capabilities of superadiabatics iterations to produce a shortcut sequence to adiabaticity system and extend the concept of dynamic superadiabatic for open systems, whose evolution is governed by a master equation of Lindblad form, providing the necessary framework to determine the strategy control needed to achieve superadibaticity.
The adiabatic approximation in open systems is formulated through the effective Hamiltonian approach. By introducing an ancilla, we embed the open system dynamics into a non-Hermitian quantum dynamics of a composite system composed of the open system and ancilla, the adiabatic evolution of the open system is then defined as the adiabatic dynamics of the composite system. Validity and invalidity conditions for this approximation as well as the relation to the other definition are established and discussed. A high-order adiabatic approximation for open systems is introduced. As an example, the adiabatic condition for an open spin- particle in time-dependent magnetic fields is analysed.