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

arXiv:quant-ph/0702119 · Physics Letters A

On spin evolution in a time-dependent magnetic field: Post-adiabatic corrections and geometric phases

Konstantin Yu Bliokh

Published Jul 27, 2007• 9 citations
arXivHTMLPDF
DOI
10.1016/j.physleta.2007.07.036

Related papers

A New Approach to Spin Evolution in Time-Dependent Magnetic Field

杨进 YANG Jin, Lin Nengjie, 张德培 ZHANG De-pei +1 more

Acta Sinica Quantum Optica•Jan 1, 2016•0 citations

Berry Phase in an Entangled Spin Cluster with Five Particles

Xiao-Bo Yan

The geometric phase, in particular the Berry phase, in an entangled state of five spin-1/2 particles is studied. A time-dependent magnetic field is applied to control the time evolution of the cluster. Using the method of algebraic dynamics, we calculate the non-adiabatic geometric phase or Berry phase and the degeneracy energy levels when the magnetic rotates around Z axis. Based on the exact analytical solutions, we show how the Berry phase of the entangled state of this cluster depends on the external magnetic field parameters ω (the angular velocity of the rotating magnetic field) and θ (the angle between the magnetic field and Z axis).

Chinese Physics Letters•Jul 26, 2007•1 citation

The geometric phase of the quantum systems with slow but finite rate of the external time-dependent field

Jia Xin-Yan, Weidong Li, Liang Jiu-Qing

With the help of the time-dependent gauge transformation technique, we have studied the geometric phase of a spin-half particle in a rotating magnetic field. We have found that the slow but finite frequency of the rotating magnetic field will make the difference between the adiabatic geometric phase and the exact geometric phase. When the frequency is much smaller than the energy space and the adiabatic condition is perfectly guaranteed, the adiabatic approximation geometric phase is exactly consistent with the adiabatic geometric phase. A simple relation for the accuracy of the adiabatic approximation is given in terms of the changing rate of the frequency of the rotating magnetic field and the energy level space.

Chinese Physics•Oct 1, 2007•1 citation

Spin in a variable magnetic field: the adiabatic approximation

M. S. Marinov, Eugene Strahov

arXiv:quant-ph/9807016•Comptes Rendus de l Académie des Sciences - Series IIB - Mechanics-Physics-Astronomy•Feb 1, 1999•0 citations

Geometric phase in spin precession and the adiabatic approximation

Guang-jiong Ni, Su-qiong Chen, Yue-lin Shen

Physics Letters A•Jan 1, 1995•18 citations

Geometric and Dynamic Phases for a Spin-1 Particle in a Rotating Magnetic Field

Xuehua Yi

The geometric and dynamic phase for spin-1 particle in a rotating magnetic field are studied.We derive formulae of how to calculate the geometric and dynamic phases for spin-1 particle in adiabatic and nonadiabatic evolutions,and calculate the phases by using these formulae.Finally,we discuss three kinds.Berry phase of When considering ω1ω,the system is in adiabatic approximation,at this time geometric phase is Berry phase.

Acta Sinica Quantum Optica•Jan 1, 2009•0 citations
The geometric phase, in particular the Berry phase, in an entangled state of five spin-1/2 particles is studied. A time-dependent magnetic field is applied to control the time evolution of the cluster. Using the method of algebraic dynamics, we calculate the non-adiabatic geometric phase or Berry phase and the degeneracy energy levels when the magnetic rotates around Z axis. Based on the exact analytical solutions, we show how the Berry phase of the entangled state of this cluster depends on the external magnetic field parameters ω (the angular velocity of the rotating magnetic field) and θ (the angle between the magnetic field and Z axis).
With the help of the time-dependent gauge transformation technique, we have studied the geometric phase of a spin-half particle in a rotating magnetic field. We have found that the slow but finite frequency of the rotating magnetic field will make the difference between the adiabatic geometric phase and the exact geometric phase. When the frequency is much smaller than the energy space and the adiabatic condition is perfectly guaranteed, the adiabatic approximation geometric phase is exactly consistent with the adiabatic geometric phase. A simple relation for the accuracy of the adiabatic approximation is given in terms of the changing rate of the frequency of the rotating magnetic field and the energy level space.