Published October 2, 2015 | Version v1
Journal article

The finite time multi-level SU(2) Landau–Zener problems: exact analytical results

  • 1. Laboratory of Research on Advanced Materials and Nonlinear Science (LaRAMaNS), Department of Physics, Faculty of Science, University of Buea, PO Box 63, Buea (Cameroon)
  • 2. Mesoscopic and Multilayer Structures Laboratory (MMSL), Faculty of Science, Department of Physics, University of Dschang, PO Box 479 (Cameroon)

Description

The multi-level SU(2) Landau–Zener problem is analytically solved at finite time within the framework of the Bloch tensor formalism and with the help of the disentanglement Wei–Norman ordering technique. A generalized and exact analytical solution is achieved that accounts not only for all projections of an arbitrary spin S along the Zeeman field direction but also for non-adiabatic and adiabatic evolutions. (paper)

Availability note (English)

Available from http://dx.doi.org/10.1088/1751-8113/48/39/395301

Additional details

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
48
Journal Issue
39
Journal Page Range
[16 p.]
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
47068051
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ANALYTICAL SOLUTION; EVOLUTION; SPIN; SU-2 GROUPS; TENSORS; ZEEMAN EFFECT
Descriptors DEC
ANGULAR MOMENTUM; LIE GROUPS; MATHEMATICAL SOLUTIONS; PARTICLE PROPERTIES; SU GROUPS; SYMMETRY GROUPS