Adiabatic approximation in the second quantized formulation
Journal Article
·
· Physical Review. D, Particles Fields
- Institute of Quantum Science, College of Science and Technology, Nihon University, Chiyoda-ku, Tokyo 101-8308 (Japan)
Recently there have been some controversies about the criterion of the adiabatic approximation. It is shown that an approximate diagonalization of the effective Hamiltonian in the second quantized formulation gives rise to a reliable and unambiguous criterion of the adiabatic approximation. This is illustrated for the model of Marzlin and Sanders [Phys. Rev. Lett. 93, 160408 (2004)] and a model related to the geometric phase which can be exactly diagonalized in the present sense.
- OSTI ID:
- 21039170
- Journal Information:
- Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 4 Vol. 77; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
Similar Records
Second-quantized formulation of geometric phases
Dynamical Evolution of a Doubly Quantized Vortex Imprinted in a Bose-Einstein Condensate
Quantum adiabatic computation and adiabatic conditions
Journal Article
·
Fri Jul 15 00:00:00 EDT 2005
· Physical Review. A
·
OSTI ID:20718302
Dynamical Evolution of a Doubly Quantized Vortex Imprinted in a Bose-Einstein Condensate
Journal Article
·
Thu Nov 02 23:00:00 EST 2006
· Physical Review Letters
·
OSTI ID:20861074
Quantum adiabatic computation and adiabatic conditions
Journal Article
·
Wed Aug 15 00:00:00 EDT 2007
· Physical Review. A
·
OSTI ID:21016064