@article{ISI:000258821300023,
 abstract = {In this paper we review the quenching dynamics of a quantum XY spin-1/2
chain in the presence of a transverse field, when the transverse field
or the anisotropic interaction is quenched at a slow but uniform rate.
We also extend the results to the cases in which the system starts with
any arbitrary initial condition as opposed to the initial fully
magnetically aligned state which has been extensively studied earlier.
The evolution is non-adiabatic in the time interval when the parameters
are close to their critical values, and is adiabatic otherwise. The
density of defects produced due to non-adiabatic transitions is
calculated by mapping the many-particle system to an equivalent
Landau-Zener problem. We show that in one dimension the density of
defects in the final state scales as 1/root T irrespective of the
initial condition, where tau is the quenching time-scale. However, the
magnitude of density of defects is found to depend on the initial
condition.},
 author = {Mukherjee, Victor and Divakaran, Uma and Dutta, Amit and Sen, Diptiman},
 doi = {10.1007/s12043-008-0174-1},
 eissn = {0973-7111},
 issn = {0304-4289},
 journal = {PRAMANA-JOURNAL OF PHYSICS},
 month = {AUG},
 note = {International Workshop and Conference on Statistical Physics Approaches
to Multidisciplinary Problems, Indian Inst Technol, Guwahati, INDIA, JAN
07-13, 2008},
 number = {2},
 orcid-numbers = {Mukherjee, Victor/0000-0003-3324-8056
Mukherjee, Victor/0000-0003-3324-8056},
 pages = {403-412},
 researcherid-numbers = {Mukherjee, Victor/AAR-3999-2020
Mukherjee, Victor/C-5241-2018},
 times-cited = {1},
 title = {Quenching dynamics of a quantum XY spin-1/2 chain in the presence of
transverse field by the application of a generalized Landau-Zener
formula},
 unique-id = {ISI:000258821300023},
 volume = {71},
 year = {2008}
}