@article{ISI:000257288900071, abstract = {We study the quenching dynamics of a one-dimensional spin-1/2 XY model in a transverse field when the transverse field h(=t/tau) is quenched repeatedly between -infinity and +infinity. A single passage from h ->-infinity to h ->+infinity or the other way around is referred to as a half period of quenching. For an even number of half periods, the transverse field is brought back to the initial value of -infinity; in the case of an odd number of half periods, the dynamics is stopped at h ->+infinity. The density of defects produced due to the nonadiabatic transitions is calculated by mapping the many-particle system to an equivalent Landau-Zener problem and is generally found to vary as 1/root tau for large tau; however, the magnitude is found to depend on the number of half periods of quenching. For two successive half periods, the defect density is found to decrease in comparison to a single half period, suggesting the existence of a corrective mechanism in the reverse path. A similar behavior of the density of defects and the local entropy is observed for repeated quenching. The defect density decays as 1/root tau for large tau for any number of half periods, and shows an increase in kink density for small tau for an even number; the entropy shows qualitatively the same behavior for any number of half periods. The probability of nonadiabatic transitions and the local entropy saturate to 1/2 and ln 2, respectively, for a large number of repeated quenching.}, article-number = {214427}, author = {Mukherjee, Victor and Dutta, Amit and Sen, Diptiman}, doi = {10.1103/PhysRevB.77.214427}, eissn = {2469-9969}, issn = {2469-9950}, journal = {PHYSICAL REVIEW B}, month = {JUN}, number = {21}, orcid-numbers = {Mukherjee, Victor/0000-0003-3324-8056 Mukherjee, Victor/0000-0003-3324-8056}, researcherid-numbers = {Mukherjee, Victor/AAR-3999-2020 Mukherjee, Victor/C-5241-2018}, times-cited = {41}, title = {Defect generation in a spin-1/2 transverse XY chain under repeated quenching of the transverse field}, unique-id = {ISI:000257288900071}, volume = {77}, year = {2008} }