Quenching across quantum critical points: Role of topological patterns
Data(s) |
01/09/2010
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Resumo |
We introduce a one-dimensional version of the Kitaev model consisting of spins on a two-legged ladder and characterized by Z(2) invariants on the plaquettes of the ladder. We map the model to a fermionic system and identify the topological sectors associated with different Z2 patterns in terms of fermion occupation numbers. Within these different sectors, we investigate the effect of a linear quench across a quantum critical point. We study the dominant behavior of the system by employing a Landau-Zener-type analysis of the effective Hamiltonian in the low-energy subspace for which the effective quenching can sometimes be non-linear. We show that the quenching leads to a residual energy which scales as a power of the quenching rate, and that the power depends on the topological sectors and their symmetry properties in a non-trivial way. This behavior is consistent with the general theory of quantum quenching, but with the correlation length exponent nu being different in different sectors. Copyright (C) EPLA, 2010 |
Formato |
application/pdf |
Identificador |
http://eprints.iisc.ernet.in/35901/1/Across.pdf Sen, Diptiman and Vishveshwara, Smitha (2010) Quenching across quantum critical points: Role of topological patterns. In: EPL: Europhysics Letters, 91 (6). |
Publicador |
EDP Sciences |
Relação |
http://iopscience.iop.org/0295-5075/91/6/66009 http://eprints.iisc.ernet.in/35901/ |
Palavras-Chave | #Centre for High Energy Physics |
Tipo |
Journal Article PeerReviewed |