Entropy and Correlation Functions of a Driven Quantum Spin Chain

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dc.creatorCherng, R. W.
dc.creatorLevitov, L. S.
dc.date2005-12-28
dc.date.accessioned2026-07-07T09:31:43Z
dc.date.available2026-07-07T09:31:43Z
dc.descriptionWe present an exact solution for a quantum spin chain driven through its critical points. Our approach is based on a many-body generalization of the Landau-Zener transition theory, applied to fermionized spin Hamiltonian. The resulting nonequilibrium state of the system, while being a pure quantum state, has local properties of a mixed state characterized by finite entropy density associated with Kibble-Zurek defects. The entropy, as well as the finite spin correlation length, are functions of the rate of sweep through the critical point. We analyze the anisotropic XY spin 1/2 model evolved with a full many-body evolution operator. With the help of Toeplitz determinants calculus, we obtain an exact form of correlation functions. The properties of the evolved system undergo an abrupt change at a certain critical sweep rate, signaling formation of ordered domains. We link this phenomenon to the behavior of complex singularities of the Toeplitz generating function.
dc.description16 pgs, 7 fgs
dc.identifierhttps://arxiv.org/abs/cond-mat/0512689
dc.identifierhttp://arxiv.org/abs/cond-mat/0512689
dc.identifierPhys. Rev. A 73, 043614 (2006)
dc.identifierdoi:10.1103/PhysRevA.73.043614
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158561
dc.subjectMesoscale and Nanoscale Physics
dc.subjectStrongly Correlated Electrons
dc.titleEntropy and Correlation Functions of a Driven Quantum Spin Chain
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