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Your search keyword '"XY spin chain"' showing total 2 results
Start Over Descriptor "XY spin chain" Topic 82b44
2 results on '"XY spin chain"'

1. Entanglement Dynamics of Disordered Quantum XY Chains

Author

Abdul-Rahman, Houssam, Nachtergaele, Bruno, Sims, Robert, and Stolz, Günter

Subjects
XY spin chain, disordered systems, quantum entanglement, many-body localization, math-ph, math.MP, 82B44, Mathematical Sciences, Physical Sciences, Mathematical Physics
Abstract

We consider the dynamics of the quantum XY chain with disorder under thegeneral assumption that the expectation of the eigenfunction correlator of theassociated one-particle Hamiltonian satisfies a decay estimate typical ofAnderson localization. We show that, starting from a broad class of productinitial states, entanglement remains bounded for all times. For the XX chain,we also derive bounds on the particle transport which, in particular, show thatthe density profile of initial states that consist of fully occupied and emptyintervals, only have significant dynamics near the edges of those intervals,uniformly for all times.

Published
2016

2. Entanglement Dynamics of Disordered Quantum XY Chains

Author

Günter Stolz, Robert Sims, Houssam Abdul-Rahman, and Bruno Nachtergaele

Subjects
Anderson localization, 82B44, math-ph, Complex system, FOS: Physical sciences, Quantum entanglement, quantum entanglement, 01 natural sciences, Particle transport, many-body localization, Mathematical Sciences, 010305 fluids & plasmas, symbols.namesake, math.MP, Quantum mechanics, disordered systems, 0103 physical sciences, 010306 general physics, Quantum, Mathematical Physics, Physics, Statistical and Nonlinear Physics, Mathematical Physics (math-ph), Eigenfunction, XY spin chain, Bounded function, Physical Sciences, symbols, Hamiltonian (quantum mechanics)
Abstract

We consider the dynamics of the quantum XY chain with disorder under the general assumption that the expectation of the eigenfunction correlator of the associated one-particle Hamiltonian satisfies a decay estimate typical of Anderson localization. We show that, starting from a broad class of product initial states, entanglement remains bounded for all times. For the XX chain, we also derive bounds on the particle transport which, in particular, show that the density profile of initial states that consist of fully occupied and empty intervals, only have significant dynamics near the edges of those intervals, uniformly for all times., Comment: 22 pages, final version, to appear in Lett. Math. Phys

Published
2016
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