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  • Artikel  (3)
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  • PACS. 75.10.Nr Spin-glass and other random models  (2)
  • PACS. 02.30.Xx Calculus of variations – 02.30.Yy Control theory – 33.80.Wz Other multiphoton processes  (1)
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  • 1
    Digitale Medien
    Digitale Medien
    The Bethe lattice spin glass revisited (2001)
    Springer
    The European physical journal 20 (2001), S. 217-233 
    Details
    ISSN: 1434-6036
    Schlagwort(e): PACS. 75.10.Nr Spin-glass and other random models
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract: So far the problem of a spin glass on a Bethe lattice has been solved only at the replica symmetric level, which is wrong in the spin glass phase. Because of some technical difficulties, attempts at deriving a replica symmetry breaking solution have been confined to some perturbative regimes, high connectivity lattices or temperature close to the critical temperature. Using the cavity method, we propose a general non perturbative solution of the Bethe lattice spin glass problem at a level of approximation which is equivalent to a one step replica symmetry breaking solution. The results compare well with numerical simulations. The method can be used for many finite connectivity problems appearing in combinatorial optimization.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/PL00011099
    Standort Signatur Erwartet Verfügbarkeit
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  • 2
    Digitale Medien
    Digitale Medien
    The ± J spin glass in Migdal-Kadanoff approximation (2001)
    Springer
    The European physical journal 21 (2001), S. 589-594 
    Details
    ISSN: 1434-6036
    Schlagwort(e): PACS. 75.10.Nr Spin-glass and other random models
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract: We study the low-temperature phase of the three-dimensional ± J Ising spin glass in Migdal-Kadanoff approximation. At zero temperature, T = 0, the properties of the spin glass result from the ground-state degeneracy and can be elucidated using scaling arguments based on entropy. The approach to the asymptotic scaling regime is very slow, and the correct exponents are only visible beyond system sizes around 64. At T 〉 0, a crossover from the zero-temperature behaviour to the behaviour expected from the droplet picture occurs at length scales proportional to T -2/ds where ds is the fractal dimension of a domain wall. Canonical droplet behaviour is not visible at any temperature for systems whose linear dimension is smaller than 16 lattice spacings, because the data are either affected by the zero-temperature behaviour or the critical point behaviour.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/s100510170169
    Standort Signatur Erwartet Verfügbarkeit
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  • 3
    Digitale Medien
    Digitale Medien
    Non-iterative optimal design of quantum controls (2001)
    Springer
    The European physical journal 14 (2001), S. 141-145 
    Details
    ISSN: 1434-6079
    Schlagwort(e): PACS. 02.30.Xx Calculus of variations – 02.30.Yy Control theory – 33.80.Wz Other multiphoton processes
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract: A non-iterative means for quantum control design is introduced with the aim of offering practical designs that can later be fine-tuned with laboratory closed-loop techniques. The procedure recognizes that Hamiltonians for realistic system control applications are rarely known accurately. The algorithm takes advantage of this fact by allowing for managed deviations in the equations of motion, thus removing the standard Lagrange multiplier. Suitable time-dependent cost functional weights are introduced that eliminate the traditional final time matching condition, thereby producing non-iterative design equations as an initial value problem. Removal of the final time condition also eliminates the demand that the target state be reached at any artificially imposed time. Tests on a simple molecular system indicate that the algorithm leads to well-behaved designs and that the weight functions are adequately estimated by order of magnitude analysis.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/s100530170211
    Standort Signatur Erwartet Verfügbarkeit
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