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Acta Physica Polonica A

The Ground State of Ising Model±J on the Tube

M. Błaszyk

Published Jul 1, 2003• 3 citations
Publisher

Abstract

A. Mi cki ewi cz Uni versi ty U multowsk a 85, 61-61 4 Po zna¥, Pol an d ( Recei ved Ma y 14, 2003) A m et hod of l inear equation s is prop osed allo win g a redu ction of a ph ysical pro blem of determination of energy , entropy , or magnetisati on for the systems w ith fro zen disorder to a mathematical problem of solvin g a set of linear equations .A part from an exact metho d for determination of energy and entropy , a typ e of the mean Ùeld approach is presented, which p ermits a summation over series representing entropy .Moreo ver, it was establishe d that magnetisati on can app ear only w hen the antif erromagnetic integrals occur at the zero probabil ity .PAC S numb ers: 05.50.+ q, 75.10.N r, 75.50.L k

DOI
10.12693/aphyspola.104.3

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Use of Bersons-Kulsh Form Factor of Short-Pulse Approximation in Rydberg-State Physics

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of P hy si cs, A. Mi cki ewi cz Uni versi ty U multowsk a 85, 61-61 4 Po zna¥, Pol an d ( Recei ved Sept ember 10, 2002)T h e exp eri men ts on hi gh R y dberg states intera cting w ith short electromagnetic pulses were hitherto mainly explain ed by using numerical integration of the time-dependent Schr odinger equation in a restricted state basis.I n this study w e apply a di˜erent approach based on the Bersons { K ulsh analytica l form factor of the short-pulse approximation.T his analyti cal approach is show n to w ell repro duce the recent exp erimental results and those of numerical integration of the time-dependen t Schr odinger equation both in the case of terahert z half -cycle pulses and optical many-cycle pulses.T his fact enables a recommendation of the analytical Bersons{K ulsh form factor as an alternati ve and e£cient metho d of quantum calculatio ns of electromagneticall y induced Rydb erg state redistrib uti on.

Acta Physica Polonica A•Jan 1, 2003•1 citation
A. Mi cki ewi cz Uni versi ty U multowsk a 85, 61-61 4 Po zna¥, Pol an d ( Recei ved Ma y 14, 2003) A m et hod of l inear equation s is prop osed allo win g a redu ction of a ph ysical pro blem of determination of energy , entropy , or magnetisati on for the systems w ith fro zen disorder to a mathematical problem of solvin g a set of linear equations .A part from an exact metho d for determination of energy and entropy , a typ e of the mean Ùeld approach is presented, which p ermits a summation over series representing entropy .Moreo ver, it was establishe d that magnetisati on can app ear only w hen the antif erromagnetic integrals occur at the zero probabil ity .PAC S numb ers: 05.50.+ q, 75.10.N r, 75.50.L k
Facul t y of P hy si cs, A da m Mi cki ewi cz Uni versi ty Um ultowsk a 85, 61-61 4 Po zna¥, Pol and ( Recei ved A ugust 18, 2 003) A proto col for t elep ort i ng t w o qudit s simult aneousl y in opposite directions using a single pair of ma ximall y entangled qudits is presented .T his pro cedure w or ks pro vided that the pro duct of dimensi ons d 1 and d 2 of the tw o qudits to be telep orted do es not exceed the dimension d of the indiv id ual qudits in the maximall y entangled pair.PAC S numb ers: 03.67.{a
of P hy si cs, A. Mi cki ewi cz Uni versi ty U multowsk a 85, 61-61 4 Po zna¥, Pol an d ( Recei ved Sept ember 10, 2002)T h e exp eri men ts on hi gh R y dberg states intera cting w ith short electromagnetic pulses were hitherto mainly explain ed by using numerical integration of the time-dependent Schr odinger equation in a restricted state basis.I n this study w e apply a di˜erent approach based on the Bersons { K ulsh analytica l form factor of the short-pulse approximation.T his analyti cal approach is show n to w ell repro duce the recent exp erimental results and those of numerical integration of the time-dependen t Schr odinger equation both in the case of terahert z half -cycle pulses and optical many-cycle pulses.T his fact enables a recommendation of the analytical Bersons{K ulsh form factor as an alternati ve and e£cient metho d of quantum calculatio ns of electromagneticall y induced Rydb erg state redistrib uti on.