I would like to plot the First five minimum eigenvalues in assending order w.r.t. ''g '' of the following Matrix using for loop. But am really confuse to sort the minimum eigevlaues. Can anybody help me to solve that?
clc;
syms g
omega=1.0;
D = 1.0;
n=15;
I1=eye(n);
I2=eye(2);
matdimension= n-1;
tempvector = 0:1:matdimension;
tempvector = sqrt(tempvector);
tempmatrix = diag(tempvector);
anni= circshift(tempmatrix,-1);
crea = anni';
sc=(crea)^2;
sanni=(anni)^2;
num=crea*anni;
c=crea+anni;
d=sc+sanni;
sigx=[0,1;1,0];
sigy=[0,-1i;1i,0];
sigz=[1,0; 0,-1];
sigp=(1/2)*(sigx+1i.*sigy);
sigm=(1/2)*(sigx -1i.*sigy);
g=0:0.01:2.0;
for i = 1:length(g)
A= omega.*kron(I2,num) + (D./2).* kron(sigz,I1) + g(i).*kron(sigx,c);
[~,v]=eig(A);
end
%plot(g,p1,'r',g,p2,'r',g,p3,'r',g,p4,'r',g,p5,'r')
%ax = gca;
%set(gca,'XMinorTick','on','YMinorTick','on')

 Akzeptierte Antwort

Takumi
Takumi am 26 Jun. 2020

0 Stimmen

Using sort function, you can sort the elements of matrix in ascending order.
clc;
close all
clear
syms g
omega=1.0;
D = 1.0;
n=15;
I1=eye(n);
I2=eye(2);
matdimension= n-1;
tempvector = 0:1:matdimension;
tempvector = sqrt(tempvector);
tempmatrix = diag(tempvector);
anni= circshift(tempmatrix,-1);
crea = anni';
sc=(crea)^2;
sanni=(anni)^2;
num=crea*anni;
c=crea+anni;
d=sc+sanni;
sigx=[0,1;1,0];
sigy=[0,-1i;1i,0];
sigz=[1,0; 0,-1];
sigp=(1/2)*(sigx+1i.*sigy);
sigm=(1/2)*(sigx -1i.*sigy);
g=0:0.01:2.0;
for i = 1:length(g)
A= omega.*kron(I2,num) + (D./2).* kron(sigz,I1) + g(i).*kron(sigx,c);
[~,v]=eig(A);
V=diag(v);
Vsort = sort(V);
Vsort(1) % minimum eigenvalue
Vsort(1:5) % First five minimum eigenvalues
end

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Gefragt:

AVM
am 25 Jun. 2020

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AVM
am 28 Jun. 2020

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