plot a defined function

hi people. i wrote two functions. they work correctly. now i want to plot the function N(T) versus T in range 0.1 to 14 . but i dont know how to do that.

maybe someone help me plz ?

clear;


function pa = partialtranspose(T)
    J=1;B=4;d=4;
    s0=[1 0;0 1];
    sx=[0 1;1 0];
    sy=[0 -1i;1i 0];
    sz=[1 0;0 -1];
    H = 2*J*kron(sz,sz)+B*(kron(sz,s0)+kron(s0,sz))+d*(kron(sx,sy)-kron(sy,sx)); 
    ro = expm(-H/T)/trace(expm(-H/T));

    pa = [ro(1,1) ro(2,1) ro(1,3) ro(2,3);ro(1,2) ro(2,2) ro(1,4) ro(2,4);
        ro(3,1) ro(4,1) ro(3,3) ro(4,3);ro(3,2) ro(4,2) ro(3,4) ro(4,4)];
end

function ne = N(T)
    ne=0.5*(sum(abs(eig(partialtranspose(T))))-1);
end

Answer 1

[Star Strider]

You can define ‘N’ as an anonymous function.

Try this:

N = @(T) 0.5*(sum(abs(eig(partialtranspose(T))))-1);

Tv = linspace(0.1, 14, 10);                                     % Define Rnage Of ‘T’

for k = 1:numel(Tv)
    Nv(k) = N(Tv(k));
end

figure
plot(Tv, Nv)
grid

I used the loop because ‘partialtranspose’ is not vectorised.

See the documentation on Anonymous Functions for more information on them.

Answer 2

[M]

plot the function N(T) versus T in range 0.1 to 14

T is known ? T =[0.1 : 14 ] ?

And you want to plot ne(T) ?

In this case you could simply write

plot(T,ne)