问题描述
我是 QuTip 的新手,我正在尝试为我需要解决的问题编写一个汉密尔顿式。哈密顿数有许多乘以“h bar”的项,我不知道如何阻止 QuTip 使这些项等于零矩阵。从下面编写的代码中可以看出,当我使 h bar=1 时,我有一个非零矩阵,但是一旦我将它乘以 h bar,它就会变成零矩阵。我该如何解决这个问题?
另外,我尝试使用 mpmath 但它似乎没有给出预期的结果,因为显然它不能为“量子对象”定义
from mpmath import *
N=5
wa=205.6*2*np.pi*(10**12)
Q=10^7
k=wa/Q
Delta=k
a=tensor(qeye(N),destroy(N))
b=tensor(destroy(N),qeye(N))
h=1.055*10**(-34)
mp.dps=100
H1= mpf(h)*Delta*(a.dag()*a)
H2=Delta*(a.dag()*a)
print(H1)
print(H2)
Ouput:
Quantum object: dims = [[3,3],[3,3]],shape = (9,9),type = oper,isherm = True
Qobj data =
[[0. 0. 0. 0. 0. 0. 0. 0. 0.]
[0. 0. 0. 0. 0. 0. 0. 0. 0.]
[0. 0. 0. 0. 0. 0. 0. 0. 0.]
[0. 0. 0. 0. 0. 0. 0. 0. 0.]
[0. 0. 0. 0. 0. 0. 0. 0. 0.]
[0. 0. 0. 0. 0. 0. 0. 0. 0.]
[0. 0. 0. 0. 0. 0. 0. 0. 0.]
[0. 0. 0. 0. 0. 0. 0. 0. 0.]
[0. 0. 0. 0. 0. 0. 0. 0. 0.]]
Quantum object: dims = [[3,isherm = True
Qobj data =
[[0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00
0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00
0.00000000e+00]
[0.00000000e+00 9.93709922e+13 0.00000000e+00 0.00000000e+00
0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00
0.00000000e+00]
[0.00000000e+00 0.00000000e+00 1.98741984e+14 0.00000000e+00
0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00
0.00000000e+00]
[0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00
0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00
0.00000000e+00]
[0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00
9.93709922e+13 0.00000000e+00 0.00000000e+00 0.00000000e+00
0.00000000e+00]
[0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00
0.00000000e+00 1.98741984e+14 0.00000000e+00 0.00000000e+00
0.00000000e+00]
[0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00
0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00
0.00000000e+00]
[0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00
0.00000000e+00 0.00000000e+00 0.00000000e+00 9.93709922e+13
0.00000000e+00]
[0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00
0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00
1.98741984e+14]]
``
解决方法
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