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𝜶
𝜌 = −𝑖
ℏ𝐻, 𝜌 + 𝐿𝑛𝜌𝐿
†𝑛 −
1
2𝐿†𝑛𝐿𝑛, 𝜌
8
𝑛=1
𝛼 = 2 𝜀 = 0.1
𝑃 𝜙− =1
2𝜋 𝑒𝑖𝜙−(𝑚−𝑛) 𝑛, 𝑘 − 𝑛|𝜌|𝑚, 𝑘 − 𝑚
∞
𝑘=max (𝑛,𝑚)
∞
𝑚=0
∞
𝑛=0
𝑺 = 𝟐𝝅 𝑷 𝝓− 𝒎𝒂𝒙 − 𝟏
𝐿1 = 𝑁𝑎†sin 𝜑 𝑎𝑎†
𝑎𝑎†
𝐿2 = 𝑁 cos 𝜑 𝑎𝑎†
𝐿3 = 𝜈 + 1𝑎
𝐿4 = 𝜈𝑎†
𝐿5 = 𝑁𝑏†sin 𝜑 𝑏𝑏†
𝑏𝑏†
𝐿6 = 𝑁 cos 𝜑 𝑏𝑏†
𝐿7 = 𝜈 + 1𝑏
𝐿8 = 𝜈𝑏†
𝐿1 = 𝑁𝑎†sin 𝜑 𝑎𝑎†
𝑎𝑎†
𝐿2 = 𝑁 cos 𝜑 𝑎𝑎†
𝐿3 = 𝜈 + 1𝑎
𝐿4 = 𝜈𝑎†
𝐿5 = 𝑁𝑏†sin 𝜑 𝑏𝑏†
𝑏𝑏†
𝐿6 = 𝑁 cos 𝜑 𝑏𝑏†
𝐿7 = 𝜈 + 1𝑏
𝐿8 = 𝜈𝑏†
𝐻 = ∆ 𝑎†𝑎 − 𝑏†𝑏
𝜌 = −𝑖
ℏ𝐻, 𝜌 + 𝐿𝑛𝜌𝐿
†𝑛 −
1
2𝐿†𝑛𝐿𝑛, 𝜌
8
𝑛=0
𝑳𝟎 = 𝜺 𝒂 − 𝒃
𝐻 = ∆ 𝑎†𝑎 − 𝑏†𝑏 + 𝜺 𝒂†𝒃 + 𝒃†𝒂
𝒪
𝑁 = 5
𝜀 = 0.01
o
o
o
𝑁 = 5 𝛼 = 2
𝑁 = 5 𝛼 = 2
𝜺𝝂∆
𝝋 = 𝑵/𝜶