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