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1. Bosonic Coherent States Let z E C and let 7 be the Fock space of a single bosonic mode a, satisfying the usual algebr
Posted: Tue Jul 12, 2022 1:35 pm
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- 1 Bosonic Coherent States Let Z E C And Let 7 Be The Fock Space Of A Single Bosonic Mode A Satisfying The Usual Algebr 1 (33.55 KiB) Viewed 26 times
1. Bosonic Coherent States Let z E C and let 7 be the Fock space of a single bosonic mode a, satisfying the usual algebra [a, a¹] = 1. Consider then the state (1) |(2, 2)) = exp(a¹z - ža)|0), (2) where [0) is the vacuum state. The state (z, z)) is known as a bosonic coherent state. 1.2. Consider the rank-1 family of quantum states given by [2), z = C. Compute the Berry gauge field A = (2|d|z) (z|z) ' (4)