Coherent states are quasi-classical states that may be defined in different ways, for instance as eigenstates of the annihilation operator , or as a displacement from the vacuum , where is the Sudarshan-Glauber displacement operator. One may think of a non-linear coherent state by generalizing theannihilation operator: , and then using any of the above definitions by exchanging by . The above definition is also known as an -deformed annihilation operator.
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