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. [1]
One may think of a non-linear coherent state [2] by generalizing the annihilation operator:
and then using any of the above definitions by exchanging by . The above definition is also known as an -deformed annihilation operator. [3] [4]
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. [1]
One may think of a non-linear coherent state [2] by generalizing the annihilation operator:
and then using any of the above definitions by exchanging by . The above definition is also known as an -deformed annihilation operator. [3] [4]