Quantum mechanics of a general driven time-dependent oscillator |
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Authors: | C F Lo |
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Institution: | (1) Department of Physics, Florida State University, 32306-3016 Tallahassee, FL, USA;(2) Present address: Department of Physics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong |
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Abstract: | Summary In this paper we investigate the time evolution of a general driven time-dependent oscillator using the evolution operator
method developed by Chenget al. We obtain an exact form of the time evolution operator which, in turn, enables us to find the exact wave functions and coherent
states at any timet. Our analyses indicate that the time-dependent coherent state is equivalent to the well-known squeezed state, while the time-dependent
number state is equivalent to the displaced and squeezed number state. Besides, we also calculate the time-dependent transition
probabilities among the coherent states and number states of a simple harmonic oscillator associated with the initial HamiltonianH(0). |
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Keywords: | Nonclassical photon states (including antibunched squeezed sub-Poissonian) |
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