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Gauge covariant construction of the coherent states for a time-dependent harmonic oscillator by algebraic dynamical method |
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| Authors: | Lian-Fu Wei Shun-Jin Wang Quan-Lin Jie |
| Institution: | 1. Institute of Modern Physics and Department of Applied Physics, Southwest Jiaotong University, Chengdu, 60031, People’s Republic of China 2. Department of Modern Physics, Lanzhou University, Lanzhou, 730000, People’s Republic of China 3. Center of Theoretical Physics, CCAST (world Laboratory), Beijing, People’s Republic of China |
| Abstract: | Time-dependent coherent states for a time-dependent harmonic oscillator are constructed in the framework of algebraic dynamics. These coherent states are gauge-covariant, and its time evolution is governed only by the solutions of a linear differential equation which describes the motion of the corresponding classical timedependent harmonic oscillator. Its non-classical and quantum statistical properties can thus be controlled by a proper choice of the frequency of the harmonic oscillator. Our coherent states reduce to Glauber coherent states in the case as the frequency is independent of time. |
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