Non conventional coherent states
DOI:
https://doi.org/10.31349/RevMexFis.22.010214Keywords:
Harmonic oscillator; Glauber states; exact analytic forms; excited statesAbstract
We analyze properties of excited states of a special Hamiltonian H, endowed with a displaced quadratic potential V such that its ground state is a HO-Glauber coherent state of amplitude α. For large enough real α, we show that the first excited state of this Hamiltonian is also a coherent state of minimum uncertainty.
References
G. S. Agarwal and K. Tara, Nonclassical properties of states generated by the excitations on a coherent state, Phys. Rev. A 43 (1991) 492, https://doi.org/10.1103/PhysRevA.43.492
R. J. Glauber, Phys. Rev. Lett. 10 (1963) 84, https://doi.org/10.1103/PhysRevLett.10.84
R. J. Glauber, The Quantum Theory of Optical Coherence, Phys. Rev. 130 (1963) 2529, https://doi.org/10.1103/PhysRev.130.2529
R. J. Glauber, Phys. Rev. 131 (1963) 493
R. J. Glauber, Coherent and Incoherent States of the Radiation Field, Phys. Rev. 131 (1963) 2766, https://doi.org/10.1103/PhysRev.131.2766
G. L. Ferri et al., New mathematics for the nonadditive Tsallis’ scenario, Int. J. Mod. Phys. B 31 (2017) 1750151, https://doi.org/10.1142/S021797921750151X
I. Gradshteyn and I. Ryzhik, Table of Integrals, Series, and Products (Academic Press, 1965)
A. Plastino and M. Rocca, Teaching strategy for introducing beginners to Coherent States, Rev. Mex. Fis. E 65 (2019) 191, https://doi.org/10.31349/RevMexFisE.65.191
E. Schrödinger, Der stetige Übergang von der Mikrozur Makromechanik, Naturwissenschaften 14 (1926) 664, https://doi.org/10.1007/BF01507634
V. V. Dodonov, V. I. Mankov, Theory of Nonclassical States of Light (Taylor and Francis, London, 2003); V V Dodonovy, Y. A. Korennoyy, V. I. Mankov, Y. A. Moukhin, Quantum Semiclass. Opt. 8 (1996) 413
A. A. Dehghani, B. Mojaveri, and A. A. Alenabi, Excitation and depression of coherent state of the simple harmonic oscillator, J. Math. Phys. 60 (2019) 083501, https://doi.org/10.1063/1.5055915
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2025 A. Plastino, G. L. Ferri
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Authors retain copyright and grant the Revista Mexicana de Física E right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.