A Quantum Optical Approach to the effect of a Laser Mode on the Motion of Atomic Vapor by Varying the Field Coherence Angles
Asian Journal of Research and Reviews in Physics,
We follow theoretically the motion of the sodium atoms in vapor state under the influence of a laser mode in (1 + 1) D, which is achieved by introducing different optical filters. In the Dirac interaction representation, the equations of motion are represented via the Bloch form together with the Pauli operators to find the elements of the density matrix of the system. The emergence of the principle of coherence in varying the angles of the laser mode permits the evaluation of the average force affecting the atoms' acceleration or deceleration, and hence the corresponding velocities and temperatures are investigated. The atomic vapor is introduced in a region occupied by a heat bath presented by the laser field, such that the state of the atomic vapor is unstable inside the system due to the loss or gain of its kinetic energy to or from the laser field. This instability is studied by finding the eigenvalues of the system's entropy. Resorting to the assumption of Botin, Kazantsev, and Pusep, who issued in the presence of the weak and strong spontaneous emission, a coupling between the mean numbers of photons in terms of time, which allows the evaluation of the rate of entropy production of the system under study. No singularities are found throughout the process of equations solving and other calculations. Resorting to symbolic software, a set of figures illustrating the nonlinear behavior in the dynamics of the problem is present. In this paper, we introduce a theoretical study of the effect of two-counter propagation traveling plane waves on the motion of the sodium atoms in the vapor state by varying the coherence angles to investigate the atomic behavior. Good agreements are found with previous studies.
- Laser pressure on atomic vapor
- dirac representation
- Coherent states
- spontaneous emission
- irreversible statistical mechanics
- standing waves.
How to Cite
2. Botin AP, Kazentsev AP. Scattering of atoms by light. American Institute of Physics. Sov. Phys-JETP. 1976;41(6).
3. PusepAYu. Acceleration of atoms by a strong resonance field. Sov. Phys-JETP. 1976;43(3) March.
4. Abourabia AM, Hasseeb ER. Deceleration of atoms in an n-photon process by mean of laser -travelling wave in the Dirac representation. Cheos, Solitons&Fractals; 2001.
5. Minogin VG, Letokhov VS. Laser light pressure on atoms. New York: Gordon and Breach; Nauk, Moscow; 1987.
6. Gazeau JP (Jean-Pierre). Coherent states in quantum physics. ISBN: 978-3- 527-40709-5. Oct; 2009.
7. Sagar V, Sengupta S, Kaw PK. Radiation Reaction effect on laser driven auto- resonant particle acceleration. Physics of Plasmas. 2015;22:123102.
8. Metcalf HJ, Vander Straten P. Laser cooling and trapping. Springer. New York; 1999.
9. Ohya M, Watanabe N, “ Quantum Entropy and Its Applications to Quantum Communication and Statistical Physics” ,Entropy 2010,12,1194-1245.
10. R´edei M, Stoeltzner M. John von neumann and the foundations of quantum physics, 1stEd.,Vienna Circle Institute Year book; 2001.
11. Kazantsev AP. Resonance light pressure. American Institute of Physics, Sov. Phys.Uspekhi, 1978;21(1).
12. Andrade-Morales LA, Villegas-Martinez BM, Moya-Cessa HM. Entropy for the quantized field in the atom–field. Entropy. 2016;18(10):346.
13. Stenholm S. Reviews of Modern Physics. 1986;58(3)July.
14. Keaveney J. Collective Atom Light Interactions in Dense Atomic Vapors. Springer. 16th June; 2014.
15. Loudon R, “The Quantum Theory of light “,3rd Ed. Clarendon Press, Oxford; 2000.
16. Combescure M, Robert D. Coherent States and Applications in Mathematical Physics. Springer Sciences , Business Media B. V.; 2012.
17. Louisell WH. Radiation and noise in quantum electronics. McGraw-Hill, USA; 1964.
18. Louisell WH. Quantum statistical properties of radiation. Wiley Classics Library Edition, New York; 1990.
19. Macovei MA. Optical Force acting on strongly driven atoms in free space or modified reservoirs. Jour. of Phys. B: Atomic; 2012.
20. Buzek V. Sampling entropies and operational phase-pace measurement. I. General Formalism. Phy. Rev. A, 1995;51:(3).
21. University of Oregon, USA, [cited 2009 April].
22. Jordan DW, SmithP. Nonlinear ordinary differential equations: Problems and Solutions. 4th Ed., Oxford; 2007.
23. Kazanstev AP. et al. Grating of neutral atoms in standing light waves field. Optics Communications. 1988;68(2).
24. Steck DA. Sodium D Line Data, theoretical division (T-8), MS 285, Los Alamos National Laboratory, Los Alamos, NM 8754527 May 2000, revision 1.6, 14 October; 2003.
25. Durham University, Joint Quantum Center.
Yamamoto Y (Yoshihisa). QIS385 "Bose-Einstein Condensation and Matter Wave Lasers", Chapter 8 "Quantum theory of matter-wave lasers. National Institute of Informatics-Japan; 2012.
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