Cellular Automata Simulations for the System of Two-Level Atoms Placed in Two-Dimensional Cavity
Nguyen T.V. 1, Bui D.T. 2, Cao Long V. 1*, Leoński W. 1
1 Quantum Optics and Engineering Division, Institute of Physics
University of Zielona Góra, A. Szafrana 4a, 65-516 Zielona Góra, Poland2 Vinh University, 182 Le Duan str., Vinh, Nghe An, Vietnam
∗E-mail: caolongvanuz@gmail.com
Received:
Received: 7 August 2013; accepted: 23 August 2013; published online: 13 September 2013
DOI: 10.12921/cmst.2013.19.04.189-194
OAI: oai:lib.psnc.pl:455
Abstract:
In this paper, using one of the most effective simulation methods, namely the cellular automata formalism, we simulate the dynamics of a system which is composed of a large number of two-level atoms placed in a two-dimensional cavity. We suppose additionally that the cavity is confined by four semi-transparent “mirrors”. We show that similarly to the one-dimensional case, several interesting effects including the molasses effect occur in the considered system.
Key words:
cellular automata, molasses effect, system of two-level atoms, two-dimensional cavity
References:
[1] R. P. Feynman, Simulating Physics with Computers, Int. J. Theor. Phys. 21, 67-488 (1982).
[2] R. P. Feynman, Quantum Mechanical Computers, Found. Phys. 16, 507-531 (1986).
[3] A. Kowalewska-Kudłaszyk and W. Leo ́ nski, Cellular automata and two-level systemsdynamics – Spreading of disorder, J. Comp. Meth. Sci. Eng. 8, 147-157 (2008).
[4] W. Leo ́ nski and A. Kowalewska-Kudłaszyk, Cellular Automata – a Tool for Disorder, Noise and Dissipation Investigations, Cellular Automata, in: A. Salcido (ed.) Simplicity Behind Complexity, InTech, p. 419-438, 2011. Available at: http://www.intechopen.com/books/cellular-automata-simplicity-behind-complexity/cellular-automata-a-tool-for-
disorder-noise-and-dissipation-investigations
[5] L. Alen and J. H. Eberly, Optical resonance and Two-level atoms, Dover, New York 1987.
[6] J. P. Eckmann, S. O. Kamphorst, and D. Ruelle, Recurrence Plots of Dynamic-Systems, Europhys. Lett. 4, 973-977 (1987).
[7] E. Bradley, R. Mantilla, Recurrence plots and unstable periodic orbits, Chaos 12, 596-600 (2002).
In this paper, using one of the most effective simulation methods, namely the cellular automata formalism, we simulate the dynamics of a system which is composed of a large number of two-level atoms placed in a two-dimensional cavity. We suppose additionally that the cavity is confined by four semi-transparent “mirrors”. We show that similarly to the one-dimensional case, several interesting effects including the molasses effect occur in the considered system.
Key words:
cellular automata, molasses effect, system of two-level atoms, two-dimensional cavity
References:
[1] R. P. Feynman, Simulating Physics with Computers, Int. J. Theor. Phys. 21, 67-488 (1982).
[2] R. P. Feynman, Quantum Mechanical Computers, Found. Phys. 16, 507-531 (1986).
[3] A. Kowalewska-Kudłaszyk and W. Leo ́ nski, Cellular automata and two-level systemsdynamics – Spreading of disorder, J. Comp. Meth. Sci. Eng. 8, 147-157 (2008).
[4] W. Leo ́ nski and A. Kowalewska-Kudłaszyk, Cellular Automata – a Tool for Disorder, Noise and Dissipation Investigations, Cellular Automata, in: A. Salcido (ed.) Simplicity Behind Complexity, InTech, p. 419-438, 2011. Available at: http://www.intechopen.com/books/cellular-automata-simplicity-behind-complexity/cellular-automata-a-tool-for-
disorder-noise-and-dissipation-investigations
[5] L. Alen and J. H. Eberly, Optical resonance and Two-level atoms, Dover, New York 1987.
[6] J. P. Eckmann, S. O. Kamphorst, and D. Ruelle, Recurrence Plots of Dynamic-Systems, Europhys. Lett. 4, 973-977 (1987).
[7] E. Bradley, R. Mantilla, Recurrence plots and unstable periodic orbits, Chaos 12, 596-600 (2002).
