Harmonically Trapped Classical Gas under Critical Rotation

• Authors: J. Chwedeńczuk , P. Ziń , M. Trippenbach , B. Dąbrowska , M. Gajda , K. Rzążewski
• Languages of publication: EN

Abstracts

EN

We study one- and two-dimensional systems of two interacting particles in a time dependent harmonic potential. In a case of one-dimensional geometry a frequency of the potential varies periodically, while in the two-dimen- sional~case the harmonic potential rotates with a constant angular velocity. We show that depending on the driving frequency the distance between the particles can either explode or stay bound. Repulsive interaction can prevent the explosion, which seems quite counter-intuitive. Our work is related to Ecole Normale Supérieure experiment and shows that the effect found there is purely classical.

Keywords

EN

03.75.-b; 03.75.Fi

Discipline

• 03.75.-b: Matter waves(for atom interferometry, see 37.25.+k; see also 67.85.-d ultracold gases, trapped gases in quantum fluids and solids)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2003
• Volume: 104
• Issue: 5
• Pages: 399-407

Dates

published

2003-11

received

2003-04-28

revised

2003-08-11

Contributors

author

J. Chwedeńczuk

• Institute of Experimental Physics, Warsaw University, Hoża 69, 00-681 Warsaw, Poland

author

P. Ziń

• Institute of Experimental Physics, Warsaw University, Hoża 69, 00-681 Warsaw, Poland

author

M. Trippenbach

• Institute of Experimental Physics, Warsaw University, Hoża 69, 00-681 Warsaw, Poland

author

B. Dąbrowska

• Cardinal Wyszyński University, al. Lotników 32/46, 02-668 Warszawa, Poland

author

M. Gajda

• Institute of Physics, Polish Academy of Sciences, al. Lotników 32/46, 02-668 Warszawa, Poland

author

K. Rzążewski

• Cardinal Wyszyński University, al. Lotników 32/46, 02-668 Warszawa, Poland
• Center for Theoretical Physics, Polish Academy of Sciences, al. Lotników 32/46, 02-668 Warszawa, Poland

References

• 1. N.M. McLachlan, Theory and application of Mathieu functions, Clarendon Press, Oxford 1947
• 2. N.N. Bogoliubov, Y.A. Mitropolsky, Asymptotic Methods in the Theory of Non-linear Oscillations, Gordon and Breach Science Publishers, New York 1961
• 3. C. Hayashi, Nonlinear Oscillations in Physical Systems, Princeton University Press, Princeton 1985
• 4. V.V. Bolotin, The Dynamic Stability of Elastic Systems, Holden-Day, San Francisco 1964
• 5. L. Salasnich, Laser Physics, 13, 547, 2003
• 6. Yu. Kagan, L.A. Maksimov, e-print cond-mat/0212377
• 7. P. Rosenbuch, D.S. Petrov, S. Sinha, F. Chevy, V. Bretin, G. Schlyapnikow, J. Dalibard, Phys. Rev. Lett., 88, 250403, 2002
• 8. J.G. Leopold, I.C. Percival, Phys. Rev. Lett., 41, 944, 1978

Identifiers

DOI

10.12693/APhysPolA.104.399