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PATH INTEGRAL APPROACH TO A DAMPED AND DRIVEN OSCILLATOR COUPLED WITH ANOTHER ONE

E. G. THRAPSANIOTIS

52 Vianou Street, 13671 Athens – Aharnes, Greece

https://doi.org/10.1142/S021797920904998XCited by:0 (Source: Crossref)

Abstract

We approach the case of two coupled oscillators where the first one may correspond to a photonic field, while the second one is damped and driven. We model the oscillator's damping via a bath and consider the relevant master equation. We use perturbation theory to handle it. We then path integrate over the effective Hamiltonian of the two oscillators and derive the path integrated density matrix. We suppose that initially both of the oscillators are in coherent states and study the quadrature squeezing effect of the second oscillator.

Keywords:

PACS: 03.65.Db, 03.65.Yz, 05.30.Jp

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References

E. G. Thrapsaniotis, Europhys. Lett. 63, 479 (2003), DOI: 10.1209/epl/i2003-00491-5. Crossref, ADS, Google Scholar
E. G. Thrapsaniotis, Phys. Lett. A 365, 191 (2007), DOI: 10.1016/j.physleta.2007.01.011. Crossref, Web of Science, ADS, Google Scholar
E. G. Thrapsaniotis, Far East Journal of Dynamical Systems 10, 23 (2008). Web of Science, Google Scholar
E. G. Thrapsaniotis, J. Phys. A: Math. Theor. 41, 205202 (2008), DOI: 10.1088/1751-8113/41/20/205202. Crossref, Web of Science, Google Scholar
A. O. Caldeira and A. J. Leggett, Physica A 121, 587 (1983), DOI: 10.1016/0378-4371(83)90013-4. Crossref, Web of Science, ADS, Google Scholar
B. W. Shore and N. V. Vitanov, Contemporary Phys. 47, 341 (2006), DOI: 10.1080/00107510601181159. Crossref, Web of Science, ADS, Google Scholar
S. F. Ozeren, Physica A 337, 81 (2004), DOI: 10.1016/j.physa.2004.01.038. Crossref, Web of Science, ADS, Google Scholar
E. G. Thrapsaniotis, Eur. Phys. J. B 22, 239 (2001), DOI: 10.1007/PL00011145. Crossref, Web of Science, ADS, Google Scholar
R. R. Puri , Mathematical Methods of Quantum Optics ( Springer , Berlin , 2001 ) . Crossref, Google Scholar
W. H. Louisell , Quantum Statistical Properties of Radiation ( Wiley , New York , 1973 ) . Google Scholar
M. Chaichian and A. Demichev , Stochastic Processes and Quantum Mechanics 1 ( IOP Publishing Ltd , Bristol , 2001 ) . Google Scholar
G. J. Papadopoulos, Phys. Rev. D 11, 2870 (1975), DOI: 10.1103/PhysRevD.11.2870. Crossref, Web of Science, Google Scholar
R. J. Glauber, Phys. Rev. 131, 2766 (1963), DOI: 10.1103/PhysRev.131.2766. Crossref, Web of Science, ADS, Google Scholar