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Quantum Optics Journal of the European Optical Society Part B

Particle trapping by oscillating fields: squeezing effects

B. Baseia, Reeta Vyas, Vanderlei Salvador Bagnato

Published Jun 1, 1993• 19 citations
Publisher

Abstract

The authors employ a recent model studied by Glauber (1991) for particle trapping by oscillating fields and a time-dependent canonical transformation to investigate the generation of squeezing effects for this system.
DOI
10.1088/0954-8998/5/3/004

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In a previous paper [Quantum Opt.5, 155 (1993)] we have employed a recent model by Glauber for particle trapping by oscillating fields to investigate the occurrence of the squeezing effect for this system. Here we construct a linear time-dependent invariant which allows us to obtain the wave function of the system. The treatment is general for a class of time-dependent Hamiltonian, the application to our previous work being a particularization of the present procedure.

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In a previous paper (ibid. vol.5, p.155, 1993), we studied squeezing of mechanical motion for a particle trapped in oscillating fields. We considered a model proposed by Glauber and time-dependent transformations to show that the system may exhibit quantum fluctuations below the shot noise level. Here we pursue this investigation to discuss the regions of instability, where for a certain range of parameters, variance of quadrature phase amplitudes continues to grow with time.

Quantum Optics Journal of the European Optical Society Part B•Apr 1, 1994•6 citations
The first observation of the squeezing effect outside the optical domain was reported very recently for trapped atoms [D. M. Meekhof et al., Phys. Rev. Lett.76, 1796 (1996)]. Pursuing this line and a sequel of previous works of ours we employ a model by Glauber and a method of invariants by Lewis and Riesenfeld to establish a connection between the squeezing and the cooling effects in the system. From this connection the occurrence of squeezing could be detected through the measurement of the dispersion in the variable [Formula: see text] and of the temperature.