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Quantum and Semiclassical Optics Journal of the European Optical Society Part B

Particle trapping by oscillating fields: influence of dissipation upon instabilities in quantum fluctuations

B. Baseia, Vanderlei Salvador Bagnato, Marcelo A. Marchiolli, M. C. de Oliveira

Published Aug 1, 1997• 3 citations
Publisher

Abstract

Employing a dissipative Hamiltonian, which constitutes a modified version of a model by Glauber in the absence of friction, we pursue the study of the influence of dissipation upon the squeezing effect of mechanical motion for a trapped particle in a time-dependent field. Here we investigate in what fashion the presence of dissipation affects the instabilities exhibited by this system.

DOI
10.1088/1355-5111/9/4/004

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PARTICLE TRAPPING BY OSCILLATING FIELDS: CONNECTING SQUEEZING WITH COOLING

B. Baseia, Reeta Vyas, Vanderlei Salvador Bagnato

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.

Modern Physics Letters B•Jun 20, 1996•1 citation
Employing a dissipative Hamiltonian, which constitutes a modified version of a model by Glauber in the absence of friction, we pursue the study of the influence of dissipation upon the squeezing effect of mechanical motion for a trapped particle in a time-dependent field. Here we investigate in what fashion the presence of dissipation affects the instabilities exhibited by this system.
The problem of the dissipative systems from the quantum point of view has been of increasing interest, but it is far from having a satisfactory solution (1). There are many problems where the dissipation has an important role such as in quantum optics, in quantum analysis of fields, in quantum gravity (2). Dissipation can be observed in interactions between two systems, the observed system and another one often called reservoir or the bath, into which the energy flows via an irreversiblemanner (3). The system is embedded in some environmentwhich is in principle unknown. For an effective description of such systems, we can use time dependent Hamiltonians which in classical physics yield the proper equation of motion. If the friction is a linear funcion of the velocity with friction constant γ the Hamiltonian is the well known Caldirola Kanai Hamiltonian
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.