Dynamical squeezing

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Abstract
Squeezing of classical (or quantum) fluctations is studied in a driven one-dimensional oscillator coupled to an environment in thermal equilibrium. The problem is reduced to a quasiclassical Langevin equation. A theory based on an iterative mapping is formulated, and analytical results are obtained from it. Squeezing spectra as a function of damping and frequency are found. The theory gives a finite limit to squeezing of 75% (in power) for systems operating in a steady state. The theory is compared with numerical calculations on the Josephson-junction resistively shunted junction model. The theory is in excellent agreement with numerical results, indicating a possibility of universality of the squeezing spectrum in certain limits of damping and frequency.