TL;DR
This paper investigates how the squeezing dynamics of a damped harmonic oscillator are influenced by different non-Markovian environments, revealing the critical role of reservoir structure in quantum state evolution.
Contribution
It provides an analytical analysis of squeezing dynamics in non-Markovian environments, highlighting the impact of reservoir spectral properties on quantum state behavior.
Findings
Squeezing dynamics depend uniquely on reservoir spectrum
Clear connection between oscillations and reservoir structure
Analytical results for weak coupling regimes
Abstract
The squeezing dynamics of a damped harmonic oscillator are studied for different types of environment without making the Markovian approximation. The squeezing dynamics of a coherent state depend on the reservoir spectrum in a unique way that can, in the weak coupling approximation, be analyzed analytically. Comparison of squeezing dynamics for Ohmic, sub-Ohmic and super-Ohmic environments is done showing a clear connection between the squeezing--non-squeezing oscillations and reservoir structure. Understanding the effects occurring due to structured reservoirs is important both from a purely theoretical point of view and in connection with evolving experimental techniques and future quantum computing applications.
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