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Entropy evolution law of general quadratic state in a laser channel
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DOI：10.15302/frontphys.2025.022205.png)
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Abstract
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Using the integration within ordered products, we obtain the analytical density-operator evolution of the general quadratic state in a laser rho 0 channel, which always maintains the same form as the initial density operator . Introducing the differential representation of the von-Neumann rho 0 entropy and two important resemble formulas, we analytically and numerically investigate the entropy evolution of the state in a laser channel, rho 0 which is determined by not only the competition of the gain and loss of the laser channel, but also the coefficients alpha, beta of the initial quadratic state p 0 .
Keywords:
general quadratic state
laser channel
quantum entropy
operator ordering
integration within ordered product
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