Stochastic correction to the Maxwell-Bloch equations via the positive P-representation
arxiv(2024)
摘要
Focusing on two-level atoms, we apply the positive P-representation to a
full-wave mixed bosonic and fermionic system of Jaynes-Cummings type and
identify an advantageous degree of freedom in the choice of the involved
nonorthogonal fermionic basis states. On this basis, we propose a stochastic
correction to the Maxwell-Bloch equations by relating them to a stochastic
differential equation on a nonclassical phase space, which captures the full
second quantization dynamics of the system. This approach explores the
connection between semiclassical and field-quantized treatments of light-matter
interaction and can potentially be used for the simulation of nonclassical
light sources while retaining the main advantages of a semiclassical model.
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