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arXiv quant-ph/0308064quant-ph
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玻色子的高斯量子算符表示

Gaussian quantum operator representation for bosons

Joel F. Corney, Peter D. Drummond

摘要:

我们引入高斯量子算符表示,使用最一般的多模高斯算符基。该表示法统一并扩展了玻色系统的密度矩阵的相空间表示法,还包括广义压缩态和热基。它使量子多体系统中的第一原理动力学或平衡计算成为可能,量子不确定性作为动力学对象出现。任何二次刘维尔方程的密度算子的结果在一个纯粹的确定性的时间演化。任何三次或四次主方程都可以用随机方法处理。

英文摘要:

We introduce the Gaussian quantum operator representation, using the most general multi-mode Gaussian operator basis. The representation unifies and substantially extends existing phase-space representations of density matrices for Bose systems, and also includes generalized squeezed-state and thermal bases. It enables first-principles dynamical or equilibrium calculations in quantum many-body systems, with quantum uncertainties appearing as dynamical objects. Any quadratic Liouville equation for the density operator results in a purely deterministic time evolution. Any cubic or quartic master equation can be treated using stochastic methods.

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