Quantum-field-theoretical techniques for stochastic representation of quantum problems

Quantum-field-theoretical techniques for stochastic representation of quantum problems
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用于量子问题随机表示的量子场理论技术

DOI:
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发表时间:
2001
期刊:
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通讯作者:
M. Collett
M. Collett
中科院分区:
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文献类型:
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作者:
L. Plimak;M. Fleischhauer;M. Olsen;M. Collett

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翻译后摘要:我们描述量子场论(QFT)技术映射到c-数随机问题的量子问题。这种方法产生的结果是相同的相空间技术[C.W.加德纳,量子噪声(1991)],后者导致对应伪概率分布的福克-普朗克方程。如果相空间技术不导致福克-普朗克方程,因此不能产生一个随机表示,QFT技术仍然产生随机差分方程在离散时间。
Abstract: We describe quantum-field-theoretical (QFT) techniques for mapping quantum problems onto c-number stochastic problems. This approach yields results which are identical to phase-space techniques [C.W. Gardiner, Quantum Noise (1991)] when the latter result in a Fokker-Planck equation for a corresponding pseudo-probability distribution. If phase-space techniques do not result in a Fokker-Planck equation and hence fail to produce a stochastic representation, the QFT techniques nevertheless yield stochastic di erence equations in discretised time.