Quantum decoherence during inflation from gravitational nonlinearities

Quantum decoherence during inflation from gravitational nonlinearities
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膨胀过程中引力非线性导致的量子退相干

DOI:
10.1088/1475-7516/2016/03/022
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发表时间:
2016
影响因子:
6.4
通讯作者:
Elliot Nelson
Elliot Nelson
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Elliot Nelson

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我们研究了由于量子退相干引起的绝热曲率扰动 ζ 的暴胀量子到经典转变,重点关注压缩极限模式耦合所发挥的作用。我们在薛定谔图中演化出量子态 Ψ,以实现与附加环境自由度的通用三次耦合。着眼于最小引力相互作用的情况,我们通过追踪 z 作为环境的其他(主要是较短波长)模式,发现了给定长波长涨落的约简密度矩阵的演化。我们证明暴胀会在波函数 Ψ[z(x)] 中产生相位振荡,从而抑制约简密度矩阵的非对角分量,留下不同经典配置的对角线混合。因此,引力非线性提供了从暴胀产生经典随机扰动的最小机制。我们确定了退相干发生的时间,由于弱耦合,退相干发生在视界后延迟,并发现哈勃尺度模式充当了退相干环境。我们还评论了退相干的观测相关性及其与量子态压缩的关系。
We study the inflationary quantum-to-classical transition for the adiabatic curvature perturbation ζ due to quantum decoherence, focusing on the role played by squeezed-limit mode couplings. We evolve the quantum state Ψ in the Schrödinger picture, for a generic cubic coupling to additional environment degrees of freedom. Focusing on the case of minimal gravitational interactions, we find the evolution of the reduced density matrix for a given long-wavelength fluctuation by tracing out the other (mostly shorter-wavelength) modes of ζ as an environment. We show that inflation produces phase oscillations in the wave functional Ψ[ζ(x)], which suppress off-diagonal components of the reduced density matrix, leaving a diagonal mixture of different classical configurations. Gravitational nonlinearities thus provide a minimal mechanism for generating classical stochastic perturbations from inflation. We identify the time when decoherence occurs, which is delayed after horizon crossing due to the weak coupling, and find that Hubble-scale modes act as the decohering environment. We also comment on the observational relevance of decoherence and its relation to the squeezing of the quantum state.
DOI: 10.1051/0004-6361/201525836
发表时间: 2016-10-01
影响因子: 6.5
作者:
Ade, P. A. R.;Aghanim, N.;Zonca, A.
通讯作者: Zonca, A.
DOI: 10.1007/jhep03(2015)090
发表时间: 2015-03-18
影响因子: 5.4
作者:
Burgess, C. P.;Holman, R.;Williams, M.
通讯作者: Williams, M.