Quantum exploration of high-dimensional canyon landscapes

IF 2.2 3区 物理与天体物理 Q2 MECHANICS
Pierfrancesco Urbani
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引用次数: 0

Abstract

Canyon landscapes in high dimension can be described as manifolds of small, but extensive dimension, immersed in a higher dimensional ambient space and characterized by a zero potential energy on the manifold. Here we consider the problem of a quantum particle exploring a prototype of a high-dimensional random canyon landscape. We characterize the thermal partitionfunction and show that around the point where the classical phase space has a satisfiability transition so that zero potential energy canyons disappear, moderate quantum fluctuations have a deleterious effect: they induce glassy phasesat temperature where classical thermal fluctuations alone would thermalize the system. Surprisingly we show that even when, classically, diffusion is expected to be unbounded in space, the interplay between quantum fluctuations and the randomness of the canyon landscape conspire to have a confining effect.
高维峡谷景观的量子探索
高维峡谷地貌可以描述为小维度但大维度的流形,浸没在高维环境空间中,其特征是流形上的势能为零。在此,我们考虑量子粒子探索高维随机峡谷景观原型的问题。我们描述了热分区函数的特征,并证明在经典相空间具有满足性转换从而使零势能峡谷消失的点附近,适度的量子波动会产生有害影响:它们会在仅靠经典热波动就能使系统热化的温度下诱发玻璃相。令人惊奇的是,我们发现,即使在经典的空间扩散是无限制的情况下,量子波动与峡谷景观的随机性之间的相互作用也会产生限制效应。
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来源期刊
CiteScore
4.50
自引率
12.50%
发文量
210
审稿时长
1.0 months
期刊介绍: JSTAT is targeted to a broad community interested in different aspects of statistical physics, which are roughly defined by the fields represented in the conferences called ''Statistical Physics''. Submissions from experimentalists working on all the topics which have some ''connection to statistical physics are also strongly encouraged. The journal covers different topics which correspond to the following keyword sections. 1. Quantum statistical physics, condensed matter, integrable systems Scientific Directors: Eduardo Fradkin and Giuseppe Mussardo 2. Classical statistical mechanics, equilibrium and non-equilibrium Scientific Directors: David Mukamel, Matteo Marsili and Giuseppe Mussardo 3. Disordered systems, classical and quantum Scientific Directors: Eduardo Fradkin and Riccardo Zecchina 4. Interdisciplinary statistical mechanics Scientific Directors: Matteo Marsili and Riccardo Zecchina 5. Biological modelling and information Scientific Directors: Matteo Marsili, William Bialek and Riccardo Zecchina
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