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We develop a statistical theory that describes quantum-mechanical scattering of a particle by a cavity when the geometry is such that the classical dynamics is chaotic. This picture is relevant to a variety of physical systems, ranging from…

介观与纳米尺度物理 · 物理学 2016-12-21 Pier A. Mello , Victor A. Gopar , J. A. Mendez-Bermudez

This review was born as notes for a lecture given at the YRIS school on integrability in Durham, in the summer of 2015. It deals with a beautiful method, developed in the mid-nineties by V.V. Bazhanov, S.L. Lukyanov and A.B. Zamolodchikov…

数学物理 · 物理学 2016-07-26 Stefano Negro

These are exciting times for quantum physics as new quantum technologies are expected to soon transform computing at an unprecedented level. Simultaneously network science is flourishing proving an ideal mathematical and computational…

量子物理 · 物理学 2024-06-13 Johannes Nokkala , Jyrki Piilo , Ginestra Bianconi

Diffusion processes are instrumental to describe the movement of a continuous quantity in a generic network of interacting agents. Here, we present a probabilistic framework for diffusion in networks and propose to classify agent…

社会与信息网络 · 计算机科学 2015-08-28 Wai Hong Ronald Chan , Matthias Wildemeersch , Tony Q. S. Quek

In this doctoral thesis we have studied the quantum properties of several models which have been classified as statical and dynamical systems. The first part has been devoted to investigate the properties of the statical models including…

量子物理 · 物理学 2011-08-25 Faisal Aly Aly El-Orany

Tensor networks were developed in the context of many-body physics as compressed representations of multiparticle quantum states. These representations mitigate the exponential complexity of many-body systems by capturing only the most…

机器学习 · 计算机科学 2026-04-17 Guillermo Valverde , Igor García-Olaizola , Giannicola Scarpa , Alejandro Pozas-Kerstjens

We consider a social-type network of coupled phase oscillators. Such a network consists of an active core of mutually interacting elements, and of a flock of passive units, which follow the driving from the active elements, but otherwise…

斑图形成与孤子 · 物理学 2020-11-04 Arkady Pikovsky

We analyze the collective spin noise in interacting spin systems. General expressions are derived for the short time behaviour of spin systems with general spin-spin interactions, and we suggest optimum experimental conditions for the…

量子物理 · 物理学 2009-11-07 Xiaoguang Wang , Anders S. Sorensen , Klaus Molmer

We present our recent work on stochastic particle systems on complex networks. As a noninteracting system we first consider the diffusive motion of a random walker on heterogeneous complex networks. We find that the random walker is…

统计力学 · 物理学 2007-05-23 Jae Dong Noh

The engineering and control of devices at the quantum-mechanical level--such as those consisting of small numbers of atoms and photons--is a delicate business. The fundamental uncertainty that is inherently present at this scale manifests…

概率论 · 数学 2009-05-02 Luc Bouten , Ramon van Handel , Matthew R. James

The purpose of this paper is to present a comprehensive study of a coherent feedback network where the main component consists of two distant double quantum dot (DQD) qubits which are directly coupled to a cavity. This main component has…

量子物理 · 物理学 2020-04-09 Zhiyuan Dong , Wei Cui , Guofeng Zhang

We derive upper and lower bounds on the convergence behavior of certain classes of one-parameter quantum dynamical semigroups. The classes we consider consist of tensor product channels and of channels with commuting Liouvillians. We…

量子物理 · 物理学 2012-02-03 Michael J. Kastoryano , David Reeb , Michael M. Wolf

Recent advances in quantum hardware motivate the development of algorithmic frameworks that integrate quantum sampling with classical inference. This work introduces a segmentation-based regression method tailored to quantum neural networks…

量子物理 · 物理学 2025-07-02 James C. Hateley

The complementary features of different qubit platforms for computing and communicating impose an intrinsic hardware heterogeneity in any quantum network, where nodes, while processing and storing quantum information, must also communicate…

量子物理 · 物理学 2026-01-14 Marcello Caleffi , Laura d'Avossa , Xu Han , Angela Sara Cacciapuoti

We generalize a recently developed scheme for monitoring coherent quantum dynamics with good time-resolution and low backaction [Reuther et al., Phys. Rev. Lett. 102, 033602 (2009)] to the case of more complex quantum dynamics of one or…

超导电性 · 物理学 2011-04-05 Georg M. Reuther , David Zueco , Peter Hänggi , Sigmund Kohler

In this work we discuss the symmetric construction of bosonic and fermionic networks and we present a case of a network showing a mixed quantum statistics. This model takes into account the different nature of nodes, described by a random…

统计力学 · 物理学 2009-11-07 Ginestra Bianconi

Detecting coherence transfer in complex quantum networks can be challenging due to uncharacterized experimental conditions and limited system access. Here, we use static and dynamic coherence features to introduce a nonlinear criterion for…

Adiabatic approximations are a powerful tool for simplifying nonlinear quantum dynamics, and are applicable whenever a system exhibits a hierarchy of time scales. Current interest in small nonlinear quantum systems, such as few-mode…

量子气体 · 物理学 2012-05-15 M. P. Strzys , J. R. Anglin

We introduce the notion of corresponding a chemical reaction network to a split network translation, and use this novel process to extend the scope of existing network-based theory for characterizing the steady state set of mass-action…

动力系统 · 数学 2021-04-09 Matthew D. Johnston

In this paper we state the basics for a signal processing framework on quiver representations. A quiver is a directed graph and a quiver representation is an assignment of vector spaces to the nodes of the graph and of linear maps between…

信号处理 · 电气工程与系统科学 2020-10-24 Alejandro Parada-Mayorga , Hans Riess , Alejandro Ribeiro , Robert Ghrist