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arXiv:cond-mat/0506477 · Physics Letters A

Quantum transport from the perspective of quantum open systems

Ping Cui, Xin-Qi Li, Jiushu Shao, YiJing Yan

Published May 6, 2006• 36 citations
arXivHTMLPDF
DOI
10.1016/j.physleta.2006.04.075

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This Special Issue presents contributions from leading experts working in different branches of quantum physics. The relevance of quantum transport and diffusion processes at both a fundamental and technological level is well highlighted by the variety of applications discussed. Fundamental problems, such as the description of the evolution of open quantum systems, can be explored in terms of excitation transport in suitable structures, whereas the motion of particles on a graph can provide information on the graph itself, thus becoming a metrological resource. Quantum information transfer and routing protocols are instead representative of the class of quantum transport problems that have direct application to quantum technologies. The contributions to this book offer therefore a variety of different perspectives on quantum transport and diffusion processes, and allow to fully appreciate the centrality of the topic in the realm of quantum physics and fast developing quantum technologies.
The hierarchical equations of motion (HEOM) formalism developed recently is becoming an important method for investigating the properties and dynamical processes of quantum open systems. A comprehensive account on its establishment and recent development was given, covering theoretical formulations, numerical algorithm and practical applications. By construction HEOM resolves in a nonperturbative manner the combined effects of many-body interaction, system-environment coupling and non-Markovian memory. While it is mathematically equivalent to an exact path integral formalism, HEOM is also very convenient in computation and versatile in various systems of study. Moreover, it is shown recently that HEOM is actually a correlated system-environment dynamics theory. The practicality of HEOM to address physical and chemical problems was exemplified with examples relevant to quantum dissipation and quantum transport.