Complex spectral analysis on transport phenomena in low dimensional quantum systems

2014 Fiscal Year Final Research Report

• Project/Area Number: 24540411
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: Osaka Prefecture University
• Principal Investigator: KANKI Kazuki 大阪府立大学, 理学(系)研究科(研究院), 准教授 (10264821)
• Co-Investigator(Kenkyū-buntansha): TANAKA Satoshi 大阪府立大学, 大学院理学系研究科, 教授 (80236588)
• Research Collaborator: PETROSKY Tomio テキサス大学, 複雑量子系センター, 上級研究員
• Project Period (FY): 2012-04-01 – 2015-03-31
• Keywords: 非平衡統計力学 / リウビル方程式 / 輸送現象 / 拡散 / 非エルミート縮退

Outline of Final Research Achievements

A quantum system in an environment dissipate its energy to the enveironment. We studied behaviors of various dissipative systems by applying complex spectral analysis of the Liouville operator, which describes behaviors of the systems on the basis of the fundamental laws of nature. We found exotic transport phemena in low dimensional systems as a result of there being invariants of motion. We also found it a commonplace phenomena in dissipative systems that a damping behavior changes over to a damped oscillation.

Free Research Field

物性理論