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Title: Superradiance in a two-channel quantum wire

A one-dimensional, two-channel quantum wire is studied in the effective non-Hermitian Hamiltonian framework. Analytical expressions are derived for the band structure of the isolated wire. Quantum states and transport properties of the wire coupled to two ideal leads at the edges are studied in detail. The width distribution of the quasistationary states varies as a function of the coupling strength to the environment. At weak coupling, all the eigenenergies uniformly acquire small widths. The picture changes entirely at strong coupling, a certain number of states (“super-radiant”) are greatly broadened, while the rest remain long-lived states, a pure quantum mechanical effect as a consequence of quantum interference. The transition between the two regimes greatly influences the transport properties of the system. The maximum transmission through the wire occurs at the super-radiance transition. We consider also a realistic situation with energy-dependent coupling to the continuum due to the existence of decay threshold where super-radiance still plays a significant role in transport properties of the system.
Authors:
 [1] ;  [2]
  1. Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA and Department of Electrical and Computer Engineering, College of Engineering, Michigan State University, East Lansing, Michigan 48824 (United States)
  2. Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA and National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824 (United States)
Publication Date:
OSTI Identifier:
22307985
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1619; Journal Issue: 1; Conference: 4. conference on nuclei and mesoscopic physics 2014, East Lansing, MI (United States), 5-9 May 2014; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COUPLING; ELECTRONIC STRUCTURE; ENERGY DEPENDENCE; HAMILTONIANS; INTERFERENCE; ONE-DIMENSIONAL CALCULATIONS; QUANTUM MECHANICS; QUANTUM STATES; QUANTUM WIRES; SUPERRADIANCE