Complex Density of Continuum States in Resonant Quantum Tunneling

Stránský, Pavel and Šindelka, Milan and Kloc, Michal and Cejnar, Pavel. (2020) Complex Density of Continuum States in Resonant Quantum Tunneling. Physical Review Letters, 125 (2). 020401.

Full text not available from this repository.

Official URL: https://edoc.unibas.ch/80356/

Downloads: Statistics Overview


We introduce a complex-extended continuum level density and apply it to one-dimensional scattering problems involving tunneling through finite-range potentials. We show that the real part of the density is proportional to a real “time shift” of the transmitted particle, while the imaginary part reflects the imaginary time of an instantonlike tunneling trajectory. We confirm these assumptions for several potentials using the complex scaling method. In particular, we show that stationary points of the potentials give rise to specific singularities of both real and imaginary densities which represent close analogues of excited-state quantum phase transitions in bound systems.
Faculties and Departments:05 Faculty of Science > Departement Physik > Physik > Theoretische Physik (Bruder)
UniBasel Contributors:Kloc, Michal
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:American Physical Society
Note:Publication type according to Uni Basel Research Database: Journal article
Identification Number:
Last Modified:14 Apr 2021 12:03
Deposited On:14 Apr 2021 12:03

Repository Staff Only: item control page