Physical Aspect of Exceptional Point in the Liouvillian Dynamics for a Quantum Lorentz Gas
| Autor: | Kazuki Kanki, Tomio Petrosky, Satoshi Tanaka, Kazunari Hashimoto |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Physics
010308 nuclear & particles physics Lorentz transformation Time evolution 01 natural sciences symbols.namesake Classical mechanics Singularity 0103 physical sciences Thermodynamic limit symbols Wigner distribution function Wavenumber Test particle 010306 general physics Quantum Mathematical physics |
| Zdroj: | Springer Proceedings in Physics ISBN: 9783319313542 |
| DOI: | 10.1007/978-3-319-31356-6_17 |
| Popis: | Physical aspect of the exceptional point in the spectrum of the Liouville-von Neumann operator (Liouvillian) is discussed. The example we study in this paper is the weakly-coupled one-dimensional quantum perfect Lorentz gas. The effective Liouvillian for the system derived by applying the Brillouin-Wigner-Feshbach formalism takes non-Hermitian form due to resonance singularity, thus its spectra take complex values. We find that the complex spectra has two second order exceptional points in the wavenumber space. As a physical effect of the exceptional points, we show that the time evolution of the Wigner distribution function is described by the telegraph equation. The time evolution described by the telegraph equation shows a shifting motion in space. We also show that mechanism of the shifting motion completely changes at the exceptional points. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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