Charge Echo In An Electron Gas

<p>In this work, we investigate the charge, or Loschmidt echo of a system of spinless electrons described by a simple tight-binding Hamiltonian. For this system it is possible to construct a unitary operator, T, that reverses the time evolution of the electron degrees of freedom. The electron gas is prepared in an initially inhomogeneous state. After a free evolution for a time t₀, the electrons are distributed more or less uniformly, and the unitary operator, T is applied. The time evolution is reversed, and at time 2t₀ the local density returns to its initial value, demonstrating the Loschmidt echo. The effect of several factors that reduce the strength of the echo are considered: imperfect implimentaton of T, second-neighbor hopping terms, and coupling the electron to phonons.</p>

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Campus Access Dissertation

Discipline thesis:degree_discipline

Physics and Astronomy

Year

2010

Author dc:creator

• Liu, Baowei

Contributors dc:contributor

• Richard J Creswick

• Physical Sciences and Mathematics
• Physics
• Charge Echo
• Electron Gas
• Next-Nearest Neighbor Hopping
• Perturbation
• Phonon coupling
• Tight-Binding Model

Statement dc:rights

• © 2010, Baowei Liu

Repository record dc:identifier

https://scholarcommons.sc.edu/etd/1751

OAI identifier oai:identifier

oai:scholarcommons.sc.edu:etd-2752