2010 Fiscal Year Final Research Report
The exact WKB analysis on correlation functions of low dimensional quantum systems and quantum entanglement.
| Project/Area Number |
20540370
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Mathematical physics/Fundamental condensed matter physics
|
|---|
| Research Institution | Shizuoka University |
|---|
Principal Investigator |
SUZUKI Junji Shizuoka University, 理学部, 教授 (40222062)
|
|---|
| Co-Investigator(Renkei-kenkyūsha) |
KUNIBA Atsuo 東京大学, 大学院・総合文化研究科, 教授 (70211886)
NAKANISHI Tomoki 名古屋大学, 大学院・多元数理研究科, 准教授 (80227842)
|
|---|
| Research Collaborator |
ANDREAS Kluemper ブッパタール大学, 教授
FRANK Goehmann ブッパタール大学, 講師
|
|---|
| Project Period (FY) |
2008 – 2010
|
| Keywords | 可積分系 |
|---|
| Research Abstract |
We develop a novel formulation in an exact quantitative study on the correlation functions of 1D quantum systems at finite temperature. This is accomplished by combining the quantum transfer method and the exact WKB method.
The formulation enables us to carry a rigorous numerical study on the quantum correlations. As a concrete example, we apply it to the spin 1/2 quantum XXZ chain.
The variety of behaviors of the correlation functions and quantum entanglement is observed as we change the system temperature and an applied magnetic field.
|
Research Products
(18 results)
