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Quantum Griffiths Inequalities
| Title: | Quantum Griffiths Inequalities |
| Authors: | Miyao, Tadahiro Browse this author |
| Keywords: | Griffiths inequality | | Self-dual cones | | Reflection positivity | | Operator inequalities | | Quantum Ising model | | Quantum rotor model | | Bose-Hubbard model | | Hubbard model |
| Issue Date: | Jul-2016 |
| Publisher: | Springer |
| Journal Title: | Journal of statistical physics |
| Volume: | 164 |
| Issue: | 2 |
| Start Page: | 255 |
| End Page: | 303 |
| Publisher DOI: | 10.1007/s10955-016-1546-4 |
| Abstract: | We present a general framework of Griffiths inequalities for quantum systems. Our approach is based on operator inequalities associated with self-dual cones and provides a consistent viewpoint of the Griffiths inequality. As examples, we discuss the quantum Ising model, quantum rotor model, Bose-Hubbard model, and Hubbard model. We present a model-independent structure that governs the correlation inequalities. |
| Rights: | The final publication is available at Springer via http://dx.doi.org/10.1007/s10955-016-1546-4. |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/66354 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 宮尾 忠宏
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