The quantum Ising chain for beginners
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2020
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910494573461504 |
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| author | Mbeng, Glen Bigan Russomanno, Angelo Santoro, Giuseppe E. |
| author_facet | Mbeng, Glen Bigan Russomanno, Angelo Santoro, Giuseppe E. |
| contents | We present here various techniques to work with clean and disordered quantum Ising chains, for the benefit of students and non-experts. Starting from the Jordan-Wigner transformation, which maps spin-1/2 systems into fermionic ones, we review some of the basic approaches to deal with the superconducting correlations that naturally emerge in this context. In particular, we analyse the form of the ground state and excitations of the model, relating them to the symmetry-breaking physics, and illustrate aspects connected to calculating dynamical quantities, thermal averages, correlation functions and entanglement entropy. A few problems provide simple applications of the techniques. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2009_09208 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | The quantum Ising chain for beginners Mbeng, Glen Bigan Russomanno, Angelo Santoro, Giuseppe E. Quantum Physics Quantum Gases We present here various techniques to work with clean and disordered quantum Ising chains, for the benefit of students and non-experts. Starting from the Jordan-Wigner transformation, which maps spin-1/2 systems into fermionic ones, we review some of the basic approaches to deal with the superconducting correlations that naturally emerge in this context. In particular, we analyse the form of the ground state and excitations of the model, relating them to the symmetry-breaking physics, and illustrate aspects connected to calculating dynamical quantities, thermal averages, correlation functions and entanglement entropy. A few problems provide simple applications of the techniques. |
| title | The quantum Ising chain for beginners |
| topic | Quantum Physics Quantum Gases |
| url | https://arxiv.org/abs/2009.09208 |