Dynamics Near Quantum Criticality in Two Space Dimensions
This work addresses dynamical aspects of quantum criticality in two space dimensions. It probes two energy scales: the amplitude (Higgs) mode, which describes fluctuations of the order parameter amplitude in the broken symmetry phase and the dual vortex superfluid stiffness. The results demonstrate...
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Springer
2016
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oai:scholar.dlu.edu.vn:DLU123456789-598212023-11-11T06:52:57Z Dynamics Near Quantum Criticality in Two Space Dimensions Gazit, Snir Energy Science Quantum theory Critical phenomena This work addresses dynamical aspects of quantum criticality in two space dimensions. It probes two energy scales: the amplitude (Higgs) mode, which describes fluctuations of the order parameter amplitude in the broken symmetry phase and the dual vortex superfluid stiffness. The results demonstrate that the amplitude mode can be probed arbitrarily close to criticality in the universal line shape of the scalar susceptibility and the optical conductivity. The hallmark of quantum criticality is the emergence of softening energy scales near the phase transition. In addition, the author employs the charge-vortex duality to show that the capacitance of the Mott insulator near the superfluid to insulator phase transition serves as a probe for the dual vortex superfluid stiffness. The numerical methods employed are described in detail, in particular a worm algorithm for O(N) relativistic models and methods for numerical analytic continuation of quantum Monte Carlo data. The predictions obtained are particularly relevant to recent experiments in cold atomic systems and disordered superconductors. 2016-03-15T01:49:01Z 2016-03-15T01:49:01Z 2015 Book 978-3-319-19354-0 978-3-319-19353-3 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/59821 en application/pdf Springer |
| institution |
Thư viện Trường Đại học Đà Lạt |
| collection |
Thư viện số |
| language |
English |
| topic |
Energy Science Quantum theory Critical phenomena |
| spellingShingle |
Energy Science Quantum theory Critical phenomena Gazit, Snir Dynamics Near Quantum Criticality in Two Space Dimensions |
| description |
This work addresses dynamical aspects of quantum criticality in two space dimensions. It probes two energy scales: the amplitude (Higgs) mode, which describes fluctuations of the order parameter amplitude in the broken symmetry phase and the dual vortex superfluid stiffness. The results demonstrate that the amplitude mode can be probed arbitrarily close to criticality in the universal line shape of the scalar susceptibility and the optical conductivity. The hallmark of quantum criticality is the emergence of softening energy scales near the phase transition. In addition, the author employs the charge-vortex duality to show that the capacitance of the Mott insulator near the superfluid to insulator phase transition serves as a probe for the dual vortex superfluid stiffness. The numerical methods employed are described in detail, in particular a worm algorithm for O(N) relativistic models and methods for numerical analytic continuation of quantum Monte Carlo data. The predictions obtained are particularly relevant to recent experiments in cold atomic systems and disordered superconductors. |
| format |
Book |
| author |
Gazit, Snir |
| author_facet |
Gazit, Snir |
| author_sort |
Gazit, Snir |
| title |
Dynamics Near Quantum Criticality in Two Space Dimensions |
| title_short |
Dynamics Near Quantum Criticality in Two Space Dimensions |
| title_full |
Dynamics Near Quantum Criticality in Two Space Dimensions |
| title_fullStr |
Dynamics Near Quantum Criticality in Two Space Dimensions |
| title_full_unstemmed |
Dynamics Near Quantum Criticality in Two Space Dimensions |
| title_sort |
dynamics near quantum criticality in two space dimensions |
| publisher |
Springer |
| publishDate |
2016 |
| url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/59821 |
| _version_ |
1782541896840642560 |