Signatures of quantum criticality in the complex inverse temperature plane
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866912043080089600 |
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| author | Liu, Yang Lv, Songtai Yang, Yang Zou, Haiyuan |
| author_facet | Liu, Yang Lv, Songtai Yang, Yang Zou, Haiyuan |
| contents | Concepts of the complex partition functions and the Fisher zeros provide intrinsic statistical mechanisms for finite temperature and real time dynamical phase transitions. We extend the utility of these complexifications to quantum phase transitions. We exactly identify different Fisher zeros on lines or closed curves and elucidate their correspondence with domain-wall excitations or confined mesons for the one-dimensional transverse field Ising model. The crossover behavior of the Fisher zeros provides a fascinating picture for criticality near the quantum phase transition, where the excitation energy scales are quantitatively determined. We further confirm our results by tensor network calculations and demonstrate a clear signal of deconfined meson excitations from the disruption of the closed zero curves. Our results unambiguously show significant features of Fisher zeros for a quantum phase transition and open up a new route to explore quantum criticality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_00813 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Signatures of quantum criticality in the complex inverse temperature plane Liu, Yang Lv, Songtai Yang, Yang Zou, Haiyuan Strongly Correlated Electrons Quantum Gases High Energy Physics - Lattice Quantum Physics Concepts of the complex partition functions and the Fisher zeros provide intrinsic statistical mechanisms for finite temperature and real time dynamical phase transitions. We extend the utility of these complexifications to quantum phase transitions. We exactly identify different Fisher zeros on lines or closed curves and elucidate their correspondence with domain-wall excitations or confined mesons for the one-dimensional transverse field Ising model. The crossover behavior of the Fisher zeros provides a fascinating picture for criticality near the quantum phase transition, where the excitation energy scales are quantitatively determined. We further confirm our results by tensor network calculations and demonstrate a clear signal of deconfined meson excitations from the disruption of the closed zero curves. Our results unambiguously show significant features of Fisher zeros for a quantum phase transition and open up a new route to explore quantum criticality. |
| title | Signatures of quantum criticality in the complex inverse temperature plane |
| topic | Strongly Correlated Electrons Quantum Gases High Energy Physics - Lattice Quantum Physics |
| url | https://arxiv.org/abs/2211.00813 |