Probing Yang–Lee edge singularity by central spin decoherence
Yang–Lee edge singularities are the branch point of free energy on the complex plane of physical parameters and have been shown to be the simplest universality class of phase transitions. However, Yang–Lee edge singularities have not been regarded as experimentally observable since they occur at com...
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| Format: | Article |
| Language: | English |
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IOP Publishing
2017-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/aa77d6 |
| _version_ | 1797750625416511488 |
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| author | Bo-Bo Wei |
| author_facet | Bo-Bo Wei |
| author_sort | Bo-Bo Wei |
| collection | DOAJ |
| description | Yang–Lee edge singularities are the branch point of free energy on the complex plane of physical parameters and have been shown to be the simplest universality class of phase transitions. However, Yang–Lee edge singularities have not been regarded as experimentally observable since they occur at complex physical parameters which are unphysical. A recent discovery regarding the relation between partition functions and probe spin coherence makes it experimentally feasible to access the complex plane of physical parameters. However, how to extract the critical point and the critical exponent of Yang–Lee edge singularities in many-body systems, which occurs only at the thermodynamic limit, has still been elusive. Here we show that the quantum coherence of a probe spin coupled to finite-size Ising-type spin systems presents universal scaling behavior near the Yang–Lee edge singularity. The finite-size scaling behavior of the quantum coherence of the probe spin predicts that one can extract the critical point and the critical exponent of the Yang–Lee edge singularity of an Ising-type spin system in the thermodynamic limit from the spin coherence measurement of the probe spin coupled to finite-size Ising-type spin systems. This finding provides a practical approach to studying the nature of Yang–Lee edge singularities of many-body systems. |
| first_indexed | 2024-03-12T16:35:34Z |
| format | Article |
| id | doaj.art-791513b449bd4c49944f52c34fd6a46a |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:35:34Z |
| publishDate | 2017-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-791513b449bd4c49944f52c34fd6a46a2023-08-08T14:53:06ZengIOP PublishingNew Journal of Physics1367-26302017-01-0119808300910.1088/1367-2630/aa77d6Probing Yang–Lee edge singularity by central spin decoherenceBo-Bo Wei0School of Physics and Energy, Shenzhen University , Shenzhen 518060, People's Republic of ChinaYang–Lee edge singularities are the branch point of free energy on the complex plane of physical parameters and have been shown to be the simplest universality class of phase transitions. However, Yang–Lee edge singularities have not been regarded as experimentally observable since they occur at complex physical parameters which are unphysical. A recent discovery regarding the relation between partition functions and probe spin coherence makes it experimentally feasible to access the complex plane of physical parameters. However, how to extract the critical point and the critical exponent of Yang–Lee edge singularities in many-body systems, which occurs only at the thermodynamic limit, has still been elusive. Here we show that the quantum coherence of a probe spin coupled to finite-size Ising-type spin systems presents universal scaling behavior near the Yang–Lee edge singularity. The finite-size scaling behavior of the quantum coherence of the probe spin predicts that one can extract the critical point and the critical exponent of the Yang–Lee edge singularity of an Ising-type spin system in the thermodynamic limit from the spin coherence measurement of the probe spin coupled to finite-size Ising-type spin systems. This finding provides a practical approach to studying the nature of Yang–Lee edge singularities of many-body systems.https://doi.org/10.1088/1367-2630/aa77d6Yang–Lee edge singularityspin decoherenceLee–Yang zeros64.60.Bd64.60.De05.50.+q |
| spellingShingle | Bo-Bo Wei Probing Yang–Lee edge singularity by central spin decoherence New Journal of Physics Yang–Lee edge singularity spin decoherence Lee–Yang zeros 64.60.Bd 64.60.De 05.50.+q |
| title | Probing Yang–Lee edge singularity by central spin decoherence |
| title_full | Probing Yang–Lee edge singularity by central spin decoherence |
| title_fullStr | Probing Yang–Lee edge singularity by central spin decoherence |
| title_full_unstemmed | Probing Yang–Lee edge singularity by central spin decoherence |
| title_short | Probing Yang–Lee edge singularity by central spin decoherence |
| title_sort | probing yang lee edge singularity by central spin decoherence |
| topic | Yang–Lee edge singularity spin decoherence Lee–Yang zeros 64.60.Bd 64.60.De 05.50.+q |
| url | https://doi.org/10.1088/1367-2630/aa77d6 |
| work_keys_str_mv | AT bobowei probingyangleeedgesingularitybycentralspindecoherence |