Bound energy, entanglement and identifying critical points in 1D long-range Kitaev model
We investigate the entanglement structure of a bipartite quantum system through the lens of quantum thermodynamics in the absence of conformal symmetry. Specifically, we consider the long-range Kitaev model, where the pairing interaction decays as a power law with exponent α , with broken conformal...
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IOP Publishing
2025-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/adf2d2 |
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| author | Akash Mitra Shashi C L Srivastava |
| author_facet | Akash Mitra Shashi C L Srivastava |
| author_sort | Akash Mitra |
| collection | DOAJ |
| description | We investigate the entanglement structure of a bipartite quantum system through the lens of quantum thermodynamics in the absence of conformal symmetry. Specifically, we consider the long-range Kitaev model, where the pairing interaction decays as a power law with exponent α , with broken conformal symmetry for $\alpha\,\lt\,3/2$ . We analytically show that the bound energy, a quantum thermodynamical quantity, is linearly proportional to the square of entanglement entropy per unit system size for α = 1 where conformal symmetry is broken. We further show that for all values of α , bound energy, in the thermodynamic limit, shows a pronounced minimum at the critical point, which enables the identification of µ = 1. |
| format | Article |
| id | doaj-art-efbbb8e98db5461d895586adef69fbcd |
| institution | Kabale University |
| issn | 1367-2630 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj-art-efbbb8e98db5461d895586adef69fbcd2025-08-20T03:32:08ZengIOP PublishingNew Journal of Physics1367-26302025-01-0127808460110.1088/1367-2630/adf2d2Bound energy, entanglement and identifying critical points in 1D long-range Kitaev modelAkash Mitra0Shashi C L Srivastava1https://orcid.org/0000-0003-2049-5226Variable Energy Cyclotron Centre , 1/AF Bidhannagar, Kolkata 700064, India; Homi Bhabha National Institute , Training School Complex, Anushaktinagar, Mumbai 400094, IndiaVariable Energy Cyclotron Centre , 1/AF Bidhannagar, Kolkata 700064, India; Homi Bhabha National Institute , Training School Complex, Anushaktinagar, Mumbai 400094, IndiaWe investigate the entanglement structure of a bipartite quantum system through the lens of quantum thermodynamics in the absence of conformal symmetry. Specifically, we consider the long-range Kitaev model, where the pairing interaction decays as a power law with exponent α , with broken conformal symmetry for $\alpha\,\lt\,3/2$ . We analytically show that the bound energy, a quantum thermodynamical quantity, is linearly proportional to the square of entanglement entropy per unit system size for α = 1 where conformal symmetry is broken. We further show that for all values of α , bound energy, in the thermodynamic limit, shows a pronounced minimum at the critical point, which enables the identification of µ = 1.https://doi.org/10.1088/1367-2630/adf2d2nonequilibrium statistical mechanicsquantum thermodynamicsquantum criticalityquantum entanglementlong-range Kitaev model |
| spellingShingle | Akash Mitra Shashi C L Srivastava Bound energy, entanglement and identifying critical points in 1D long-range Kitaev model New Journal of Physics nonequilibrium statistical mechanics quantum thermodynamics quantum criticality quantum entanglement long-range Kitaev model |
| title | Bound energy, entanglement and identifying critical points in 1D long-range Kitaev model |
| title_full | Bound energy, entanglement and identifying critical points in 1D long-range Kitaev model |
| title_fullStr | Bound energy, entanglement and identifying critical points in 1D long-range Kitaev model |
| title_full_unstemmed | Bound energy, entanglement and identifying critical points in 1D long-range Kitaev model |
| title_short | Bound energy, entanglement and identifying critical points in 1D long-range Kitaev model |
| title_sort | bound energy entanglement and identifying critical points in 1d long range kitaev model |
| topic | nonequilibrium statistical mechanics quantum thermodynamics quantum criticality quantum entanglement long-range Kitaev model |
| url | https://doi.org/10.1088/1367-2630/adf2d2 |
| work_keys_str_mv | AT akashmitra boundenergyentanglementandidentifyingcriticalpointsin1dlongrangekitaevmodel AT shashiclsrivastava boundenergyentanglementandidentifyingcriticalpointsin1dlongrangekitaevmodel |