Fermionic Concurrence in the Extended Hubbard Model

Deng, Shusa; Gu, Shi-Jian

doi:10.1088/0256-307x/22/4/007

Cited by 21 publications

(8 citation statements)

References 26 publications

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“…It is noteworthy that the more general formula (31) for the fermionic concurrence reduces to the simpler formula reported previously by Deng and Gu [58] when considering the particular case n i1,↑ = n i2,↑ = 1/2.…”

Section: B Fermionic Entanglementmentioning

confidence: 57%

“…which depends on the statistical mean values c † i1,↑ c i2,↑ , n i1,↑ and n i1,↑ n i2,↑ explicitly given in Appendix B. It is noteworthy that the more general formula (31) for the fermionic concurrence reduces to the simpler formula reported previously by Deng and Gu [58] when considering the particular case n i1,↑ = n i2,↑ = 1/2.…”

Section: B Fermionic Entanglementmentioning

confidence: 79%

“…Because the entanglement of formation (25) is a monotonous function of the concurrence C, one may directly use the concurrence as a measure of quantum entanglement ranging from 0 (no entanglement) up to 1 (maximum entanglement) [22,23]. In the present model, we will quantify the quantum entanglement in the sub-space of up spins in a given plaquette [58]. Therefore, in the local basis |0, 0 , |0, ↑ , |↑, 0 and |↑, ↑ , the reduced density matrix can be written in the general form…”

Section: B Fermionic Entanglementmentioning

confidence: 99%

“…In the present model, we will quantify the quantum entanglement in the sub-space of up spins in a given plaquette [58]. Therefore, in the local basis |0, 0 , |0, ↑ , |↑, 0 and |↑, ↑ , the reduced density matrix can be written in the general form…”

Section: B Fermionic Entanglementmentioning

confidence: 99%

“…Following the procedure elaborated previously in Ref. [58], one arrives to the following explicit form of the eigenvalues:…”

Section: B Fermionic Entanglementmentioning

confidence: 99%

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Spin frustration and fermionic entanglement in an exactly solved hybrid diamond chain with localized Ising spins and mobile electrons

et al. 2016

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The strongly correlated spin-electron system on a diamond chain containing localized Ising spins on its nodal lattice sites and mobile electrons on its interstitial sites is exactly solved in a magnetic field using the transfer-matrix method. We have investigated in detail all available ground states, the magnetization processes, the spin-spin correlation functions around an elementary plaquette, fermionic quantum concurrence and spin frustration. It is shown that the fermionic entanglement between mobile electrons hopping on interstitial sites and the kinetically-induced spin frustration are closely related yet independent phenomena. In the ground state, quantum entanglement only appears within a frustrated unsaturated paramagnetic phase, while thermal fluctuations can promote some degree of quantum entanglement above the non-frustrated ground states with saturated paramagnetic or classical ferrimagnetic spin arrangements.

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Section: B Fermionic Entanglementmentioning

confidence: 57%

Section: B Fermionic Entanglementmentioning

confidence: 79%

Section: B Fermionic Entanglementmentioning

confidence: 99%

Section: B Fermionic Entanglementmentioning

confidence: 99%

“…Following the procedure elaborated previously in Ref. [58], one arrives to the following explicit form of the eigenvalues:…”

Section: B Fermionic Entanglementmentioning

confidence: 99%

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Spin frustration and fermionic entanglement in an exactly solved hybrid diamond chain with localized Ising spins and mobile electrons

et al. 2016

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Quantum entanglement in an extended Hubbard model as evaluated from a spin concurrence measure

Schiavo¹,

Cipriani²,

Riso³

et al. 2023

Journal of Magnetism and Magnetic Materials

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Thermal entanglement of Hubbard dimers in the nonextensive statistics

Hasegawa¹

2011

Physica A: Statistical Mechanics and its Applications

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The thermal entanglement of the Hubbard dimer (two-site Hubbard model) has been studied with the nonextensive statistics. We have calculated the auto-correlation ($O_q$), pair correlation ($L_q$), concurrence ($\Gamma_q$) and conditional entropy ($R_q$) as functions of entropic index $q$ and the temperature $T$. The thermal entanglement is shown to considerably depend on the entropic index. For $q < 1.0$, the threshold temperature where $\Gamma_q$ vanishes or $R_q$ changes its sign is more increased and the entanglement may survive at higher temperatures than for $q=1.0$. Relations among $L_q$, $\Gamma_q$ and $R_q$ are investigated. The physical meaning of the entropic index $q$ is discussed with the microcanonical and superstatistical approaches. The nonextensive statistics is applied also to Heisenberg dimers.Comment: 28 pages, 6 figures; the final version accepted in Physica

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Fermionic Concurrence in the Extended Hubbard Model

Cited by 21 publications

References 26 publications

Spin frustration and fermionic entanglement in an exactly solved hybrid diamond chain with localized Ising spins and mobile electrons

Spin frustration and fermionic entanglement in an exactly solved hybrid diamond chain with localized Ising spins and mobile electrons

Quantum entanglement in an extended Hubbard model as evaluated from a spin concurrence measure

Thermal entanglement of Hubbard dimers in the nonextensive statistics

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