Thermal Entanglement and Quantum Non-Locality along the Stepwise Magnetization Curve of the Spin-1/2 Ising-Heisenberg Trimerized Chain

• Authors: J. Strečka , J. Pavličko
• Languages of publication: EN

Abstracts

EN

The spin-1/2 Ising-Heisenberg trimerized chain in a magnetic field is revisited with the aim to explore the quantum entanglement and non-locality within the exactly solved spin system, which exhibits in a low-temperature magnetization curve two intermediate plateaux at zero and one-third of the saturation magnetization. The ground-state phase diagram involves two quantum (antiferromagnetic, ferrimagnetic I) and two classical (ferrimagnetic II, saturated paramagnetic) phases. We have rigorously calculated the concurrence and Bell function in order to quantify the quantum entanglement and non-locality at zero as well as non-zero temperatures. It is demonstrated that the entanglement can be thermally induced also above the classical ground states unlike the quantum non-locality, which means that the thermal entanglement is indispensable for a violation of the locality principle.

Keywords

EN

75.10.Pq; 75.10.Jm; 75.40.Cx; 75.60.Ej

Discipline

• 75.60.Ej: Magnetization curves, hysteresis, Barkhausen and related effects(for hysteresis in ferroelectricity, see 77.80.Dj)
• 75.40.Cx: Static properties (order parameter, static susceptibility, heat capacities, critical exponents, etc.)
• 75.10.Pq: Spin chain models
• 75.10.Jm: Quantized spin models, including quantum spin frustration

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2017
• Volume: 132
• Issue: 1
• Pages: 167-169

Dates

published

2017-07

Contributors

author

J. Strečka

• Institute of Physics, Faculty of Science, P.J. Šafárik University, Park Angelinum 9, 041 54 Košice, Slovakia

author

J. Pavličko

• Institute of Physics, Faculty of Science, P.J. Šafárik University, Park Angelinum 9, 041 54 Košice, Slovakia

References

• [1] A. Einstein, B. Podolsky, N. Rosen, Phys. Rev. 47, 777 (1935), doi: 10.1103/PhysRev.47.777
• [2] J.S. Bell, Physica 47, 195 (1964)
• [3] R.F. Werner, Phys. Rev. A 40, 4277 (1989), doi: 10.1103/PhysRevA.40.4277
• [4] L. Justino, T.R. de Oliveira, Phys. Rev. A 85, 052128 (2012), doi: 10.1103/PhysRevA.85.052128
• [5] Y.Z. Sun, L. Li, N. Li, K.L. Yao, J. Liu, B. Luo, G.H. Du, H.N. Li, Euro Phys. Lett. 95, 30008 (2011), doi: 10.1209/0295-5075/95/30008
• [6] B. Wang, H.L. Huang, Z. Sun, S. Kou, Chin. Phys. Lett. 29, 120301 (2012), doi: 10.1088/0256-307X/29/12/120301
• [7] M. Oshikawa, M. Yamanaka, I. Affleck, Phys. Rev. Lett. 78, 1984 (1984), doi: 10.1103/PhysRevLett.78.1984
• [8] J. Strečka, M. Jaščur, J. Phys. Condens. Matter 15, 4519 (2003), doi: 10.1088/0953-8984/15/26/302
• [9] W.K. Wootters, Phys. Rev. Lett. 80, 2245 (1998), doi: 10.1103/PhysRevLett.80.2245
• [10] R. Horodecki, P. Horodecki, M. Horodecki, Phys. Lett. A 200, 340 (1995), doi: 10.1016/0375-9601(95)00214-N
• [11] J.F. Clauser, M.A. Horne, A. Shimony, R.A. Holt, Phys. Rev. Lett. 23, 880 (1969), doi: 10.1103/PhysRevLett.23.880

Identifiers

DOI

10.12693/APhysPolA.132.167