درهم‌تنیدگی و فشردگی در حالت پایه در یک شبکة مربعی اسپینی در حضور میدان مغناطیسی

عنوان مقاله [English]

Entanglement and squeezing of two-dimensional spin square lattice in ground state in a magnetic field

نویسندگان [English]

• Noushin Zalaki Ghorbanpour ¹
• Abbaas Sabour ²
• Fereydoon Khazali ¹
• Soghra GHanavati ³

¹ Department of Chemistry, Omidiyeh Branch, Islamic Azad University, Omidiyeh, Iran.

² Department of Physics, Omidiyeh Branch, Islamic Azad University, Omidiyeh, Iran.

³ Department of Physic, Omidiyeh Branch, Islamic Azad University, Omidiyeh, Iran.

کلیدواژه‌ها [English]

• Spin squeezing
• Kitagawa parameter
• Entanglement
• LE measure
• Square system

[1] J. Ren, W.L. You, X. Wang, Entanglement and correlations in a one-dimensional quantum spin-12 chain with anisotropic power-law long-range interactions, Physical Review B 101 (2020) 094410. https://doi.org/10.1103/PhysRevB.101.094410

[2] G. Li, W. Nie, X. Li, A. Chen, Dynamics of ground-state cooling and quantum entanglement in a modulated optomechanical system, Physical Review A 100 (2019) 063805. https://doi.org/10.1103/PhysRevA.100.063805

[3] A. Deger, T-C. Wei, Geometric entanglement and quantum phase transition in
generalized cluster-XY models, Quantum Information Processing 18 (2019) 326. https://doi.org/10.1007/s11128-019-2439-7

[4] A. Anshu, I. Arad, D. Gosse, An Area Law for 2D Frustration-Free Spin systems,  Proceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing (2022).

[5] O. Guehne, G. Toth, Entanglement detection, Phys. Report. 474 (2009) 1. https://doi.org/10.1016/j.physrep.2009.02.004

[6] K.S. Akhilesh, B.G. Divyamani, A.R. Usha Devi, Spin squeezing in symmetric multi qubit states with two non-orthogonal Majorana spinors, Quantum Information 18 (2019) 144. https://doi.org/10.1007/s11128-019-2244-3

[7] L.G. Huang, F. Chen, X. Li, Y. Li, R. Lü, Y. C. Liu, Dynamic synthesis of Heisenberg-limited spin squeezing, npj quantum information 7 (2021) 168. https://doi.org/10.1038/s41534-021-00505-z

[8] MS. Rudner, LMK Vandersypen, V. Vuletić, LS. Levitov, Generating Entanglement and Squeezed States of Nuclear Spins in Quantum Dots, Physical Review Letters 107 (2011) 206806. https://doi.org/10.1103/PhysRevLett.107.206806

[9] A. Sorensen, L. Duan, J. Cirac, P. Zoller, Many-particle entanglement with Bose-Einstein condensates, Nature 409 (2001) 63. https://doi.org/10.1038/35051038

[10] N. Bigelow, Quantum engineering - Squeezing entanglement, Nature 409 (2001) 27. https://doi.org/10.1038/35051193

[11] E.S. Polzik, Quantum physics - The squeeze goes on, Nature 453 (2008) 45. https://doi.org/10.1038/453045a

[12] A.D. Cronin, J. Schmiedmayer, D.E. Pritchard, Optics and interferometry with atoms and molecules, Reviews of Modern Physics 81 (2009) 1051. https://doi.org/10.1103/RevModPhys.81.1051

 [13] I. Buluta, F. Nori, Quantum simulators, Science 326 (2009) 108. https://doi.org/10.1126/science.1177838

[14] M. Kitagawa, M. Ueda, Squeezed spin states, Physical Review A 47 (1993) 5138-5143 https://doi.org/10.1103/PhysRevA.47.5138

[15] D. Ulam-Orgikh, M. Kitagawa, Spin squeezing and decoherence limit in Ramsey spectroscopy, Physical Review A 64 (2001) 052106. https://doi.org/10.1103/PhysRevA.64.052106

[16] W.K. Wootters, Entanglement of formation of an arbitrary state of two qubits, Physical Review Letters 80 (1998) 2245. https://doi.org/10.1103/PhysRevLett.80.2245

[17] D.A. Meyer, N.R. Wallach, Global entanglement in multiparticle systems, Journal of Mathematical Physics 43 (2002) 4273. https://doi.org/10.1063/1.1497700

[18] A.J. Scott, Multipartite entanglement quantum-error-correcting codes and entangling power of quantum evolutions, Physical Review A 69 (2004) 052330. https://doi.org/10.1103/PhysRevA.69.052330

[19] F. Verstraete, J. Dehaene, B.D. Moor, Normal forms and entanglement measures for multipartite quantum states, Physical Review A 68 (2003) 012103. https://doi.org/10.1103/PhysRevA.68.012103

[20] T.C. Wei, P.M. Goldbart, Geometric measure of entanglement and applications to bipartite and multipartite quantum states, Physical Review A 68 (2003) 042307. https://doi.org/10.1103/PhysRevA.68.042307

[21] L. Amico, R. Fazio, A. Osterloh, V. Vedral, Entanglement in many-body systems, Reviews of modern physics 80 (2008) 517. https://doi.org/10.1103/RevModPhys.80.517

[22] P.A.M. Dirac, Note on exchange phenomena in the Thomas atom, In Mathematical proceedings of the Cambridge philosophical society, Cambridge University Press Cambridge, (1930).

[23] M. Popp, F. Verstraete, M.A.M. Delgado, J.I. Cirac, Localizable entanglement, Physical Review A 71 (2005) 042306. https://doi.org/10.1103/PhysRevA.71.042306

[24] A. Sabour, M. Jafarpour, A probability measure for entanglement of pure two-qubit systems and a useful interpretation for concurrence, Chinese Physics Letters 28 (2011) 070301. https://doi.org/10.1088/0256-307X/28/7/070301

[25] A.C. Rencher, W.F. Christensen, Methods of Multivariate Analysis, John Wiley, New York (2012).

[26] J. Ma, X. Wang, C.P. Sun, F. Nori, Quantum spin squeezing, Physics Reports 509 (2011) 89-165. https://doi.org/10.1016/j.physrep.2011.08.003