原子系综在二次方相互作用演化下多体纠缠特性

doi:10.3976/j.issn.1002-4026.2022.02.015

Abstract

Abstract:

In this paper, the average quantum Fisher information was used to measure the entanglement characteristics of the system under the quadratic interaction. In addition, we considered the characteristics of the multi-body entanglement evolution of the system after adding the linear interaction term. The results showed that the multi-body entanglement of the spin system remains longer under the combined action of linear and nonlinear interactions. Moreover, we considered the entanglement process of the system under the influence of noise and found that the atomic system has a high degree of entanglement even in the presence of noise. This is extremely important for the application of quantum multi-body entanglement in quantum precision measurements and quantum communications.

Key words: spin squeezing, multi-body entanglement, average quantum Fisher information, one-axis twisting, quadratic interaction

CLC Number:

WANG Ya-ni, WANG Ming-feng. Multi-body entanglement characteristics of atomic ensemble under quadratic interaction evolution[J].Shandong Science, 2022, 35(2): 124-130.

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References 28

[1]	BOUWMEESTER D, ZEILINGER A. The physics of quantum information: basic concepts[M]. Berlin, Heidelberg:Springer, 2000: 1-14. DOI: 10.1007/978-3-662-04209-0_1. doi: 10.1007/978-3-662-04209-0_1
[2]	HORODECKI R, HORODECKI P, HORODECKI M, et al. Quantum entanglement[J]. Reviews of Modern Physics, 2009, 81(2): 865-942. DOI: 10.1103/revmodphys.81.865. doi: 10.1103/revmodphys.81.865
[3]	KNILL E. Quantum computing with realistically noisy devices[J]. Nature, 2005, 434: 39-44. DOI: 10.1038/nature03350. doi: 10.1038/nature03350
[4]	BRAUNSTEIN S L, KIMBLE H J. Teleportation of continuous quantum variables[J]. Physical Review Letters, 1998, 80(4): 869-872. DOI: 10.1103/physrevlett.80.869. doi: 10.1103/physrevlett.80.869
[5]	BENNETT C H, WIESNER S J. Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states[J]. Physical Review Letters, 1992, 69(20): 2881-2884. DOI: 10.1103/physrevlett.69.2881. doi: 10.1103/physrevlett.69.2881
[6]	BEIGE A, ENGLERT B G, KURTSIEFER C, et al. Secure communication with a publicly known key[J]. Acta Physica Polonica A, 2002, 101(3): 357-368. DOI: 10.12693/aphyspola.101.357. doi: 10.12693/aphyspola.101.357
[7]	MAEZAWA M, FUJII G, HIDAKA M, et al. Toward practical-scale quantum annealing machine for prime factoring[J]. Journal of the Physical Society of Japan, 2019, 88(6): 061012. DOI: 10.7566/jpsj.88.061012. doi: 10.7566/jpsj.88.061012
[8]	GROVER L K. A fast quantum mechanical algorithm for database search[C]//Proceedings of the twenty-eighth annual ACM symposium on Theory of computing - STOC '96. New York: ACM Press, 1996: 212-219. DOI: 10.1145/237814.237866. doi: 10.1145/237814.237866
[9]	PIRANDOLA S, EISERT J, WEEDBROOK C, et al. Advances in quantum teleportation[J]. Nature Photonics, 2015, 9(10): 641-652. DOI: 10.1038/nphoton.2015.154. doi: 10.1038/nphoton.2015.154
[10]	HERBST T, MA X, SCHEIDL T, et al. Quantum teleportation over a 143 km free-space link [C]//Proc SPIE 10563, International Conference on Space Optics — ICSO. 2014, 1056: 242-248. DOI: 10.1117/12.2304089. doi: 10.1117/12.2304089
[11]	GISIN N, THEW R. Quantum communication[J]. Nature Photonics, 2007, 1(3): 165-171. DOI: 10.1038/nphoton.2007.22. doi: 10.1038/nphoton.2007.22
[12]	URSIN R, TIEFENBACHER F, SCHMITT-MANDERBACH T, et al. Entanglement-based quantum communication over 144 km[J]. Nature Physics, 2007, 3(7): 481-486. DOI: 10.1038/nphys629. doi: 10.1038/nphys629
[13]	LORD S. Uncloneable quantum encryption via random oracles[D]. Ottawa:University of Ottawa, 2019.
[14]	YANG L, WU C M, XIE H Q. Mutual authenticated quantum no-key encryption scheme over private quantum channel[J]. Science China Information Sciences, 2017, 61(2): 1-8. DOI: 10.1007/s11432-017-9180-2. doi: 10.1007/s11432-017-9180-2
[15]	AMICO L, FAZIO R, OSTERLOH A, et al. Entanglement in many-body systems[J]. Reviews of Modern Physics, 2008, 80(2): 517-576. DOI: 10.1103/revmodphys.80.517. doi: 10.1103/revmodphys.80.517
[16]	VIDAL J, PALACIOS G, MOSSERI R. Entanglement in a second-order quantum phase transition[J]. Physical Review A, 2004, 69(2): 022107. DOI: 10.1103/physreva.69.022107. doi: 10.1103/physreva.69.022107
[17]	DUSUEL S, VIDAL J. Finite-size scaling exponents of the Lipkin-Meshkov-Glick model[J]. Physical Review Letters, 2004, 93(23): 237204. DOI: 10.1103/PhysRevLett.93.237204. doi: 10.1103/PhysRevLett.93.237204
[18]	MA J, WANG X G. Fisher information and spin squeezing in the Lipkin-Meshkov-Glick model[J]. Physical Review A, 2009, 80: 012318. DOI: 10.1103/physreva.80.012318. doi: 10.1103/physreva.80.012318
[19]	SALVATORI G, MANDARINO A, PARIS M G A. Quantum metrology in Lipkin-Meshkov-Glick critical systems[J]. Physical Review A, 2014, 90(2): 022111. DOI: 10.1103/physreva.90.022111. doi: 10.1103/physreva.90.022111
[20]	ZHANG Y, CHUNG K T. Even-parity triply excited states of lithium[J]. Physical Review A, 1998, 58(2): 1098-1102. DOI: 10.1103/physreva.58.1098. doi: 10.1103/physreva.58.1098
[21]	KITAGAWA, UEDA. Squeezed spin states[J]. Physical Review A, Atomic, Molecular, and Optical Physics, 1993, 47(6): 5138-5143. DOI: 10.1103/physreva.47.5138. doi: 10.1103/physreva.47.5138
[22]	SØRENSEN A S, MØLMER K. Entangling atoms in bad cavities[J]. Physical Review A, 2002, 66(2): 022314. DOI: 10.1103/physreva.66.022314. doi: 10.1103/physreva.66.022314
[23]	SUN H Y, HUANG X L, XI Y X. Dynamical evolution and entanglement in a nonlinear interacting system[J]. Chinese Physics Letters, 2009, 26(2): 020305. DOI: 10.1088/0256-307x/26/2/020305. doi: 10.1088/0256-307x/26/2/020305
[24]	LIU G, WANG Y N, YAN L F, et al. Spin squeezing via one- and two-axis twisting induced by a single off-resonance stimulated Raman scattering in a cavity[J]. Physical Review A, 2019, 99(4): 043840. DOI: 10.1103/physreva.99.043840. doi: 10.1103/physreva.99.043840
[25]	LEE T E, REITER F, MOISEYEV N. Entanglement and spin squeezing in non-Hermitian phase transitions[J]. Physical Review Letters, 2014, 113(25): 250401. DOI: 10.1103/PhysRevLett.113.250401. doi: 10.1103/PhysRevLett.113.250401
[26]	HYLLUS P, LASKOWSKI W, KRISCHEK R, et al. Fisher information and multiparticle entanglement[J]. Physical Review A, 2012, 85(2): 022321. DOI: 10.1103/physreva.85.022321. doi: 10.1103/physreva.85.022321
[27]	TÓTH G. Multipartite entanglement and high-precision metrology[J]. Physical Review A, 2012, 85(2): 022322. DOI: 10.1103/physreva.85.022322. doi: 10.1103/physreva.85.022322
[28]	HOU T J. Quantum Fisher information and spin squeezing of the non-Hermitian one-axis twisting model and the effect of dephasing[J]. Physical Review A, 2017, 95: 013824. DOI: 10.1103/physreva.95.013824. doi: 10.1103/physreva.95.013824

Multi-body entanglement characteristics of atomic ensemble under quadratic interaction evolution

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