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Optical and Quantum Electronics
Published in: Optical and Quantum Electronics 14/2023

01-12-2023

Entanglement, quantum coherence and quantum Fisher information of two qubit-field systems in the framework of photon-excited coherent states

Authors: S. Abdel-Khalek, M. Algarni, Marin Marin, K. Berrada

Published in: Optical and Quantum Electronics | Issue 14/2023

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Abstract

Based on coherent state theory, the photon-excited coherent states associated with pseudo-harmonic oscillators (PE-CSPHOs) are considered to investigate the interaction between a system of two qubits (two-level atoms) and a radiation field. By considering the dipole–dipole Hamiltonian and Ising Hamiltonian, we solve the Schrödinger equation to examine the influence of the qubit-qubit interaction (Q–QI) on the dynamics of the Q–Q entanglement and the entanglement between the two qubits and field. Furthermore, we study the dynamics of norm coherence and Fisher information, based on symmetric logarithmic derivative, with respect to the physical parameters of the system and explore the relation among the quantifiers during quantum dynamics.
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Appendix
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Literature
Abdel-Khalek, S.: Quantum Fisher information flow and entanglement in pair coherent states. Opt. Quant. Electron. 46, 1055–1064 (2014)
Abdel-Khalek, S., Berrada, K., Obada, A.-S.F.: Quantum Fisher information for a single qubit system. Eur. Phys. J. D 66, 1–6 (2012)MATH
Abdel-Khalek, S., Berrada, K., Alkaoud, A.: Nonlocality and coherence in double quantum dot systems. Physica E 130, 114679 (2021)
Abouelregal, A.E., Marin, M.: The response of nanobeams with temperature-dependent properties using state-space method via modified couple stress theory. Symmetry 12, 1276 (2020)ADS
Agarwal, G.S., Tara, K.: Nonclassical properties of states generated by the excitations on a coherent state. Phys. Rev. A 43, 492 (1991)ADS
Agarwal, G.S., Tara, K.: Nonclassical character of states exhibiting no squeezing or sub-Poissonian statistics. Phys. Rev. A 46, 485 (1992)ADS
Algarni, M., Berrada, K., Abdel-Khalek, S., Eleuch, H.: Coherence trapping in open two-qubit dynamics. Symmetry 13, 2445 (2021a)ADS
Algarni, M., Berrada, K., Abdel-Khalek, S., Eleuch, H.: Quantum coherence of atoms with dipole–dipole interaction and collective damping in the presence of an optical field. Symmetry 13, 2327 (2021b)ADS
Algarni, M., Berrada, K., Abdel-Khalek, S., Eleuch, H.: Parity deformed Tavis–Cummings model: entanglement, parameter estimation and statistical properties. Mathematics 10, 3051 (2022)
Altowyan, A.S., Berrada, K., Abdel-Khalek, S., Eleuch, H.: Quantum coherence and total phase in semiconductor microcavities for multi-photon excitation. Nanomaterials 12, 2671 (2022)
Amaro, J.G., Pineda, C.: Multipartite entanglement dynamics in a cavity. Phys. Scr. 90, 068019 (2014)ADS
Baumgratz, T., Cramer, M., Plenio, M.B.: Quantifying coherence. Phys. Rev. Lett. 113, 140401 (2014)ADS
Beckey, J.L., Gigena, N., Coles, P.J., Cerezo, M.: Computable and operationally meaningful multipartite entanglement measures. Phys. Rev. Lett. 127, 140501 (2021)MathSciNetADS
Bellini, M., Coelho, A.S., Filippov, S.N., Man’ko, V.I., Zavatta, A.: Towards higher precision and operational use of optical homodyne tomograms. Phys Rev A 85, 052129 (2012)ADS
Benabdallah, F., Rahman, A.U., Haddadi, S., Daoud, M.: Long-time protection of thermal correlations in a hybrid-spin system under random telegraph noise. Phys. Rev. E 106(3), 034122 (2022)ADS
Bennett, C.H., DiVincenzo, D.P., Smolin, J.A., Wootters, W.K.: Mixed-state entanglement and quantum error correction. Phys. Rev. A 54, 3824 (1996)MathSciNetMATHADS
Bera, M.N., Qureshi, T., Siddiqui, M.A., Pati, A.K.: Duality of quantum coherence and path distinguishability. Phys. Rev. A 92, 012118 (2015)ADS
Berrada, K.: Quantum metrology with SU (1, 1) coherent states in the presence of nonlinear phase shifts. Phys. Rev. A 88, 013817 (2013)ADS
Berrada, K., Eleuch, H.: Noncommutative deformed cat states under decoherence. Phys. Rev. D 100, 016020 (2019)MathSciNetADS
Berrada, K., Abdel-Khalek, S., Ooi, C.H.R.: Quantum metrology with entangled spin-coherent states of two modes. Phys. Rev. A 86, 033823 (2012)ADS
Braunstein, S.L., Caves, C.M.: Statistical distance and the geometry of quantum states. Phys. Rev. Lett. 72, 3439 (1994)MathSciNetMATHADS
Bužek, V., Derka, R., Massar, S.: Optimal quantum clocks. Phys. Rev. Lett. 82, 2207 (1999)ADS
Chitambar, E., Gour, G.: Critical examination of incoherent operations and a physically consistent resource theory of quantum coherence. Phys. Rev. Lett. 117, 030401 (2016)ADS
Cocchiarella, D., et al.: Entanglement distance for arbitrary m-qudit hybrid systems. Phys. Rev. A 101, 042129 (2020)MathSciNetADS
Cusati, T., Napoli, A., Messina, A.: Competition between inter-and intra-molecular energy exchanges in a simple quantum model of a dimer. J. Mol. Struct. (Thoechem) 769, 3–8 (2006)
Dehghani, A., Mojaveri, B., Amiri, F.S.: Photon added coherent states of the parity deformed oscillator. Mod. Phys. Lett. A 34, 1950104 (2019)MathSciNetMATHADS
Dodonov, V.V., Marchiolli, M.A., Korennoy, Y.A., Man’Ko, V.I., Moukhin, Y.A.: Dynamical squeezing of photon-added coherent states. Phys. Rev. A 58, 4087 (1998)ADS
Friis, N., Vitagliano, G., Malik, M., Huber, M.: Entanglement certification from theory to experiment. Nat. Rev. Phys. 1, 72–87 (2019)
Giovannetti, V., Mancini, S., Vitali, D., Tombesi, P.: Characterizing the entanglement of bipartite quantum systems. Phys. Rev. A 67, 022320 (2003)ADS
Giovannetti, V., Lloyd, S., Maccone, L.: Advances in quantum metrology. Nat. Photonics 5, 222–229 (2011)ADS
Guo, J.-L., Song, H.-S.: Entanglement between two Tavis–Cummings atoms with phase decoherence. J. Mod. Opt. 56, 496–501 (2009)MATHADS
Hartmann, M.J., Brandao, G.S.L., Plenio, M.B.: Effective spin systems in coupled microcavities. Phys. Rev. Lett. 99, 160501 (2007)ADS
Helstrom, C.W.: Quantum Detection and Estimation Theory. Academic Press, New York (1976)MATH
Horodecki, R., Horodecki, P., Horodecki, M., Horodecki, K.: Quantum entanglement. Rev. Mod. Phys. 81, 865 (2009)MathSciNetMATHADS
Huber, S., Konig, R., Vershynina, A.: Geometric inequalities from phase space translations. J. Math. Phys. 58, 012206 (2017)MathSciNetMATHADS
Hyllus, P., Laskowski, W., Krischek, R., Schwemmer, C., Wieczorek, W., Weinfurter, H., Pezzé, L., Smerzi, A.: Fisher information and multiparticle entanglement. Phys. Rev. A 85, 022321 (2012)ADS
Kim, J.S.: Entanglement of formation and monogamy of multi-party quantum entanglement. Sci. Rep. 11, 2364 (2021)ADS
Len, Y.L., Gefen, T., Retzker, A., Kołodyński, J.: Quantum metrology with imperfect measurements. Nat. Commun. 13, 6971 (2022)ADS
Levi, F., Mintert, F.: A quantitative theory of coherent delocalization. New J. Phys. 16, 033007 (2014)MATHADS
Li, N., Luo, S.: Entanglement detection via quantum Fisher information. Phys. Rev. A 88, 014301 (2013)ADS
Liu, J., Jing, X., Wang, X.: Phase-matching condition for enhancement of phase sensitivity in quantum metrology. Phys. Rev. A 88, 042316 (2013)ADS
Liu, P., Wang, P., Yang, W., Jin, G.R., Sun, C.P.: Fisher information of a squeezed-state interferometer with a finite photon-number resolution. Phys. Rev. A 95, 023824 (2017)ADS
López, C.E., Lastra, F., Romero, G., Retamal, J.C.: Entanglement properties in the inhomogeneous Tavis–Cummings model. Phys. Rev. A 75, 022107 (2007)MathSciNetADS
Lucien, J.B.: Measurement of gravity at sea and in the air. Rev. Geophys. 5, 477–526 (1967)ADS
Monda, D., Datta, C., Sazim, S.: Quantum coherence sets the quantum speed limit for mixed states. Phys. Lett. A 380, 689–695 (2016)MathSciNetMATHADS
Mortezapour, A., Naeimi, G., Franco, R.L.: Coherence and entanglement dynamics of vibrating qubits. Opt. Commun. 424, 26–31 (2018)ADS
Napoli, A., Messina, A., Cusati, T., Draganescu, G.: Quantum signatures in the dynamics of two dipole–dipole interacting soft dimers. Eur. Phys. J. B 50, 419–423 (2006)ADS
Nezami, S., Walter, M.: Multipartite entanglement in stabilizer tensor networks. Phys. Rev. Lett. 125, 241602 (2020)MathSciNetADS
Orszag, M., Hernandez, M.: Coherence and entanglement in a two-qubit system. Adv. Opt. Photonics 2, 229–286 (2010)ADS
Popov, D.: Photon-added Barut–Girardello coherent states of the pseudoharmonic oscillator. J. Phys. A Math. Gen. 35, 7205 (2002)MathSciNetMATHADS
Popov, D., Pop, N., Sajfert, V.: Excitation on the coherent states of pseudoharmonic oscillator. AIP Conf. Proc. 1131, 61–66 (2009)ADS
Porras, D., Cirac, J.I.: Effective quantum spin systems with trapped ions. Phys. Rev. Lett. 92, 207901 (2004)ADS
Rahman, A.U., Abd-Rabbou, M.Y., Haddadi, S., Ali, H.: Two-qubit steerability, nonlocality, and average steered coherence under classical dephasing channels. Ann. Phys. 535, 2200523 (2023)
Rahman, A.U., Ali, H., Haddadi, S., Zangi, S.M.: Generating non-classical correlations in two-level atoms. Alex. Eng. J. 67, 425–436 (2023b)
Rana, S., Parashar, P., Lewenstein, M.: Trace-distance measure of coherence. Phys. Rev. A 93, 012110 (2016)MathSciNetADS
Safaeian, O., Tavassoly, M.K.: Deformed photon-added nonlinear coherent states and their non-classical properties. J Phys A 44, 225301 (2011)MathSciNetMATHADS
Schrödinger, E.: Der stetige Übergang von der Mikro-zur Makromechanik. Naturwissenschaften 14, 664–666 (1926)MATHADS
Shao, L.H., Xi, Z.J., Fan, H., Li, Y.M.: Fidelity and trace-norm distances for quantifying coherence. Phys. Rev. A 91, 042120 (2015)ADS
Sixderniers, J.-M., Penson, K.A.: On the completeness of photon-added coherent states. J. Phys. A Math. Gen. 34, 2859 (2001)MathSciNetMATHADS
Sorensen, A., Molmer, K.: Spin-spin interaction and spin squeezing in an optical lattice. Phys. Rev. Lett. 83, 2274 (1999)ADS
Sperling, J., Walmsley, I.A.: Entanglement in macroscopic systems. Phys. Rev. A 95, 062116 (2017)ADS
Streltsov, A., Adesso, G., Plenio, M.B.: Colloquium: quantum coherence as a resource. Rev. Mod. Phys. 89, 041003 (2017)MathSciNetADS
Tessier, T.E., Deutsch, I.H., Delgado, A., Fuentes-Guridi, I.: Entanglement sharing in the two-atom Tavis–Cummings model. Phys. Rev. A 68, 062316 (2003)ADS
Torres, J.M., Sadurni, E., Seligman, T.H.: Two interacting atoms in a cavity: exact solutions, entanglement and decoherence. J. Phys. A Math. Theor. 43, 192002 (2010)MathSciNetMATHADS
Torres, J.M., Bernad, J.Z., Alber, G.: Unambiguous atomic Bell measurement assisted by multiphoton states. Appl. Phys. B 122, 1–11 (2016)
Tóth, G.: Multipartite entanglement and high-precision metrology. Phys. Rev. A 85, 022322 (2012)ADS
Vedral, V., Plenio, M.B., Rippin, M.A., Knight, P.L.: Quantifying entanglement. Phys. Rev. Lett. 78, 2275 (1997)MathSciNetMATHADS
Walls, D.F.: Squeezed states of light. Nature 306, 141–146 (1983)ADS
Walls, D.F., Millburn, G.J.: Quantum Optics. Springer, New York (2010)
Wang, T.L., Wu, L.N., Yang, W.: Quantum Fisher information as a signature of the superradiant quantum phase transition. New J. Phys. 16, 063039 (2014)MathSciNetADS
Winter, A., Yang, D.: Operational resource theory of coherence. Phys. Rev. Lett. 116, 120404 (2016)ADS
Wootters, W.K.: Entanglement of formation of an arbitrary state of two qubits. Phys. Rev. Lett. 80, 2245 (1998)MATHADS
Yao, Y., Xiao, X., Ge, L., Wang, X., Sun, C.: Quantum Fisher information in noninertial frames. Phys. Rev. A 89, 042336 (2014)ADS
Yuan, X., Zhou, H.Y., Cao, Z., Ma, X.F.: Intrinsic randomness as a measure of quantum coherence. Phys. Rev. A 92, 022124 (2015)ADS
Zhang, Y.M., Li, X.W., Yang, W., Jin, G.R.: Quantum Fisher information of entangled coherent states in the presence of photon loss. Phys. Rev. A 88, 043832 (2013)ADS
Metadata
Title
Entanglement, quantum coherence and quantum Fisher information of two qubit-field systems in the framework of photon-excited coherent states
Authors
S. Abdel-Khalek
M. Algarni
Marin Marin
K. Berrada
Publication date
01-12-2023
Publisher
Springer US
Published in
Optical and Quantum Electronics / Issue 14/2023
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-023-05504-2

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