Skip to main content
Top
Published in: Optical and Quantum Electronics 2/2017

01-02-2017

Stationary phase-space information in a qubit interacting non-linearly with a lossy single-mode field in the off-resonant case

Authors: A.-B. A. Mohamed, H. Eleuch, H. A. Hessian

Published in: Optical and Quantum Electronics | Issue 2/2017

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

An analytical description of a qubit interacting non-linearly and non-resonantly with a lossy cavity via intensity-dependent coupling has been obtained. With the amplitude cavity damping as a particular type of the thermal amplitude reservoir damping, Wehrl entropy and Wehrl density are used to investigate the dynamics of the loss of both qubit coherence and information. We show that the Q-function Wehrl entropy and its density are very sensitive not only to the amplitude cavity damping and the intensity of the coherent state but also to the frequency detuning. The information of the phase space and the coherence are quickly lost due to the coupling to the environment. When the qubit interacting non-linearly with the lossy cavity, we observe: (1) The mixedness of the atomic state can be decreased by increasing the coupling to the environment. (2) For the off-resonance case, if the cavity damping is increased, the information of the mixed evolved state can be protected.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
go back to reference Abdalla, M.S., Obada, A.-S.F., Khalil, E.M., Mohamed, A.-B.A.: Wehrl entropy information and purity of a SC-charge qubit interacting with a lossy cavity field. Solid State Commun. 184, 56–62 (2014)ADSCrossRefMATH Abdalla, M.S., Obada, A.-S.F., Khalil, E.M., Mohamed, A.-B.A.: Wehrl entropy information and purity of a SC-charge qubit interacting with a lossy cavity field. Solid State Commun. 184, 56–62 (2014)ADSCrossRefMATH
go back to reference Anderson, A., Halliwell, J.J.: Information-theoretic measure of uncertainty due to quantum and thermal fluctuations. Phys. Rev. D 48, 2753–2765 (1993)ADSMathSciNetCrossRef Anderson, A., Halliwell, J.J.: Information-theoretic measure of uncertainty due to quantum and thermal fluctuations. Phys. Rev. D 48, 2753–2765 (1993)ADSMathSciNetCrossRef
go back to reference Barnett, S.M., Knight, P.L.: Dissipation in a fundamental model of quantum optical resonance. Phys. Rev. A 33, 2444 (1986)ADSCrossRef Barnett, S.M., Knight, P.L.: Dissipation in a fundamental model of quantum optical resonance. Phys. Rev. A 33, 2444 (1986)ADSCrossRef
go back to reference Brouri, R., Beveratos, A., Poizat, J.-P., Grangier, P.: Photon antibunching in the fluorescence of individual color centers in diamond. Opt. Lett. 25, 1294–1296 (2000)ADSCrossRef Brouri, R., Beveratos, A., Poizat, J.-P., Grangier, P.: Photon antibunching in the fluorescence of individual color centers in diamond. Opt. Lett. 25, 1294–1296 (2000)ADSCrossRef
go back to reference Bužek, V., Keitel, C.H., Knight, P.L.: Sampling entropies and operational phase-space measurement. I. General formalism. Phys. Rev. A 51, 2575 (1995)ADSCrossRef Bužek, V., Keitel, C.H., Knight, P.L.: Sampling entropies and operational phase-space measurement. I. General formalism. Phys. Rev. A 51, 2575 (1995)ADSCrossRef
go back to reference Eleuch, H., Guérin, S., Jauslin, H.R.: Effects of an environment on a cavity-quantum-electrodynamics system controlled by bichromatic adiabatic passage. Phys. Rev. A 85, 013830 (2012)ADSCrossRef Eleuch, H., Guérin, S., Jauslin, H.R.: Effects of an environment on a cavity-quantum-electrodynamics system controlled by bichromatic adiabatic passage. Phys. Rev. A 85, 013830 (2012)ADSCrossRef
go back to reference Husimi, K.: Some formal properties of the density matrix. Proc. Phys. Math. Soc. Jpn. 22, 264–314 (1940)MATH Husimi, K.: Some formal properties of the density matrix. Proc. Phys. Math. Soc. Jpn. 22, 264–314 (1940)MATH
go back to reference Keitel, C.H., Wodkiewicz, K.: On the information entropy of squeezed states and the entropic uncertainty relation. Phys. Lett. A 167, 151–160 (1992)ADSMathSciNetCrossRef Keitel, C.H., Wodkiewicz, K.: On the information entropy of squeezed states and the entropic uncertainty relation. Phys. Lett. A 167, 151–160 (1992)ADSMathSciNetCrossRef
go back to reference Michler, P., Imamoglu, A., Mason, M.D., Carson, P.J., Strouse, G.F., Buratto, S.K.: Quantum correlation among photons from a single quantum dot at room temperature. Nature 406, 968–970 (2000)ADSCrossRef Michler, P., Imamoglu, A., Mason, M.D., Carson, P.J., Strouse, G.F., Buratto, S.K.: Quantum correlation among photons from a single quantum dot at room temperature. Nature 406, 968–970 (2000)ADSCrossRef
go back to reference Miranowicz, A., Bajer, J., Wahiddin, M.R.B., Imoto, N.: Wehrl information entropy and phase distributions of Schrdinger cat and cat-like states. J. Phys. A Math. Gen. 34, 3887–3896 (2001)ADSCrossRefMATH Miranowicz, A., Bajer, J., Wahiddin, M.R.B., Imoto, N.: Wehrl information entropy and phase distributions of Schrdinger cat and cat-like states. J. Phys. A Math. Gen. 34, 3887–3896 (2001)ADSCrossRefMATH
go back to reference Mohamed, A.-B.A.: Long-time death of nonclassicality of a cavity field interacting with a charge qubit and its own reservoir. Phys. Lett. A 374, 4115–4119 (2010)ADSCrossRefMATH Mohamed, A.-B.A.: Long-time death of nonclassicality of a cavity field interacting with a charge qubit and its own reservoir. Phys. Lett. A 374, 4115–4119 (2010)ADSCrossRefMATH
go back to reference Mohamed, A.-B., Eleuch, H.: Non-classical effects in cavity QED containing a nonlinear optical medium and a quantum well: Entanglement and non-Gaussanity. Eur. Phys. J. D 69, 191 (2015a)ADSCrossRef Mohamed, A.-B., Eleuch, H.: Non-classical effects in cavity QED containing a nonlinear optical medium and a quantum well: Entanglement and non-Gaussanity. Eur. Phys. J. D 69, 191 (2015a)ADSCrossRef
go back to reference Mohamed, A.-B., Eleuch, H.: Geometric phase in cavity QED containing a nonlinear optical medium and a quantum well. J. Mod. Opt. 62, 1630–1637 (2015b)ADSCrossRef Mohamed, A.-B., Eleuch, H.: Geometric phase in cavity QED containing a nonlinear optical medium and a quantum well. J. Mod. Opt. 62, 1630–1637 (2015b)ADSCrossRef
go back to reference Mohamed, A.-B., Eleuch, H.: Wehrl information and mixedness of a Cooper-pair Box coupled to a cavity in a thermal reservoir. J. Korean Phys. Soc. 68, 513–519 (2016)ADSCrossRef Mohamed, A.-B., Eleuch, H.: Wehrl information and mixedness of a Cooper-pair Box coupled to a cavity in a thermal reservoir. J. Korean Phys. Soc. 68, 513–519 (2016)ADSCrossRef
go back to reference Obada, A.-S.F., Hessian, H.A., Mohamed, A.-B.A.: Entropy and entanglement in the Jaynes-Cummings model with effects of cavity damping. J. Phys. B At. Mol. Opt. Phys. 41, 135503 (2008)ADSCrossRef Obada, A.-S.F., Hessian, H.A., Mohamed, A.-B.A.: Entropy and entanglement in the Jaynes-Cummings model with effects of cavity damping. J. Phys. B At. Mol. Opt. Phys. 41, 135503 (2008)ADSCrossRef
go back to reference Obada, A.-S.F., Hessian, H.A., Mohamed, A.-B.A.: Output entanglement from SU(1, 1) coherent states under nonlinear dissipation in the dispersive limit. J. Phys. A Math. Theor. 43, 025305 (2010)ADSMathSciNetCrossRefMATH Obada, A.-S.F., Hessian, H.A., Mohamed, A.-B.A.: Output entanglement from SU(1, 1) coherent states under nonlinear dissipation in the dispersive limit. J. Phys. A Math. Theor. 43, 025305 (2010)ADSMathSciNetCrossRefMATH
go back to reference Obada, A.-S.F., Abdel-Khalek, S., Mohamed, A.-B.A.: Information entropy and entanglement of a superconducting qubit coupled to a cavity field with its spontaneous decay. Opt. Quant. Electron. 45, 1287 (2013)CrossRef Obada, A.-S.F., Abdel-Khalek, S., Mohamed, A.-B.A.: Information entropy and entanglement of a superconducting qubit coupled to a cavity field with its spontaneous decay. Opt. Quant. Electron. 45, 1287 (2013)CrossRef
go back to reference Obada, A.-S.F., Abdel-Khalek, S.: New features of the atomic Wehrl entropy and its density in multi-quanta two-level system. J. Phys. A Math. Gen. 37, 6573 (2004)ADSMathSciNetCrossRefMATH Obada, A.-S.F., Abdel-Khalek, S.: New features of the atomic Wehrl entropy and its density in multi-quanta two-level system. J. Phys. A Math. Gen. 37, 6573 (2004)ADSMathSciNetCrossRefMATH
go back to reference Obada, A.-S.F., Mohamed, A.-B.A.: Erasing information and purity of a quantum dot via its spontaneous decay. Solid State Commun. 151, 1824 (2011)ADSCrossRef Obada, A.-S.F., Mohamed, A.-B.A.: Erasing information and purity of a quantum dot via its spontaneous decay. Solid State Commun. 151, 1824 (2011)ADSCrossRef
go back to reference Obada, A.-S.F., Mohamed, A.-B.A.: Death of entanglement and non-locality in a superconducting qubit-field entangled state in a thermal reservoir. Opt. Commun. 285, 3027–3031 (2012)ADSCrossRef Obada, A.-S.F., Mohamed, A.-B.A.: Death of entanglement and non-locality in a superconducting qubit-field entangled state in a thermal reservoir. Opt. Commun. 285, 3027–3031 (2012)ADSCrossRef
go back to reference Puri, R.R., Agarwal, G.S.: Coherent two-photon transitions in Rydberg atoms in a cavity with finite Q. Phys. Rev. A 39, 3879 (1988)ADSCrossRef Puri, R.R., Agarwal, G.S.: Coherent two-photon transitions in Rydberg atoms in a cavity with finite Q. Phys. Rev. A 39, 3879 (1988)ADSCrossRef
go back to reference Sete, E.A., Svidzinsky, A.A., Eleuch, H., Yang, Z., Nevels, R.D., Scully, M.O.: Correlated spontaneous emission on the Danube. J. Mod. Opt. 57, 1311 (2010)ADSCrossRefMATH Sete, E.A., Svidzinsky, A.A., Eleuch, H., Yang, Z., Nevels, R.D., Scully, M.O.: Correlated spontaneous emission on the Danube. J. Mod. Opt. 57, 1311 (2010)ADSCrossRefMATH
go back to reference Sete, E.A., et al.: Using quantum coherence to generate gain in the XUV and X-ray: gain-swept superradiance and Lasing without inversion. IEEE J. Sel. Top. Quant. Electron. 18, 541–553 (2012)CrossRef Sete, E.A., et al.: Using quantum coherence to generate gain in the XUV and X-ray: gain-swept superradiance and Lasing without inversion. IEEE J. Sel. Top. Quant. Electron. 18, 541–553 (2012)CrossRef
go back to reference Sete, E.A., Eleuch, H.: Controllable nonlinear effects in an optomechanical resonator containing a quantum well. Phys. Rev. A 85, 043824 (2012)ADSCrossRef Sete, E.A., Eleuch, H.: Controllable nonlinear effects in an optomechanical resonator containing a quantum well. Phys. Rev. A 85, 043824 (2012)ADSCrossRef
go back to reference Sugita, A.: Moments of generalized Husimi distributions and complexity of many-body quantum states. J. Phys. A Math. Gen. 35, L621–L626 (2002)ADSMathSciNetCrossRefMATH Sugita, A.: Moments of generalized Husimi distributions and complexity of many-body quantum states. J. Phys. A Math. Gen. 35, L621–L626 (2002)ADSMathSciNetCrossRefMATH
go back to reference van Enk, S.J., Kimble, H.J.: On the classical character of control fields in quantum information processing. Quant. Inform. Comput. 2, 1–13 (2002)MathSciNetMATH van Enk, S.J., Kimble, H.J.: On the classical character of control fields in quantum information processing. Quant. Inform. Comput. 2, 1–13 (2002)MathSciNetMATH
go back to reference Vieira, V.R., Sacramento, P.D.: Generalized phase-space representatives of spin-J operators in terms of Bloch coherent states. Ann. Phys. 242, 188–231 (1995)ADSMathSciNetCrossRefMATH Vieira, V.R., Sacramento, P.D.: Generalized phase-space representatives of spin-J operators in terms of Bloch coherent states. Ann. Phys. 242, 188–231 (1995)ADSMathSciNetCrossRefMATH
Metadata
Title
Stationary phase-space information in a qubit interacting non-linearly with a lossy single-mode field in the off-resonant case
Authors
A.-B. A. Mohamed
H. Eleuch
H. A. Hessian
Publication date
01-02-2017
Publisher
Springer US
Published in
Optical and Quantum Electronics / Issue 2/2017
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-017-0917-7

Other articles of this Issue 2/2017

Optical and Quantum Electronics 2/2017 Go to the issue