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Computer Simulation of Two - Mode Nonlinear Quantum Scissors

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Języki publikacji
EN
Abstrakty
EN
We present a simulation method allowing for modeling of quantum dynamics of nonlinear quantum scissors’ (NQS) systems. We concentrate on the two-mode model involving two mutually interacting nonlinear quantum oscillators (Kerr nonlinear coupler) excited by a series of ultra-short external coherent pulses. We show that despite the simplicity of the method one can obtain non-trivial results. In particular, we discuss and compare two cases of kicked nonlinear coupler, showing that the quantum evolution of the system remains closed within a two-qubit Hilbert space and can lead to maximally entangled states generation.
Twórcy
  • Quantum Optics and Engineering Division, Institute of Physics University of Zielona Góra, A. Szafrana 4a, 65-516 Zielona Góra, Poland
autor
  • Quantum Optics and Engineering Division, Institute of Physics University of Zielona Góra, A. Szafrana 4a, 65-516 Zielona Góra, Poland
autor
  • Quantum Optics and Engineering Division, Institute of Physics University of Zielona Góra, A. Szafrana 4a, 65-516 Zielona Góra, Poland
Bibliografia
  • [1] W. Leoński, A. Kowalewska-Kudłaszyk, Quantum Scissors-Finite-Dimensional States Engineering. Prog. Opt. 56, 131-185 (2011).
  • [2] N. Korolkova, J. Pĕrina, Quantum statistics and dynamics of Kerr nonlinear couplers. Opt. Commun. 136, 135-149 (1997).
  • [3] A. Miranowicz, W. Leoński, Two-mode optical state truncation and generation of maximally entangled states in pumped nonlinear couplers. J. Phys. B: At. Mol. Opt. Phys. 39, 1683-1700 (2006).
  • [4] W. Leoński, A. Kowalewska-Kudłaszyk, A. Miranowicz, Computer Simulations of Entanglement Dynamics for Nonlinear Systems. CMST 16, 169-172 (2010).
  • [5] Matlab documentation, available at:http://www.mathworks.com/help/matlab/index.html
  • [6] For Octave language documentation see: http://www.gnu.org/software/octave/doc/interpreter/
  • [7] R. J. Glauber, Photon Correlations. Phys. Rev. Lett. 10, 84-86 (1963); coherent and Incoherent States of Radition Field. Phys. Rev. 131, 2766-2788
  • [8] W. Leoński, R. Tana´s, Possibility of producing the one-photon state in a kicked cavity with a nonlinear Kerr medium. Phys. Rev. A 49, R20-R23 (1994).
  • [9] T.V. Gevorgyan, A. R. Shahinyan, G.Yu. Kryuchkyan, Quantum interference and sub-Poissonian statistics for timemodulated driven dissipative nonlinear oscillators. Phys. Rev. A 79, 053828 (2009).
  • [10] D. A. Antonosyan,T.V. Gevorgyan,G.Yu. Kryuchkyan, Threephoton states in nonlinear crystal superlattices. Phys. Rev. A 83, 043807 (2011).
  • [11] T.V. Gevorgyan, A. R. Shahinyan, G.Yu. Kryuchkyan, Generation of Fock states and qubits in periodically pulsed nonlinear oscillators. Phys. Rev. A 85, 053802 (2012).
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Bibliografia
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