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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.
Słowa kluczowe
Rocznik
Tom
Strony
175--181
Opis fizyczny
Bibliogr. 11 poz., rys.
Twórcy
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
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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