Computer Simulations of Entanglement Dynamics for Nonlinear System
Leoński W. 1, Kowalewska-Kudłaszyk Anna 2, Miranowicz Adam 2
1 Quantum Optics and Engineering Division,
Institute of Physics, Zielona Góra University, Poland
ul. Prof. Szafrana 4a, 65-516 Zielona Góra
e-mail: wleonski@proton.if.uz.zgora.pl
2 Nonlinear Optics Division, Department of Physics,
A. Mickiewicz University, ul. Umultowska 85, 61-614 Poznań, Poland
Received:
Received: 23 March 2010; accepted: 6 July 2010; published online: 31 August 2010
DOI: 10.12921/cmst.2010.16.02.169-172
Abstract:
In this paper we discuss the simulation method allowing modeling of quantum unitary dynamics. In particular, we discuss the model of two nonlinear oscillators (nonlinear coupler) excited by an external field as an example of systems exhibiting a possibility of entanglement generation. We show that Bell-like states are generated proving that the numerical method applied can be used as tools of quantum-mechanical simulations leading to interesting results.
Key words:
Bell-like states, computer simulations, nonlinear system, quantum-mechanical simulations
References:
[1] D.F. Walls, G.J. Milburn, Quantum optics. Springer-Verlag, Berlin, Heidelberg, 2008.
[2] W.H. Press, B.P. Flannery, S.A. Teukolsky, W.T. Vetterling, Numerical Recipes. The Art of Scientific Computing. 3rd edition, Cambridge University Press, Camridge UK, New York, 1986.
[3] R.J. Glauber, Coherent and Incoherent States of the Radiation Field. Phys. Rev. A131, 2766-2788 (1963).
[4] W. Leoński, Fock-states in a Kerr medium with parametric pumping. Phys. Rev. A54, 3369-3372 (1996).
[5] W. Leoński, Finite-dimensional coherent state generation and quantum optical nonlinear oscillator models. Phys. Rev. A55, 3874-3878 (1997).
[6] F. Dell’Anno, S. De Siena, F. Illuminati, Multiphoton quantum optics and quantum state engineering. Phys. Rep. 428, 53-168 (2006).
[7] B.M. Garraway, P.L. Knight, Comparison of quantum-state diffusion and quantum-jump simulations of two-photon processes in dissipative environment. Phys. Rev. 49, 1266-1274 (1994).
In this paper we discuss the simulation method allowing modeling of quantum unitary dynamics. In particular, we discuss the model of two nonlinear oscillators (nonlinear coupler) excited by an external field as an example of systems exhibiting a possibility of entanglement generation. We show that Bell-like states are generated proving that the numerical method applied can be used as tools of quantum-mechanical simulations leading to interesting results.
Key words:
Bell-like states, computer simulations, nonlinear system, quantum-mechanical simulations
References:
[1] D.F. Walls, G.J. Milburn, Quantum optics. Springer-Verlag, Berlin, Heidelberg, 2008.
[2] W.H. Press, B.P. Flannery, S.A. Teukolsky, W.T. Vetterling, Numerical Recipes. The Art of Scientific Computing. 3rd edition, Cambridge University Press, Camridge UK, New York, 1986.
[3] R.J. Glauber, Coherent and Incoherent States of the Radiation Field. Phys. Rev. A131, 2766-2788 (1963).
[4] W. Leoński, Fock-states in a Kerr medium with parametric pumping. Phys. Rev. A54, 3369-3372 (1996).
[5] W. Leoński, Finite-dimensional coherent state generation and quantum optical nonlinear oscillator models. Phys. Rev. A55, 3874-3878 (1997).
[6] F. Dell’Anno, S. De Siena, F. Illuminati, Multiphoton quantum optics and quantum state engineering. Phys. Rep. 428, 53-168 (2006).
[7] B.M. Garraway, P.L. Knight, Comparison of quantum-state diffusion and quantum-jump simulations of two-photon processes in dissipative environment. Phys. Rev. 49, 1266-1274 (1994).
