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Qubit dynamics in an external laser field

D.M. Vasilev1, V.V. Semin1

Samara National Research University, Moskovskoye Shosse 34, 443086, Samara, Russia

 PDF, 1740 kB

DOI: 10.18287/2412-6179-2019-43-4-562-566

Pages: 562-566.

Full text of article: Russian language.

Abstract:
In this paper, dynamics of a qubit in an external laser field is investigated for the non-Markov environment described by an Ornstein-Uhlenbeck process. A non-linear non-Markovian stochastic Schrödinger equation is derived for the quantum system. The stochastic equation is preserved for a positive semi-definite of the density matrix and its trace. By the numerical solution of the equation, the probability of finding the system in the excited state and the influence of non-Markov noise parameters on this probability are studie.

Keywords:
stochastic Schrödinger equation, non-Markovian dynamics, qubit

Citation:
Vasilev DM, Semin VV. Qubit dynamics in extern laser field. Computer Optics 2019; 43(4): 562-566. DOI: 10.18287/2412-6179-2019-43-4-562-566.

References:

  1. Breuer H-P, Petruccione F. The theory of open quantum systems. New York: Oxford University Press Inc; 2002.
  2. Gröblcher S, Trubarov A, Prigge N, Cole GD, Aspelmeyer M, Eisert J. Observation of non-Markovian micromechanical Brownian motion. Nat Commun 2015; 6: 7606. DOI: 10.1038/ncomms8606.
  3. Madsen KH, Ates S, Lund-Hansen T, Löffler A, Reitzenstein S, Forchel A, Lodahl P. Observation of non-Markovian dynamics of a single quantum dot in a micropillar cavity. Phys Rev Lett 2011; 106: 233601. DOI: 10.1103/PhysRevLett.106.233601.
  4. Mi X, Cady JV, Zajac DM, Deelman PW, Petta JR. Strong coupling of a single electron in silicon to a microwave photon. Science 2017; 355: 156-158. DOI: 10.1126/science.aal2469.
  5. Potočnik A, Bargerbos A, Schröder FAYN, Khan SA, Collodo MC, Gasparinetti S, Salathé Y, Creatore C, Eichler C, Türeci HE, Chin AW, Wallraff A. Studying light-harvesting models with superconducting circuits. Nat Commun 2018; 9: 904. DOI: 10.1038/s41467-018-03312-x.
  6. Aharonovich I, Englund D, Toth M. Solid-state single-photon emitters. Nat Photon 2016; 10: 631-641. DOI: 10.1038/nphoton.2016.186.
  7. Barchielli A, Gregoratti M. Quantum trajectories and measurements in continuous time: The diffusive case. Berlin, Heidelberg: Springer-Verlag; 2009. ISBN: 978-3-642-01297-6.
  8. Barchielli A, Pellegrini C, Petruccione F. Stochastic Schrödinger equations with coloured noise. Europhysics Letters 2010; 91(2): 24001. DOI: 10.1209/0295-5075/91/24001.
  9. Øksendal B. Stochastic differential equations: An introduction with applications. Berlin, Heidelberg, New York: Springer-Verlag; 1998.



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