Theoretical studies on the optical absorption coefficients and refractive index changes in parabolic quantum dots in the presence of electric and magnetic fields

Abstract The optical absorption coefficients and the changes in the refractive index in GaAs/AlGaAs parabolic quantum dots(QDs) with applied electric and magnetic fields are studied in detail. Analytical expressions for the linear and nonlinear intersubband absorption coefficients and refractive index changes are obtained by using a compact density matrix approach and an iterative procedure. Finally, the calculated results show the incident optical intensity, the frequencies of the confined potential of the QDs and the applied electric and magnetic fields have a great influence on the optical absorption coefficients and refractive index changes in this system.

[1]  Stephen Y. Chou,et al.  Single hole quantum dot transistors in silicon , 1995 .

[2]  V. Fock.  Bemerkung zur Quantelung des harmonischen Oszillators im Magnetfeld , 1928 .

[3]  K. Guo,et al.  Studies on the third-harmonic generation of double-layered quantum wires in magnetic fields , 2001 .

[4]  P. Dapkus.  Metalorganic Chemical Vapor Deposition , 1982 .

[5]  Qi Guo,et al.  Refractive Index Changes Induced by the Incident Optical Intensity in Semiparabolic Quantum Wells , 2003 .

[6]  K. Guo,et al.  Optical second harmonic generation in asymmetric double triangular quantum wells , 2009 .

[7]  S. Chuang,et al.  Optical transitions in a parabolic quantum well with an applied electric field—analytical solutions , 1989 .

[8]  K. Guo,et al.  Nonlinear optical rectification in cubical quantum dots , 2009 .

[9]  Wolfgang Porod,et al.  Quantum cellular automata , 1994 .

[10]  K. Guo,et al.  Second-order nonlinear optical susceptibilities in asymmetric coupled quantum wells , 2008 .

[11]  S. Flügge,et al.  Practical Quantum Mechanics , 1976 .

[12]  Yoshiaki Nakata,et al.  New Optical Memory Structure Using Self-Assembled InAs Quantum Dots , 1995 .

[13]  M. Fejer,et al.  Observation of extremely large quadratic susceptibility at 9.6-10.8 microm in electric-field-biased AlGaAs quantum wells. , 1989, Physical review letters.

[14]  D. DiVincenzo,et al.  Quantum computation with quantum dots , 1997, cond-mat/9701055.

[15]  Shi-ning Zhu,et al.  Electron–phonon interaction effect on optical absorption in cylindrical quantum wires , 2006 .

[16]  K. Guo,et al.  Nonlinear optical rectification in asymmetric double triangular quantum wells , 2008 .

[17]  I. Karabulut,et al.  Linear and nonlinear intersubband optical absorption coefficients and refractive index changes in a quantum box with finite confining potential , 2006 .

[18]  J. R. Arthur,et al.  Molecular beam epitaxy , 1975 .

[19]  C. Darwin.  The Diamagnetism of the Free Electron , 1931, Mathematical Proceedings of the Cambridge Philosophical Society.

[20]  S. Hersee,et al.  LOW-PRESSURE CHEMICAL VAPOR DEPOSITION , 1982 .

[21]  S. Yee,et al.  Free carrier induced changes in the absorption and refractive index for intersubband optical transitions in AlxGa1−xAs/GaAs/AlxGa1−xAs quantum wells , 1991 .