Abstract
With variational method of Pekar type and quantum statistics theory, the temperature effects on electron probability density (EPD) of a strongly-coupling electron-LO-phonon (polaron) in RbCl material quantum pseudodots (QPDs) are studied. The qubit in the QPD system can be built by the two-level energy states. The EPD periodically oscillates in the special material QPD with a certain period as the electron is located in the superposition state of the ground and first excited states. The changing functions of EPD and the oscillating period with the system temperature and the chemical potential of the two-dimensional electron gas are found.
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References
Bennett, C.H., DiVincenzo, D.P.: Quantum information and computation. Nature 404(6775), 247–255 (2000)
Chen, Y.J., Xiao, J.L.: Temperature effects of parabolic linear bound potential and Coulomb bound potential quantum dot qubit. Commun. Theor. Phys. 52(4), 601–605 (2009)
Chen, Y.J., Xiao, J.L.: The temperature effects on the parabolic quantum dot qubit in the electric field. J. Low Temp. Phys. 170(1–2), 60–67 (2013)
Cui, Z., Ke, X., Li, E., Liu, T.: Electronic and optical properties of titanium-doped GaN nanowires. Mater. Des. 96, 409–415 (2016)
Cui, Z., Li, E., Ke, X., Zhao, T., Yang, Y., Ding, Y., Liu, T., Qu, Y., Xu, S.: Adsorption of alkali-metal atoms on GaN nanowires photocathode. Appl. Surf. Sci. 423, 829–835 (2017)
Devreese, J.T.: Polarons in Ionic Crystals and Polar Semiconductors, p. 721. North-Holland, Amsterdam (1972)
Ding, Z.H., Sun, Y., Xiao, J.L.: Optical phonon effect in an asymmetric quantum dot qubit. Int. J. Quantum Inf. 10(07), 1250077-1–1250077-9 (2012)
Du, J., Shi, M., Wu, J., et al.: Implementing universal multiqubit quantum logic gates in three-and four-spin systems at room temperature. Phys. Rev. A 63(4), 042302-1–042302-5 (2001)
Gorman, J., Hasko, D. G., Williams, D. A.: Charge-qubit operation of an isolated double quantum dot. Phys. Rev. Lett. 95(9), 090502 (2005)
Grishin, A., Yurkevich, I.V., Lerner, I.V.: Low-temperature decoherence of qubit coupled to background charges. Phys. Rev. B 72(6), 060509-1–060509-4 (2005)
Imamog, A., Awschalom, D.D., Burkard, G., DiVincenzo, D.P., Loss, D., Sherwin, M., Small, A.: Quantum information processing using quantum dot spins and cavity QED. Phys. Rev. Lett. 83(20), 4204–4207 (1999)
Landau, L.D., Pekar, S.I.: Effective mass of a polaron. J. Exp. Theor. Phys. 18, 419–423 (1948)
Loss, D., DiVincenzo, D.P.: Quantum computation with quantum dots. Phys. Rev. A 57(1), 120–126 (1998)
Ma, X.J., Qi, B., Xiao, J.L.: Coulomb impurity potential RbCl quantum pseudodot qubit. J. Low Temp. Phys. 180(3–4), 315–320 (2015)
Mooij, J.E., Orlando, T.P., Levitov, L., Tian, L., Van der Wal, C.H., Lloyd, S.: Josephson persistent-current qubit. Science 285(5430), 1036–1039 (1999)
Pekar, S.I., Deigen, M.F.: The quantum states and the optical transitions of an electron in a polaron and in a color center in a crystal. ZH. Eksp. Teor. Fiz., (USSR) 18(6), 481–486 (1948)
Sun, J.K., Li, H.J., Xiao, J.L.: The temperature effect of the triangular bound potential quantum dot qubit. Superlattices Microstruct. 46(3), 476–482 (2009)
Sun, Y., Ding, Z.H., Xiao, J.L.: The effect of phonons in RbCl quantum pseudodot qubits. J. Electron. Mater. 45(7), 3576–3580 (2016)
Tiotsop, M., Fotue, A.J., Fautso, G.K., Kenfack, C.S., Fotsin, H.B., Fai, L.C.: Decoherence time, hydrogenic-like impurity effect and Shannon entropy on polaron in RbCl triangular quantum dot qubit. Superlattices Microstruct. 103, 70–77 (2017)
Trauzettel, B., Bulaev, D.V., Loss, D., Burkard, G.: Spin qubits in graphene quantum dots. Nat. Phys. 3(3), 192–196 (2007)
Xiao, J.L.: Influences of temperature and coulomb bound potential on the properties of quantum rod qubit. Superlattices Microstruct. 60, 248–256 (2013)
Xiao, J.L.: Effects of electric field and temperature on RbCl asymmetry quantum dot qubit. J. Phys. Soc. Jpn. 83(3), 034004-1–034004-4 (2014)
Xiao, J.L.: The effect of magnetic field on RbCl quantum pseudodot qubit. Mod. Phys. Lett. B 29(19), 155009817 (2015)
Xiao, W., Wang, H.W.: Effect of temperature on the coherence time of a parabolic quantum dot qubit. Low Temp. Phys. 41(3), 203–206 (2015)
You, J.Q., Nori, F.: Quantum information processing with superconducting qubits in a microwave field. Phys. Rev. B 68(6), 064509-1–064509-7 (2003)
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Thanks to higher education institution scientific research project in Inner Mongolia No. NJZY 16183 and National Science Foundation of China No. 11464033.
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Ma, XJ., Xiao, JL. Temperature effects of the electron probability density on quantum pseudodot qubit. Opt Quant Electron 50, 144 (2018). https://doi.org/10.1007/s11082-018-1407-2
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DOI: https://doi.org/10.1007/s11082-018-1407-2