journal article·2017-07-14Open access

The New Concept of Nano-Device Spectroscopy Based on Rabi–Bloch Oscillations for THz-Frequency Range

Ilay Levie, Gregory Slepyan

Applied Sciences· Volume 7· Issue 7

Abstract

We considered one-dimensional quantum chains of two-level Fermi particles coupled via the tunneling driven both by ac and dc fields in the regimes of strong and ultrastrong coupling. The frequency of ac field is matched with the frequency of the quantum transition. Based on the fundamental principles of electrodynamics and quantum theory, we developed a general model of quantum dynamics for such interactions. We showed that the joint action of ac and dc fields leads to the strong mutual influence of Rabi- and Bloch oscillations, one to another. We focused on the regime of ultrastrong coupling, for which Bloch- and Rabi-frequencies are significant values of the frequency of interband transition. The Hamiltonian was solved numerically, with account of anti-resonant terms. It manifests by the appearance of a great number of narrow high-amplitude resonant lines in the spectra of tunneling current and dipole moment. We proposed the new concept of terahertz (THz) spectroscopy, which is promising for different applications in future nanoelectronics and nano-photonics.
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Research context

OpenAlex topics: Molecular Junctions and Nanostructures · Mechanical and Optical Resonators · Photonic and Optical Devices

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department from Physical Electronics, School of Electrical Engineering, Tel Aviv University, Tel Aviv 39040, Israel

References (71)

Show source-provided references
1. Scully, M.O., and Zubairy, M.S. (2001). Quantum Optics, Cambridge University Press.
2. Rabi, I.I. (1937). Space Quantization in a Gyrating Magnetic Field. Phys. Rev., 51.10.1103/PhysRev.51.652 ↗
3. Hocker, G.B., and Tang, C.L. (1968). Observation of the Optical Transient Nutation Effect. Phys. Rev. Lett., 21.10.1103/PhysRevLett.21.591 ↗
4. Kamada, H., Gotoh, U., Temmyo, J., Takagahara, T., and Ando, H. (2001). Exciton Rabi Oscillation in a Single Quantum Dot. Phys. Rev. Lett., 87.10.1103/PhysRevLett.87.246401 ↗
5. Blais, A., Huang, R.S., Wallraff, A., Girvin, S.M., and Schoelkopf, R.J. (2004). Cavity quantum electrodynamics for superconducting electrical circuits: An architecture for quantum computation. Phys. Rev. A, 69.10.1103/PhysRevA.69.062320 ↗
6. Gambetta, J., Blais, A., Schuster, D.I., Wallraff, A., Frunzio, L., Majer, J., Devoret, M.H., Girvin, S.M., and Schoelkopf, R.J. (2006). Qubit-photon interactions in a cavity: Measurement-induced dephasing and number splitting. Phys. Rev. A, 74.10.1103/PhysRevA.74.042318 ↗
7. Blais, A., Gambetta, J., Wallraff, A., Schuster, D.I., Girvin, S.M., Devoret, M.H., and Schoelkopf, R.J. (2007). Quantum-information processing with circuit quantum electrodynamics. Phys. Rev. A, 75.10.1103/PhysRevA.75.032329 ↗
8. Burkard, G., and Imamoglu, A. (2006). Ultra-long-distance interaction between spin qubits. Phys. Rev. B, 74.10.1103/PhysRevB.74.041307 ↗
9. Measuring the decoherence rate in a semiconductor charge qubit10.1103/PhysRevB.68.155307 ↗
10. Matter Coupling to Strong Electromagnetic Fields in Two-Level Quantum Systems with Broken Inversion Symmetry10.1103/PhysRevLett.102.023601 ↗
11. Wave propagation of Rabi oscillations in one-dimensional quantum dot chain10.1016/j.physleta.2009.02.016 ↗
12. Slepyan, G.Y., Yerchak, Y.D., Maksimenko, S.A., Hoffmann, A., and Bass, F.G. (2012). Mixed states in Rabi waves and quantum nanoantennas. Phys. Rev. B, 85.10.1103/PhysRevB.85.245134 ↗
13. Yerchak, Y., Slepyan, G.Y., Maksimenko, S.A., Hoffmann, A., and Bass, F. (2013). Array of tunneling-coupled quantum dots as a terahertz range quantum nanoantenna. J. Nanophotonics, 7.10.1117/1.JNP.7.073085 ↗
14. Slepyan, G.Y., Yerchak, Y.D., Hoffmann, A., and Bass, F.G. (2010). Strong electron-photon coupling in a one-dimensional quantum dot chain: Rabi waves and Rabi wave packets. Phys. Rev. B, 81.10.1103/PhysRevB.81.085115 ↗
15. Gligorić, G., Maluckov, A., Hadžievski, L., Slepyan, G.Y., and Malomed, B.A. (2013). Discrete solitons in an array of quantum dots. Phys. Rev. B, 88.10.1103/PhysRevB.88.155329 ↗
16. Gligorić, G., Maluckov, A., Hadžievski, L., Slepyan, G.Y., and Malomed, B.A. (2015). Soliton nanoantennas in two-dimensional arrays of quantum dots. J. Phys., 27.10.1088/0953-8984/27/22/225301 ↗
17. UЁ ber die Quantenmechanik der Elektronen in Kristallgittern10.1007/BF01339455 ↗
18. Theory of electrical breakdown of solid dielectrics10.1098/rspa.1934.0116 ↗
19. Wannier, G.H. (1960). Wave functions and effective Hamiltonian for Bloch electrons in an electric field. Phys. Rev., 117.10.1103/PhysRev.117.432 ↗
20. Wannier, G.H. (1969). Stark ladder in solids? A reply. Phys. Rev., 181.10.1103/PhysRev.181.1364 ↗
21. Duan, F., and Guojin, J. (2007). Introduction to Condensed Matter Physics, World Scientific.
22. Coherent submillimeter-wave emission from Bloch oscillations in a semiconductor superlattice10.1103/PhysRevLett.70.3319 ↗
23. Strongly correlated quantum walks in optical lattices10.1126/science.1260364 ↗
24. Wannier–Stark resonances in optical and semiconductor superlattices10.1016/S0370-1573(02)00142-4 ↗
25. Bloch Oscillations of Atoms in an Optical Potential10.1103/PhysRevLett.76.4508 ↗
26. Dynamical Bloch Band Suppression in an Optical Lattice10.1103/PhysRevLett.81.5093 ↗
27. Bloch Oscillations and Mean-Field Effects of Bose-Einstein Condensates in 1D Optical Lattices10.1103/PhysRevLett.87.140402 ↗
28. Physics with Coherent Matter Waves10.1088/0034-4885/67/6/R03 ↗
29. Ferrari, G., Poli, N., Sorrentino, F., and Tino, G.M. (2006). Long-Lived Bloch Oscillations with Bosonic Sr Atoms and Application to Gravity Measurement at the Micrometer Scale. Phys. Rev. Lett., 97.10.1103/PhysRevLett.97.060402 ↗
30. Bloch Oscillations of Ultracold Atoms: A Tool for a Metrological Determination of h/mRb10.1103/PhysRevLett.92.253001 ↗
31. Experimental Observation of Linear and Nonlinear Optical Bloch Oscillations10.1103/PhysRevLett.83.4756 ↗
32. Optical Bloch Oscillations in Temperature Tuned Waveguide Arrays10.1103/PhysRevLett.83.4752 ↗
33. Optical Bloch oscillations in waveguide arrays10.1364/OL.23.001701 ↗
34. Agarwal, G.S. (2013). Quantum Optics, Cambridge University Press.10.1017/CBO9781139035170 ↗
35. Bromberg, Y., Lahini, Y., and Silberberg, Y. (2011). Bloch Oscillations of Path-Entangled Photons. Phys. Rev. Lett. (E), 105.10.1103/PhysRevLett.105.263604 ↗
36. Afek, I., Natan, A., Ambar, O., and Silberberg, Y. (2009). Quantum state measurements using multipixel photon detectors. Phys. Rev. A, 79.10.1103/PhysRevA.79.043830 ↗
37. High-NOON States by Mixing Quantum and Classical Light10.1126/science.1188172 ↗
38. Acoustic Analogue of Electronic Bloch Oscillations and Resonant Zener Tunneling in Ultrasonic Superlattices10.1103/PhysRevLett.98.134301 ↗
39. Macroscopic quantum interference from atomic tunnel arrays10.1126/science.282.5394.1686 ↗
40. Theoretical analysis of super–Bloch oscillations10.1103/PhysRevA.83.053627 ↗
41. Hartmann, T., Keck, F., Korsch, H.J., and Mossmann, S. (2004). Dynamics of Bloch oscillations. New J. Phys., 6.10.1088/1367-2630/6/1/002 ↗
42. Ciuti, C., Bastard, G., and Carusotto, I. (2005). Quantum Vacuum Properties of the Intersubband Cavity Polariton Field. Phys. Rev. B, 72.10.1103/PhysRevB.72.115303 ↗
43. Todorov, Y., and Sirtori, C. (2014). Few-Electron Ultrastrong Light-Matter Coupling in a Quantum LC Circuit. Phys. Rev. X, 4.10.1103/PhysRevX.4.041031 ↗
44. Hagenmüller, D., De Liberato, S., and Ciuti, C. (2010). Ultrastrong Coupling between a Cavity Resonator and the Cyclotron Transition of a Two-Dimensional Electron Gas in the Case of an Integer Filling Factor. Phys. Rev. B, 81.10.1103/PhysRevB.81.235303 ↗
45. Peropadre, B., Forn-Díaz, P., Solano, E., and Grcía-Ripoll, J.J. (2010). Switchable Ultrastrong Coupling in Circuit QED. Phys. Rev. Lett., 105.10.1103/PhysRevLett.105.023601 ↗
46. Anappara, A.A., De Liberato, S., Tredicucci, A., Ciuti, C., Biasiol, G., Sorba, L., and Beltram, F. (2009). Signatures of the Ultrastrong Light-Matter Coupling Regime. Phys. Rev. B, 79.10.1103/PhysRevB.79.201303 ↗
47. Todorov, Y., Andrews, A.M., Colombelli, R., De Liberato, S., Ciuti, C., Klang, P., Strasser, G., and Sirtori, C. (2010). Ultrastrong Light-Matter Coupling Regime with Polariton Dots. Phys. Rev. Lett., 105.10.1103/PhysRevLett.105.196402 ↗
48. Geiser, M., Castellano, F., Scalari, G., Beck, M., Nevou, L., and Faist, J. (2012). Ultrastrong Coupling Regime and Plasmon Polaritons in Parabolic Semiconductor Quantum Wells. Phys. Rev. Lett., 108.10.1103/PhysRevLett.108.106402 ↗
49. Delteil, A., Vasanelli, A., Todorov, Y., Feuillet Palma, C., Renaudat St-Jean, M., Beaudoin, G., Sagnes, I., and Sirtori, C. (2012). Charge-Induced Coherence between Intersubband Plasmons in a Quantum Structure. Phys. Rev. Lett., 109.10.1103/PhysRevLett.109.246808 ↗
50. Ultrastrong Coupling of the Cyclotron Transition of a 2D Electron Gas to a THz Metamaterial10.1126/science.1216022 ↗
51. Circuit Quantum Electrodynamics in the Ultrastrong-Coupling Regime10.1038/nphys1730 ↗
52. Schwartz, T., Hutchison, J.A., Genet, C., and Ebbesen, T.W. (2011). Reversible Switching of Ultrastrong Light-Molecule Coupling. Phys. Rev. Lett., 106.10.1103/PhysRevLett.106.196405 ↗
53. Levie, I., Kastner, R., and Slepyan, G. (2017). Rabi-Bloch Oscillations in Spatially Distributed Systems: Temporal Dynamics and Frequency Spectra. Quantum Physics (quant-ph), Cornell University Library.10.1103/PhysRevA.96.043854 ↗
54. Biagioni1, P., Huang, J.S., and Hecht, B. (2012). Nanoantennas for visible and infrared radiation. Rep. Prog. Phys., 75.10.1088/0034-4885/75/2/024402 ↗
55. Optical Antennas10.1364/AOP.1.000438 ↗
56. Antennas for light10.1038/nphoton.2010.237 ↗
57. Quantitative theory of nanowire and nanotube antenna performance10.1109/TNANO.2006.877430 ↗
58. Infrared and optical properties of carbon nanotube dipole antennas10.1109/TNANO.2006.883475 ↗
59. Alu, A., and Engheta, N. (2008). Input impedance, nanocircuit loading, and radiation tuning of optical nanoantennas. Phys. Rev. Lett., 101.10.1103/PhysRevLett.101.043901 ↗
60. Alu, A., and Engheta, N. (2008). Hertzian plasmonic nanodimer as an efficient optical nanoantenna. Phys. Rev. B, 78.10.1103/PhysRevB.78.195111 ↗
61. Greffet, J.-J., Laroche, J.-J., and Marquir, F. (2010). Impedance of a Nanoantenna and a Single Quantum Emitter. Phys. Rev. Lett., 105.10.1103/PhysRevLett.105.117701 ↗
62. Slepyan, G.Y., and Boag, A. (2013). Quantum Nonreciprocity of Nanoscale Antenna Arrays in Timed Dicke States. Phys. Rev. Lett., 111.10.1103/PhysRevLett.111.023602 ↗
63. Mokhlespour, S., Haverkort, J.E.M., Slepyan, G., Maksimenko, S., and Hoffmann, A. (2012). Collective spontaneous emission in coupled quantum dots: Physical mechanism of quantum nanoantenna. Phys. Rev. B, 86.10.1103/PhysRevB.86.245322 ↗
64. Analysis of the finite difference time domain technique to solve the Schrodinger equation for quantum devices10.1063/1.1753661 ↗
65. Peskin, U., and Galperin, M. (2012). Coherently controlled molecular junctions. J. Chem. Phys., 136.10.1063/1.3676047 ↗
66. Landau, L.D., and Lifshitz, E.M. (1965). Quantum Mechanics, Course of Theoretical Physics, Pergamon Press. Section 132.
67. Landau, L.D., and Lifshitz, E.M. (1960). Mechanics, Course of Theoretical Physics, Pergamon Press.10.1115/1.3644010 ↗
68. Breuer, H.P., and Petruccione, F. (2002). The Theory of Open Quantum Systems, Clarendon Press.10.1007/3-540-44874-8_4 ↗
69. Bamba, M., and Imoto, N. (2016). Maxwell boundary conditions imply non-Lindblad master equation. Phys. Rev. A, 94.10.1103/PhysRevA.94.033802 ↗
70. Landau, L.D., and Lifshitz, E.M. (1965). Quantum Mechanics, Course of Theoretical Physics, Pergamon Press. Section 76.
71. Wang, L., and May, L. (2016). Theory of multiexciton dynamics in molecular chains. Phys. Rev. B, 94.10.1103/PhysRevB.94.195413 ↗