Abstract
A recent progress on hybrid systems with a GaAs-based electromechanical resonator is reviewed. Fundamental experimental techniques including fabrication of an electromechanical resonator integrated with a GaAs heterostructure and transport measurements using a cryogenic amplifier are explained. The first topic is on a hybrid system composed of a gate-tunable quantum dot (QD) and quantum point contact (QPC) integrated into a piezoelectricity-based electromechanical resonator. The piezoelectric coupling between them enables us to detect milli-Kelvin phonon states via current flowing through the QD/QPC. Noise analysis based on an equivalent circuit elucidates that the displacement sensitivity is amplifier-limited and the estimated intrinsic sensitivity with a QD transducer potentially reaches the zero-point motion of the resonator. The second topic is on quadrupole-coupling between electrically tunable phonon states in an electromechanical resonator and a nuclear spin ensemble within it. As a consequence of a rapidly oscillating strain induced by a strongly driven mechanical resonator, nuclear magnetic resonance (NMR) frequency shifts which can be regarded as mechanical analogue of ac-Stark shift known in cavity quantum electrodynamics is observed. This prototype system potentially opens up quantum state engineering for electrons, phonons, and nuclear spins such as coherent coupling between them.
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References
Y. Okazaki, I. Mahboob, K. Onomitsu, S. Sasaki, H. Yamaguchi, Appl. Phys. Lett. 103, 192105 (2013)
Y. Okazaki, I. Mahboob, K. Onomitsu, S. Sasaki, H. Yamaguchi, Nat. Commun. 7, 11132 (2016)
Y. Okazaki, I. Mahboob, K. Onomitsu, S. Sasaki, S. Nakamura, N.-H. Kaneko, H. Yamaguchi, Nat. Commun. 9, 2993 (2018)
K.L. Ekinci, M.L. Roukes, Nanoelectromechanical systems. Rev. Sci. Instrum. 76, 061101 (2005)
A.N. Cleland, Foundations of Nanomechanics (Springer, 2003)
M.D. LaHaye, O. Buu, B. Camarota, K.C. Schwab, Science 304, 74–77 (2004)
E. Verhagen, S. Deléglise, S. Weis, A. Schliesser, T.J. Kippenberg, Nature 482, 63–67 (2012)
T.A. Palomaki, J.D. Teufel, R.W. Simmonds, K.W. Lehnert, Science 342, 710–713 (2013)
R. Riedinger et al., Nature 530, 313–316 (2016)
R. Riedinger et al., Nature 556, 473–477 (2018)
C.F. Ockeloen-Korppi et al., Stabilized entanglement of massive mechanical oscillators. Nature 556, 478–482 (2018)
A.D. O’Connell et al., Nature 464, 697–703 (2010)
E. Verhagen, S. Deléglise, S. Weis, A. Schliesser, T.J. Kippenberg, Nature 482, 63-67 (2012)
J.D. Cohen et al., Nature 520, 522–525 (2015)
A. Schliesser, O. Arcizet, R. Rivière, G. Anetsberger, T.J. Kippenberg, Nat. Phys. 5, 509–514 (2009)
J.D. Teufel et al., Nature 475, 359–363 (2011)
C.H. Metzger, K. Karrai, Nature 432, 1002–1005 (2004)
M. Aspelmeyer, T.J. Kippenberg, F. Marquardt, Rev. Mod. Phys. 86, 1391–1452 (2014)
J.D. Teufel, T. Donner, M.A. Castellanos-Beltran, J.W. Harlow, K.W. Lehnert, Nat. Nanotechnol. 4, 820 (2009)
R.G. Knobel, A.N. Cleland, Nature 424, 291–293 (2003)
M.D. LaHaye, J. Suh, P.M. Echternach, K.C. Schwab, M.L. Roukes, Nature 459, 960–964 (2009)
S. Etaki, M. Poot, I. Mahboob, K. Onomitsu, H. Yamaguchi, H.S.J. van der Zant, Nat. Phys. 4, 785 (2008)
A.D. Armour, M.P. Blencowe, Y. Zhang, Phys. Rev. B 69, 125313 (2004)
M.P. Blencowe, J. Imbers, A.D. Armour, New J. Phys. 7, 236 (2005)
I.S. Grudinin, H. Lee, O. Painter, K.J. Vahala, Phys. Rev. Lett. 104, 083901 (2010)
R.P. Beardsley, A.V. Akimov, M. Henini, A.J. Kent, Phys. Rev. Lett. 104, 085501 (2010)
J. Gardner, S.D. Bennett, A.A. Clerk, Phys. Rev. B 84, 205316 (2011)
R. Okuyama, M. Eto, T. Brandes, J. Phys. Soc. Jpn. 82, 013704 (2013)
A. Khaetskii, V. N. Golovach, X. Hu, I. Žutić, Phys. Rev. Lett. 111, 186601 (2013)
I. Mahboob, K. Nishiguchi, A. Fujiwara, H. Yamaguchi, Phys. Rev. Lett. 110, 127202 (2013)
J. Kabuss, A. Carmele, T. Brandes, A. Knorr, Phys. Rev. Lett. 109, 054301 (2012)
A. Naik et al., Nature 443, 193–196 (2006)
G.A. Steele et al., Science 325, 1103–1107 (2009)
S.N. Shevchenko, D.G. Rubanov, F. Nori, Phys. Rev. B 91, 165422 (2015)
A.N. Cleland, J.S. Aldridge, D.C. Driscoll, A.C. Gossard, Appl. Phys. Lett. 81, 1699 (2002)
E.M. Weig et al., Phys. Rev. Lett. 92, 046804 (2004)
J. Stettenheim et al., Nature 466, 86–90 (2010)
I. Mahboob, K. Nishiguchi, H. Okamoto, H. Yamaguchi, Nat. Phys. 8, 387–392 (2012)
J.-M. Pirkkalainen, S.U. Cho, J. Li, G.S. Paraoanu, P.J. Hakonen, M.A. Sillanpää, Nature 494, 211–215 (2013)
A. Wallraff et al., Nature 431, 162–167 (2004)
M. Boissonneault, J.A. Gambetta, A. Blais, Phys. Rev. A 79, 013819 (2009)
D.I. Schuster et al., Phys. Rev. Lett. 94, 123602 (2005)
Y. Tsaturyan, A. Barg, E.S. Polzik, A. Schliesser, Nat. Nanotechnol. 12, 776–783 (2017)
A.H. Ghadimi et al., Science 360, 764–768 (2018)
D.I. Bolef, R.K. Sundfors, Nuclear Acoustic Resonance (Academic Press, CA, 1993)
R.K. Sundfors, Phys. Rev. 185, 458–472 (1969)
J. Ma, X. Wang, C.P. Sun, F. Nori, Phys. Rep. 509, 89–165 (2011)
S.A. Dooley et al., New. J. Phys. 18, 053011 (2016)
V. Umansky, M. Heiblum, Y. Levinson, J. Smet, J. N\(\ddot{u}\)bler, M. Dolev, J. Crystal Growth 311, 1658-1661 (2009)
K. Fricke, J. Appl. Phys. 70, 914 (1991)
S.C. Masmanidis et al., Science 317, 780–783 (2007)
L. Roschier, P. Hakonen, Cryogenics 44, 783 (2004)
N. Okuhanski, E. Hoenig, Appl. Phys. Lett. 85, 2956 (2004)
I.T. Vink, T. Nooitgedagt, R.N. Schouten, L.M.K. Vandersypen, W. Wegscheider, Appl. Phys. Lett. 91, 123512 (2007)
L. DiCarlo, Y. Zhang, D.T. McClure, C.M. Marcus, L.N. Pfeiffer, K.W. West, Rev. Sci. Instrum. 77, 073906 (2006)
M. Hashisaka, Y. Yamauchi, S. Nakamura, S. Kasai, K. Kobayashi, T. Ono, J. Phys.: Conf. Ser. 109, 012013 (2008)
Y. Okazaki, S. Sasaki, K. Muraki, Phys. Rev. B 87, 041302(R) (2013)
B. Razavi, Design of Analog CMOS Integrated (McGraw-Hill Companies, 2003)
R. de-Picciotto, M. Reznikov, M. Heiblum, V. Umansky, G. Bunin, D. Mahalu, Nature 389, 162 (1997)
C.M. Caves, K.S. Thorne, W.P. Drever, V.D. Sandberg, N. Zimmermann, Rev. Mod. Phys. 52, 341–392 (1980)
C.M. Caves, Phys. Rev. D 26, 1817–1839 (1981)
Ya.. M. Blanter, M. Buttiker, Phys. Rep. 336, 1 (2000)
N.T.M. Tran, Y. Okazaki, S. Nakamura, M. Ortolano, N.-H. Kaneko, Jpn. J. Appl. Phys. 56, 04CK10 (2017)
M.H. Levitt, Spin Dynamics: Basics of Nuclear Magnetic Resonance (Wiley, 2015)
Y. Hirayama, G. Yusa, K. Hashimoto, N. Kumada, T. Ota, K. Muraki, Semicond. Sci. Technol. 24, 023001 (2009)
R.K. Sundfors, Phys. Rev. B 10, 4244 (1974)
M. Ono, J. Ishihara, G. Sato, S. Matsuzaka, Y. Ohno, H. Ohno, Phys. Rev. B 89, 115308 (2014)
E.A. Chekhovich, M.N. Makhonin, A.I. Tartakovskii, A. Yacoby, H. Bluhm, K.C. Nowack, L.M.K. Vandersypen, Nat. Mater. 12, 494–504 (2013)
R.I. Dzhioev, V.L. Korenev, Phys. Rev. Lett. 99, 037401 (2007)
P. Maletinsky, M. Kroner, A. Imamoglu, Nat. Phys. 5, 407–411 (2009)
E.A. Chekhovich et al., Nat. Nanotechnol. 7, 646–650 (2012)
C. Bulutay, Phys. Rev. B 85, 115313 (2012)
E.A. Chekhovich, M. Hopkinson, M.S. Skolnick, A.I. Tartakovskii, Nat. Commun. 6, 6348 (2015)
D.J. Guerrier, R.T. Harley, Appl. Phys. Lett. 70, 1739–1741 (1997)
G. Salis, D.T. Fuchs, J.M. Kikkawa, D.D. Awschalom, Y. Ohno, H. Ohno, Phys. Rev. Lett. 86, 2677–2680 (2001)
M. Eickhoff, B. Lenzmann, D. Suter, S.E. Hayes, A.D. Wieck, Phys. Rev. B 67, 085308 (2003)
M. Poggio, D.D. Awschalom, Appl. Phys. Lett. 86, 182103 (2005)
H. Knotz, A.W. Holleitner, J. Stephens, R. Myers, D.D. Awschalom, Appl. Phys. Lett. 88, 241918 (2006)
Y. Kondo, M. Ono, S. Matsuzaka, K. Morita, H. Sanada, Y. Ohno, H. Ohno, Phys. Rev. Lett. 101, 207601 (2008)
M. Kawamura et al., Appl. Phys. Lett. 96, 032102 (2010)
M. Ono, J. Ishihara, G. Sato, Y. Ohno, H. Ohno, Appl. Phys. Express 6, 033002 (2013)
D.P. Franke, F.M. Hrubesch, M. Künzl, H.-W. Becker, K.M. Itoh, M. Stutzmann, F. Hoehne, L. Dreher, M.S. Brandt, Phys. Rev. Lett. 115, 057601 (2015)
Hideo Sambe, Phys. Rev. A 7, 2203 (1973)
K. Beloy, Dissertation, University of Nevada, 2009
T. Machida, T. Yamazaki, K. Ikushima, S. Komiyama, Appl. Phys. Lett. 82, 409 (2003)
G. Yusa, K. Muraki, K. Takashina, K. Hashimoto, Y. Hirayama, Nature 434, 1001 (2005)
A. Husain, J. Hone, H.WCh. Postma, X.M.H. Huang, T. Drake, M. Barbic, A. Scherer, M.L. Roukes, Appl. Phys. Lett. 83, 1240–1242 (2003)
Acknowledgements
The authors thank K. Chida, M. Eto, N. Lambert, I. Mahboob, Y. Matsuzaki, G. J. Milburn, W. J. Munro, R. Okuyama, M. Ono, K. Onomitsu, S. Sasaki, S. Shevchenko, and Y. Tokura for fruitful discussions. The authors acknowledge the financial support from Grant-in-Aid for Scientific Research on Innovative Areas No. JP15H05869.
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Okazaki, Y., Yamaguchi, H. (2021). Phonon-Electron-Nuclear Spin Hybrid Systems in an Electromechanical Resonator. In: Hirayama, Y., Ishibashi, K., Nemoto, K. (eds) Hybrid Quantum Systems. Quantum Science and Technology. Springer, Singapore. https://doi.org/10.1007/978-981-16-6679-7_11
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