Nonlinear phononics using atomically thin membranes

Nature Communications

Volumn 5, Issue , 2014, Pages

  Midtvedt, Daniel ^a,b   Isacsson, Andreas ^a   Croy, Alexander ^a,b  

^a CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

^b MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

GRAPHENE;

ACOUSTIC DATA; CRYSTAL; LATTICE DYNAMICS; MEMBRANE; OPTICAL METHOD; SOUND PROPAGATION; WAVE PROPAGATION;

ACOUSTICS; ARTICLE; ARTIFICIAL MEMBRANE; ATOMICALLY THIN MEMBRANE; CRYSTAL; NONLINEAR SYSTEM; OPTICS; PHONON; PHONONICS; SOUND; SPECTROMETRY;

EID: 84923375593     PISSN: None     EISSN: 20411723     Source Type: Journal    
DOI: 10.1038/ncomms5838     Document Type: Article

References (46)

1. Soljacic, M. & Joannopoulos, J. Enhancement of nonlinear effects using photonic crystals. Nat. Mater. 3, 211-219 (2004).
2. Eichenfield, M., Chan, J., Camacho, R. M., Vahala, K. J. & Painter, O. Optomechanical crystals. Nature 462, 78-82 (2009).
3. Heinrich, G., Ludwig, M., Qian, J., Kubala, B. & Marquardt, F. Collective dynamics in optomechanical arrays. Phys. Rev. Lett. 107, 043603 (2011).
4. Ludwig, M. & Marquardt, F. Quantum many-body dynamics in optomechanical arrays. Phys. Rev. Lett. 111, 073603 (2013).
5. Jaksch, D., Bruder, C., Cirac, J. I., Gardiner, C. W. & Zoller, P. Cold bosonic atoms in optical lattices. Phys. Rev. Lett. 81, 3108-3111 (1998).
6. Bloch, I. Ultracold quantum gases in optical lattices. Nat. Phys. 1, 23-30 (2005).
7. Morsch, O. & Oberthaler, M. Dynamics of Bose-Einstein condensates in optical lattices. Rev. Mod. Phys. 78, 179-215 (2006).
8. Berman, G. P. & Izrailev, F. M. The Fermi-Pasta-Ulam problem: fifty years of progress. Chaos 15, 015104 (2005).
9. Lu, M.-H., Feng, L. & Chen, Y.-F. Phononic crystals and acoustic metamaterials. Mater. Today 12, 34-42 (2009).
10. Balandin, A. A. & Nika, D. L. Phononics in low-dimensional materials. Mater. Today 15, 266-275 (2012).
11. Maldovan, M. Sound and heat revolutions in phononics. Nature 503, 209-217 (2013).
12. Boechler, N., Theocharis, G. & Daraio, C. Bifurcation-based acoustic switching and rectification. Nat. Mater. 10, 665-668 (2011).
13. Smerzi, A., Fantoni, S., Giovanazzi, S. & Shenoy, S. R. Quantum coherent atomic tunneling between two trapped Bose-Einstein condensates. Phys. Rev. Lett. 79, 4950-4953 (1997).
14. Albiez, M. et al. Direct observation of tunneling and nonlinear self-trapping in a single bosonic Josephson junction. Phys. Rev. Lett. 95, 010402 (2005).
15. Zibold, T., Nicklas, E., Gross, C. & Oberthaler, M. K. Classical bifurcation at the transition from Rabi to Josephson dynamics. Phys. Rev. Lett. 105, 204101 (2010).
16. Shim, S.-B., Imboden, M. & Mohanty, P. Synchronized oscillation in coupled nanomechanical oscillators. Science 316, 95-99 (2007).
17. Lifshitz, R. & Cross, M. Nonlinear Dynamics of Nanomechanical and Micromechanical Resonators (Wiley-VCH, 2008).
18. Karabalin, R., Cross, M. & Roukes, M. Nonlinear dynamics and chaos in two coupled nanomechanical resonators. Phys. Rev. B 79, 165309 (2009).
19. Tsioutsios, I., Moser, J., Plaza, J. A. & Bachtold, A. Controlled assembly of graphene sheets and nanotubes: Fabrication of suspended multi-element allcarbon vibrational structures. J. Appl. Phys. 114, 104310 (2013).
20. Okamoto, H. et al. Coherent phonon manipulation in coupled mechanical resonators. Nat. Phys. 9, 480-484 (2013).
21. Faust, T., Rieger, J., Seitner, M. J., Kotthaus, J. P. & Weig, E. M. Coherent control of a classical nanomechanical two-level system. Nat. Phys. 9, 485-488 (2013).
22. Faust, T. et al. Nonadiabatic dynamics of two strongly coupled nanomechanical resonator modes. Phys. Rev. Lett. 109, 037205 (2012).
23. Lee, C., Wei, X., Kysar, J. W. & Hone, J. Measurement of the elastic properties and intrinsic strength of monolayer graphene. Science 321, 385-388 (2008).
24. Lindahl, N. et al. Determination of the bending rigidity of graphene via electrostatic actuation of buckled membranes. Nano Lett. 12, 3526-3531 (2012).
25. Song, X. et al. Stamp transferred suspended graphene mechanical resonators for radio frequency electrical readout. Nano Lett. 12, 198-202 (2012).
26. Eichler, A. et al. Nonlinear damping in mechanical resonators made from carbon nanotubes and graphene. Nat. Nanotechnol. 6, 339-342 (2011).
27. Weber, P., Güttinger, J., Tsioutsios, I., Chang, D. E. & Bachtold, A. Coupling graphene mechanical resonators to superconducting microwave cavities. Nano Lett. 14, 2854-2860 (2014).
28. Atalaya, J., Isacsson, A. & Kinaret, J. M. Continuum elastic modeling of graphene resonators. Nano Lett. 8, 4196-4200 (2008).
29. Poot, M. & van der Zant, H. S. J. Mechanical systems in the quantum regime. Phys. Rep. 511, 273-335 (2012).
30. Viola Kusminskiy, S., Campbell, D. K., Castro Neto, A. H. & Guinea, F. Pinning of a two-dimensional membrane on top of a patterned substrate: the case of graphene. Phys. Rev. B 83, 165405 (2011).
31. Medvedyeva, M. V. & Blanter, Y. M. Eigenfrequencies of the randomly pinned drum and conductivity of graphene. Phys. Rev. B 88, 125423 (2013).
32. Landau, L. D. & Lifshitz, E. M. Theory of Elasticity 3rd edn (Butterworth-Heinemann, 1986).
33. Roldán, R., Fasolino, A., Zakharchenko, K. V. & Katsnelson, M. I. Suppression of anharmonicities in crystalline membranes by external strain. Phys. Rev. B 83, 174104 (2011).
34. Ashcroft, N. W. & Mermin, N. D. Solid State Physics (Saunders College, 1976).
35. Briggs, J. S. & Eisfeld, A. Coherent quantum states from classical oscillator amplitudes. Phys. Rev. A 85, 052111 (2012).
36. Ananikian, D. & Bergeman, T. Gross-Pitaevskii equation for bose particles in a double-well potential: two-mode models and beyond. Phys. Rev. A 73, 013604 (2006).
37. Eilbeck, J. C. & Johansson, M. in Localization and Energy Transfer in Nonlinear Systems. (eds Vazquez, L., MacKay, R. S. & Zorzano, M. P.) (World Scientific Publishing, 2003).
38. Wu, B. & Niu, Q. Nonlinear Landau-Zener tunneling. Phys. Rev. A 61, 023402 (2000).
39. 2. Europhys. Lett. 91, 56001 (2010).
40. Kudin, K. N., Scuseria, G. E. & Yakobson, B. I. C2F, BN, and C nanoshell elasticity from ab initio computations. Phys. Rev. B 64, 235406 (2001).
41. Reserbat-Plantey, A. et al.Strain superlattices and macroscale suspension of graphene induced by corrugated substrates. Preprint at http://arxiv.org/abs/1404.5783.
42. Eilbeck, J. C., Lomdahl, P. S. & Scott, A. C. The discrete self-trapping equation. Phys. D 16, 318-338 (1985).
43. Imboden, M. & Mohanty, P. Dissipation in nanoelectromechanical systems. Phys. Rep. 534, 89-146 (2014).
44. Voje, A., Kinaret, J. M. & Isacsson, A. Generating macroscopic superposition states in nanomechanical graphene resonators. Phys. Rev. B 85, 205415 (2012).
45. Voje, A., Croy, A. & Isacsson, A. Multi-phonon relaxation and generation of quantum states in a nonlinear mechanical oscillator. New J. Phys. 15, 053041 (2013).
46. Voje, A., Isacsson, A. & Croy, A. Nonlinear-dissipation-induced entanglement of coupled nonlinear oscillators. Phys. Rev. A 88, 022309 (2013).