Abstract
We investigate the effects of a movable mirror (cantilever) of an optical cavity on the superfluid properties and the Mott phase boundary of a Bose-Einstein condensate (BEC) in an optical lattice. The Bloch energy, effective mass, Bogoliubov energy and the superfluid fraction are modified due to the mirror motion. The mirror motion is also found to modify the Mott-superfluid phase boundaries. This study reveals that the mirror emerges as a new handle to coherently control the superfluid properties of the BEC.
[1] O. Morsch, M. Oberthaler, Rev. Mod. Phys. 78, 179 (2006) http://dx.doi.org/10.1103/RevModPhys.78.17910.1103/RevModPhys.78.179Search in Google Scholar
[2] B. Nagorny, Tn. Elsässer, A. Hemmerich, Phys. Rev. Lett. 91, 153003 (2003) http://dx.doi.org/10.1103/PhysRevLett.91.15300310.1103/PhysRevLett.91.153003Search in Google Scholar
[3] J. A. Sauer, K. M. Fortier, M. S. Chang, C. D. Hamley, M. S. Chapman, Phys. Rev. A 69, 051804(R) (2004) http://dx.doi.org/10.1103/PhysRevA.69.05180410.1103/PhysRevA.69.051804Search in Google Scholar
[4] A. Öttl, S. Ritter, M. Köhl, T. Esslinger, Phys. Rev. Lett. 95, 090404 (2005) http://dx.doi.org/10.1103/PhysRevLett.95.09040410.1103/PhysRevLett.95.090404Search in Google Scholar
[5] F. Brennecke, T. Donner, S. Ritter, T. Bourdel, M. Köhl, T. Esslinger, Nature 450, 268 (2007) http://dx.doi.org/10.1038/nature0612010.1038/nature06120Search in Google Scholar
[6] Y. Colombe, T. Steinmetz, G. Dubois, F. Linke, D. Hunger, J. Reichel, Nature 450, 272 2007 10.1038/nature06331Search in Google Scholar
[7] P. Horak, S. M. Barnett, H. Ritsch, Phys. Rev. A 61, 033609 (2000) http://dx.doi.org/10.1103/PhysRevA.61.03360910.1103/PhysRevA.61.033609Search in Google Scholar
[8] P. Horak, H. Ritsch, Phys. Rev. A 63, 023603 (2001) http://dx.doi.org/10.1103/PhysRevA.63.02360310.1103/PhysRevA.63.023603Search in Google Scholar
[9] A. Griessner, D. Jaksch, P. Zoller, J. Phys. B 37, 1419 (2004) http://dx.doi.org/10.1088/0953-4075/37/7/00410.1088/0953-4075/37/7/004Search in Google Scholar
[10] C. Maschler, H. Ritsch, Opt. Comm. 243, 145 (2004) http://dx.doi.org/10.1016/j.optcom.2004.10.03810.1016/j.optcom.2004.10.038Search in Google Scholar
[11] C. Maschler, H. Ritsch, Phys. Rev. Lett. 95, 260401 (2005) http://dx.doi.org/10.1103/PhysRevLett.95.26040110.1103/PhysRevLett.95.260401Search in Google Scholar
[12] I. B. Mekhov, C. Maschler, H. Ritsch, Nature Physics 3, 319 (2007) http://dx.doi.org/10.1038/nphys57110.1038/nphys571Search in Google Scholar
[13] W. Chen, D. Meiser, P. Meystre, Phys. Rev. A 71, 023812 (2007) http://dx.doi.org/10.1103/PhysRevA.75.02381210.1103/PhysRevA.75.023812Search in Google Scholar
[14] A. Bhattacherjee, Optics Comm. 281, 3004 (2008) http://dx.doi.org/10.1016/j.optcom.2008.01.03910.1016/j.optcom.2008.01.039Search in Google Scholar
[15] A. Bhattacherjee, T. Kumar, M. Mohan, Cent. Eur. J. Phys. 8, 850 (2010) http://dx.doi.org/10.2478/s11534-009-0158-x10.2478/s11534-009-0158-xSearch in Google Scholar
[16] J. Larson et al., New J. Phys. 10, 045002 (2008) http://dx.doi.org/10.1088/1367-2630/10/4/04500210.1088/1367-2630/10/4/045002Search in Google Scholar
[17] G. Chen, X. Wang, J.-Q. Liang, Z.D. Wang, Phys. Rev. A 78, 023634 (2008) http://dx.doi.org/10.1103/PhysRevA.78.02363410.1103/PhysRevA.78.023634Search in Google Scholar
[18] M. J. Bhaseen et. al., Phys. Rev. A 85, 013817 (2012) http://dx.doi.org/10.1103/PhysRevA.85.01381710.1103/PhysRevA.85.013817Search in Google Scholar
[19] M. J. Bhaseen et. al., Phys. Rev. Lett. 105, 043001 (2010) http://dx.doi.org/10.1103/PhysRevLett.105.04300110.1103/PhysRevLett.105.043001Search in Google Scholar
[20] Ni. Liu et. al., Phys. Rev. A 78, 023634 (2008) http://dx.doi.org/10.1103/PhysRevA.78.02363410.1103/PhysRevA.78.023634Search in Google Scholar
[21] Ni. Liu et. al., Phys. Rev. A 83, 033601 (2011) http://dx.doi.org/10.1103/PhysRevA.83.03360110.1103/PhysRevA.83.033601Search in Google Scholar
[22] T. Corbitt, N. Mavalvala, J. Opt. B: Quantum Semiclass. Opt. 6, S675 (2004) http://dx.doi.org/10.1088/1464-4266/6/8/00810.1088/1464-4266/6/8/008Search in Google Scholar
[23] T. Corbitt et al., Phy. Rev. Lett. 98, 150802 (2007) http://dx.doi.org/10.1103/PhysRevLett.98.15080210.1103/PhysRevLett.98.150802Search in Google Scholar
[24] C. Höhberger-Metzger, K. Karrai, Nature 432, 1002 (2004) http://dx.doi.org/10.1038/nature0311810.1038/nature03118Search in Google Scholar
[25] S. Gigan et al., Nature 444, 67 (2006) http://dx.doi.org/10.1038/nature0527310.1038/nature05273Search in Google Scholar
[26] O. Arcizet et al., Nature 444, 71 (2006) http://dx.doi.org/10.1038/nature0524410.1038/nature05244Search in Google Scholar
[27] D. Kleckner, D. Bouwmeester, Nature 444, 75 (2006) http://dx.doi.org/10.1038/nature0523110.1038/nature05231Search in Google Scholar
[28] I. Favero et al., Appl. Phys. Lett. 90, 104101 (2007) http://dx.doi.org/10.1063/1.271118110.1063/1.2711181Search in Google Scholar
[29] C. Regal, J. D. Teufel, K. Lehnert, Nature Physics 4, 555 (2008) http://dx.doi.org/10.1038/nphys97410.1038/nphys974Search in Google Scholar
[30] T. Carmon et al., Phys. Rev. Lett. 94, 223902 (2005) http://dx.doi.org/10.1103/PhysRevLett.94.22390210.1103/PhysRevLett.94.223902Search in Google Scholar
[31] A. Schliesser et al., Phys. Rev. Lett. 97, 243905 (2006) http://dx.doi.org/10.1103/PhysRevLett.97.24390510.1103/PhysRevLett.97.243905Search in Google Scholar
[32] J. D. Thompson et al., Nature 452, 72 (2008) http://dx.doi.org/10.1038/nature0671510.1038/nature06715Search in Google Scholar
[33] F. Brennecke et al., Science 322, 235 (2008) http://dx.doi.org/10.1126/science.116321810.1126/science.1163218Search in Google Scholar
[34] K. W. Murch et al., Nature Physics 4, 561 (2008) http://dx.doi.org/10.1038/nphys96510.1038/nphys965Search in Google Scholar
[35] A. Bhattacherjee, Phys. Rev. A 80, 043607 (2009) http://dx.doi.org/10.1103/PhysRevA.80.04360710.1103/PhysRevA.80.043607Search in Google Scholar
[36] A. Bhattacherjee, J. Phys. B. 43, 205301, (2010) http://dx.doi.org/10.1088/0953-4075/43/20/20530110.1088/0953-4075/43/20/205301Search in Google Scholar
[37] P. Treutlein et al., Phys. Rev. Lett. 99, 140403 (2007) http://dx.doi.org/10.1103/PhysRevLett.99.14040310.1103/PhysRevLett.99.140403Search in Google Scholar
[38] G. Szirmai, D. Nagy, P. Domokos, Phys. Rev. A 81, 043639 (2010) http://dx.doi.org/10.1103/PhysRevA.81.04363910.1103/PhysRevA.81.043639Search in Google Scholar
[39] D. Hunger et al., Phys. Rev. Lett. 104, 143002 (2010) http://dx.doi.org/10.1103/PhysRevLett.104.14300210.1103/PhysRevLett.104.143002Search in Google Scholar
[40] B. Chen et al., Phys Rev. A 83, 055803 (2011) http://dx.doi.org/10.1103/PhysRevA.83.05580310.1103/PhysRevA.83.055803Search in Google Scholar
[41] G. De. Chiara et al., Phys. Rev. A 83, 052324 (2011) http://dx.doi.org/10.1103/PhysRevA.83.05232410.1103/PhysRevA.83.052324Search in Google Scholar
[42] S. K. Steinke et al. Phys. Rev. A 84, 023834 (2011) http://dx.doi.org/10.1103/PhysRevA.84.02383410.1103/PhysRevA.84.023834Search in Google Scholar
[43] D. Hunger et al., Comptes Rendus Physique 12, 871 (2011) http://dx.doi.org/10.1016/j.crhy.2011.04.01510.1016/j.crhy.2011.04.015Search in Google Scholar
[44] B. Chen et al., J. Opt. Soc. Am. 28, 2007 (2011) http://dx.doi.org/10.1364/JOSAB.28.00200710.1364/JOSAB.28.002007Search in Google Scholar
[45] K. Zhang et al., Phys. Rev. A 81, 013802 (2010) http://dx.doi.org/10.1103/PhysRevA.81.01380210.1103/PhysRevA.81.013802Search in Google Scholar
[46] S. Singh, M. Bhattacharya, O. Dutta, P. Meystre, Phys. Rev. Lett. 101, 263603 (2008) http://dx.doi.org/10.1103/PhysRevLett.101.26360310.1103/PhysRevLett.101.263603Search in Google Scholar
[47] C. Genes, D. Vitali, P. Tombesi, Phys. Rev. A 77, 050307 (2008) http://dx.doi.org/10.1103/PhysRevA.77.05030710.1103/PhysRevA.77.050307Search in Google Scholar
[48] H. Ian, Z. R. Gong, Y. Liu, C. P. Sun, F. Nori, Phys. Rev. A 78, 013824 (2008) http://dx.doi.org/10.1103/PhysRevA.78.01382410.1103/PhysRevA.78.013824Search in Google Scholar
[49] A. A. Geraci, J. Kitching, Phys. Rev. A 80, 032317 (2009) http://dx.doi.org/10.1103/PhysRevA.80.03231710.1103/PhysRevA.80.032317Search in Google Scholar
[50] K. Hammerer et al., Phys. Rev. Lett. 103, 063005 (2009) http://dx.doi.org/10.1103/PhysRevLett.103.06300510.1103/PhysRevLett.103.063005Search in Google Scholar
[51] D. Meiser, P. Meystre, Phys. Rev. A 73, 033417 (2006) http://dx.doi.org/10.1103/PhysRevA.73.03341710.1103/PhysRevA.73.033417Search in Google Scholar
[52] A. M. Rey et. al., J. Phys. B: At. Mol. Opt. Phys. 36, 825 (2003) http://dx.doi.org/10.1088/0953-4075/36/5/30410.1088/0953-4075/36/5/304Search in Google Scholar
[53] R. Roth, K. Burnett, Phys. Rev. A 67, 031602 (2003) http://dx.doi.org/10.1103/PhysRevA.67.03160210.1103/PhysRevA.67.031602Search in Google Scholar
© 2012 Versita Warsaw
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.