Controlling a quantum system via its boundary conditions
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Abstract
We numerically study a particle in a box with moving walls. In the case where the walls are oscillating sinusoidally with a small amplitude, we show that states up to the fourth state can be populated with more than 80 percent population, while higher lying states can also be selectively excited. This work introduces a way of controlling quantum systems which does not rely on (dipole) selection rules.
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References
- 1.J.F. Haase, Z.Y. Wang, J. Casanova, M.B. Plenio, Phys. Rev. Lett. 121, 050402 (2018).ADSMathSciNetCrossRefGoogle Scholar
- 2.N.V. Vitanov, A.A. Rangelov, B.W. Shore, K. Bergmann, Rev. Mod. Phys. 89, 015006 (2017).ADSCrossRefGoogle Scholar
- 3.M. Bukov, S. Gopalakrishnan, M. Knap, E. Demler, Phys. Rev. Lett. 115, 205301 (2015).ADSCrossRefGoogle Scholar
- 4.M. Holthaus, J. Phys. B: At. Mol. Opt. Phys. 49, 013001 (2015).ADSCrossRefGoogle Scholar
- 5.T. Stöferle, H. Moritz, Ch Schori, M. Köhl, T. Esslinger, Phys. Rev. Lett. 92, 130403 (2004).ADSCrossRefGoogle Scholar
- 6.S.D. Sarkar, R. Sensarma, K. Sengupta, Phys. Rev. B 92, 174529 (2015).ADSCrossRefGoogle Scholar
- 7.H. Lignier, A. Zenesini, D. Ciampini, O. Morsch, E. Arimondo, S. Montangero, G. Pupillo, R. Fazio, Phys. Rev. A 79, 041601 (2009).ADSCrossRefGoogle Scholar
- 8.A. Rae, Quantum Physics: a Beginner’s Guide (Oneworld Publications, 2005).Google Scholar
- 9.D.J. Griffiths, Introduction to Quantum Mechanics (Cambridge University Press, 2018).Google Scholar
- 10.A. Matzkin, J. Phys. A: Math. Theor. 51, 095303 (2018).ADSMathSciNetCrossRefGoogle Scholar
- 11.D.N. Pinder, Am. J. Phys. 58, 54 (1990).ADSCrossRefGoogle Scholar
- 12.S.W. Doescher, M.H. Rice, Am. J. Phys. 37, 1246 (1969).ADSCrossRefGoogle Scholar
- 13.V.V. Dodonov, V.I. Manko, D.E. Nikonov, Phys. Lett. A 162, 359 (1992).ADSMathSciNetCrossRefGoogle Scholar
- 14.V.V. Dodonov, A.B. Klimov, D.E. Nikonov, J. Math. Phys. 34, 3391 (1993).ADSMathSciNetCrossRefGoogle Scholar
- 15.A.J. Makowski, S.T. Dembinski, Phys. Lett. A 154, 217 (1991).ADSMathSciNetCrossRefGoogle Scholar
- 16.A.J. Makowski, J. Phys. A 25, 3419 (1992).ADSMathSciNetCrossRefGoogle Scholar
- 17.A.J. Makowski, P. Peplowski, Phys. Lett. A 163, 143 (1992).ADSCrossRefGoogle Scholar
- 18.K. Cooney, https://arXiv:1703.05282 (2017)
- 19.L. Tarr, Quantum systems with time-dependent boundaries, Ph.D. thesis, Reed College, 2005.Google Scholar
- 20.A. Munier, J.R. Burgan, M. Felix, P. Peplowski, J. Math. Phys. 22, 1219 (1981).ADSMathSciNetCrossRefGoogle Scholar
- 21.A. Matzkin, S.V. Mousavi, M. Waegell, Phys. Lett. A 382, 3347 (2018).ADSMathSciNetCrossRefGoogle Scholar
- 22.
- 23.S. Di Martino, F. Anzà, P. Facchi, A. Kossakowski, G. Marmo, A. Messina, B. Militello, S. Pascazio, J. Phys. A: Math. Theor. 46, 365301 (2015).CrossRefGoogle Scholar
- 24.M.V. Berry, J. Phys. A 29, 6617 (1996).ADSMathSciNetCrossRefGoogle Scholar
- 25.M.V. Berry, Phys. World 14, 39 (2001).ADSCrossRefGoogle Scholar
- 26.I. Marzoli, F. Saif, I. Bialynicki-Birula, O.M. Friesch, A.E. Kaplan, W.P. Schleich, Acta Phys. Slov. 48, 323 (1998).Google Scholar
- 27.D.M. Greenberger, Physica B 151, 374 (1988).CrossRefGoogle Scholar
- 28.F. Anzà, A. Messina, B. Militello, Open Syst. Inf. Dyn. 26, 1950006 (2019).MathSciNetCrossRefGoogle Scholar
- 29.N. Mann, M. Reza Bakhtiari, A. Pelster, M. Thorwart, Phys. Rev. Lett. 120, 063605 (2018).ADSCrossRefGoogle Scholar
- 30.H.K. Lau, A. Eisfeld, J.M. Rost, https://arXiv:1803.00150 (2018)
- 31.Y.I. Sohn, S. Meesala, B. Pingault, H.A. Atikian, J. Holzgrafe, M. Gündoğan, C. Stavrakas, M.J. Stanley, A. Sipahigil, J. Choi, M. Zhang, J.L. Pacheco, J. Abraham, E. Bielejec, M.D. Lukin, M. Atatüre, M. Lončar, Nat. Commun. 9, 2012 (2018).ADSCrossRefGoogle Scholar
- 32.F. Dahms, B.P. Fingerhut, E.T.J. Nibbering, E. Pines, T. Elsaesser, Science 357, 491 (2017).ADSCrossRefGoogle Scholar
- 33.M. Thämer, L. De Marco, K. Ramasesha, A. Mandal, A. Tokmakoff, Science 350, 78 (2015).ADSCrossRefGoogle Scholar
- 34.T. Hida, Brownian Motion (Springer-Verlag, 1980).Google Scholar
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