Abstract.
We establish analogy between a microwave ionization of Rydberg atoms and a charge transport through a chaotic quantum dot induced by a monochromatic field in a regime with a potential barrier between dot contacts. We show that the quantum coherence leads to dynamical localization of electron excitation in energy so that only a finite number of photons is absorbed inside the dot. The theory developed determines the dependence of localization length on dot and microwave parameters showing that the microwave power can switch the dot between metallic and insulating regimes. ultiphoton ionization and excitation to highly excited states (e.g., Rydberg states)
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B.V. Chirikov, in Chaos and Quantum Physics, Les Houches Lecture Series 52, edited by M.-J. Giannoni, A. Voros, J. Zinn-Justin (North-Holland, Amsterdam, 1991), p. 443
G. Casati, B.V. Chirikov, J. Ford, F.M. Izrailev, Lecture Notes in Physics 93, 334 (1979)
D.L. Shepelyansky, preprint Inst. of Nucl. Phys. N. 83-61 (Novosibirsk, 1983); G. Casati, B.V. Chirikov, D.L. Shepelyansky, Phys. Rev. Lett. 53, 2525 (1984)
E.J. Galvez, B.E. Sauer, L. Moorman, P.M. Koch, D. Richards, Phys. Rev. Lett. 61, 2011 (1988)
J.E. Bayfield, G. Casati, I. Guarneri, D.W. Sokol, Phys. Rev. Lett. 63, 364 (1989)
M. Arndt, A. Buchleitner, R.N. Mantegna, H. Walther, Phys. Rev. Lett. 67, 2435 (1991)
H. Maeda, T.F. Gallagher, Phys. Rev. Lett. 93, 193002 (2004)
F.L. Moore, J.C. Robinson, C.F. Bharucha, B. Sundaram, M.G. Raizen, Phys. Rev. Lett. 75, 4598 (1995)
N.B. Delone, V.P. Krainov, D.L. Shepelyansky, Sov. Phys. Uspekhy 26, 551 (1983)
Th. Zimmermann, L.S. Cederbaum, H.-D. Meyer, H. Köppel, J. Phys. Chem. 91, 4446 (1987)
H. Friedrich, D. Wintgen, Phys. Rep. 1983, 37 (1989)
I.P. Kornfeld, S.V. Fomin, Ya. G. Sinai, Ergodic theory (Springer, Berlin, 1982)
O. Bohigas, M.J. Giannoni, C. Schmit, Phys. Rev. Lett. 52, 1 (1984)
M.V. Berry, M. Robnik, J. Phys. A 19, 1365 (1986)
D. Shepelyansky, Physica D 28, 103 (1987)
G. Benenti, G. Casati, D.L. Shepelyansky, Eur. Phys. J. D 5, 311 (1999)
C.W.J. Beenakker, Rev. Mod. Phys. 69, 731 (1997)
Y. Alhassid, Rev. Mod. Phys. 72, 895 (2000)
M. Robnik, J. Phys. A 16, 3971 (1983); M. Robnik, J. Phys. A 17, 1049 (1984)
T. Prosen, M. Robnik, J. Phys. A 26, L319 (1993); T. Prosen, Ann. Phys. (NY) 235, 115 (1994)
Equation (3) assumes that the energy excitation ħωlφ remains small compared to EF, at large ω it gives a noticeable fraction of EF that leads to horizontal error bars in Figure 3
Also the size of field oscillations should be larger than the wavelength implying epsilon/(m ω2) > R/nF1/2
R. Artuso, G. Casati, I. Guarneri, Phys. Rev. E 51, R3807 (1995)
While in experiments it may be not easy to vary directly a dot shape, it may be possible to introduce a magnetic field which should make the dynamics quasi-integrable as soon as the Larmor radius becomes much smaller than the dot size. For a dot with parameters \({\cal A}_0\) and ne0 discussed above this corresponds to a magnetic field B ∼1 T
D.J. Thouless, Phys. Rev. Lett. 39, 1167 (1977)
A.A. Bykov, G.M. Gusev, Z.D. Kvon, D.I. Lubyshev, V.P. Migal’, JETP Lett. 49, 13 (1989)
R. Deblock, Y. Noat, B. Reulet, H. Bouchiat, D. Mailly, Phys. Rev. B 65, 075301 (2002)
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Prosen, T., Shepelyansky, D. Microwave control of transport through a chaotic mesoscopic dot. Eur. Phys. J. B 46, 515–518 (2005). https://doi.org/10.1140/epjb/e2005-00282-4
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DOI: https://doi.org/10.1140/epjb/e2005-00282-4