Perturbation theory for Wannier resonance states affected by ac field
The paper studies the effect of a weak ac field on the Wannier states, which are known to be the metastable states of a quantum particle in a periodic potential subject to a static field. Provided that the photon energy exactly matches the spacing of the Wannier–Stark ladder the system complex quasi...
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Published in | Physics letters. A Vol. 258; no. 4; pp. 383 - 393 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Elsevier B.V
26.07.1999
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Abstract | The paper studies the effect of a weak ac field on the Wannier states, which are known to be the metastable states of a quantum particle in a periodic potential subject to a static field. Provided that the photon energy exactly matches the spacing of the Wannier–Stark ladder the system complex quasienergy spectrum is obtained. It is shown, in particular, that a weak ac field can increase the lifetime of the Wannier states by several orders of magnitude. The analytical results of a perturbation theoretical analysis are compared against the exact numerical calculation of the system spectrum. |
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AbstractList | The paper studies the effect of a weak ac field on the Wannier states, which are known to be the metastable states of a quantum particle in a periodic potential subject to a static field. Provided that the photon energy exactly matches the spacing of the Wannier–Stark ladder the system complex quasienergy spectrum is obtained. It is shown, in particular, that a weak ac field can increase the lifetime of the Wannier states by several orders of magnitude. The analytical results of a perturbation theoretical analysis are compared against the exact numerical calculation of the system spectrum. |
Author | Glück, M. Kolovsky, A.R. Korsch, H.J. |
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Cites_doi | 10.1016/S0370-1573(98)00002-7 10.1103/PhysRevLett.82.1534 10.1209/0295-5075/32/3/009 10.1126/science.282.5394.1686 10.1007/s100530050205 10.1016/S0375-9601(98)00763-4 10.1103/PhysRevB.34.3625 10.1063/1.881845 10.1098/rspa.1932.0165 |
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References | Glück, Kolovsky, Korsch (BIB2) 1998; 249 M. Raizen, C. Solomon, and Qian Niu, Physics Today, No. 7, p.30 (1997); B.P. Anderson, M.A. Kasevich, Science 282 (1998) 1686. D.H. Dunlap, V.M. Kenkre, Phys. Rev. B 34 (1986) 3625; Nguyen Hong Shon, H.N. Nazareno, J. Phys.: Cond. Matter 4 (1992) L611; X.-G. Zhao, R. Jahnke, Q. Niu, Phys. Lett. A 202 (1995) 297; K. Drese, M. Holthaus, Phys. Rev. Lett. 78 (1997) 2932. Glück, Kolovsky, Korsch (BIB3) 1999; 82 M. Glück, A.R. Kolovsky, H.J. Korsch (unpublished). Glück, Kolovsky, Korsch, Moiseyev (BIB6) 1998; 4 G. Zener, Proc. R. Soc. London, Ser. A 137 (1932) 696; L.D. Landau, Phys. Z. Sov. 1 (1932) 46. Holthaus, Ristov, Hone (BIB9) 1995; 32 M. Glück, A.R. Kolovsky, H.J. Korsch, Phys. Rev. E 60 (to appear). Moiseyev (BIB10) 1998; 302 10.1016/S0375-9601(99)00360-6_BIB1 cr-split#-10.1016/S0375-9601(99)00360-6_BIB5.1 cr-split#-10.1016/S0375-9601(99)00360-6_BIB5.2 10.1016/S0375-9601(99)00360-6_BIB4 Glück (10.1016/S0375-9601(99)00360-6_BIB2) 1998; 249 10.1016/S0375-9601(99)00360-6_BIB7 Moiseyev (10.1016/S0375-9601(99)00360-6_BIB10) 1998; 302 10.1016/S0375-9601(99)00360-6_BIB8 Glück (10.1016/S0375-9601(99)00360-6_BIB3) 1999; 82 Glück (10.1016/S0375-9601(99)00360-6_BIB6) 1998; 4 Holthaus (10.1016/S0375-9601(99)00360-6_BIB9) 1995; 32 |
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SubjectTerms | Quantum resonances Quasienergy states Wannier states |
Title | Perturbation theory for Wannier resonance states affected by ac field |
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