First experimental evidence for quantum echoes in scattering systems

Physical Review Letters

Volumn 93, Issue 13, 2004, Pages

  Dembowski, C ^a   Dietz, B ^a   Friedrich, T ^a   Graf H D ^a   Heine, A ^a   Mejia Monasterio C ^b   Miski Oglu, M ^a   Richter, A ^a   Seligman, T H ^c,d  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^b Center for Nonlinear and Complex Systems   (Italy)

^c UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

^d CENTRO INTERNACIONAL DE CIENCIAS   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; ELECTROMAGNETIC WAVE SCATTERING; FOURIER TRANSFORMS; MATHEMATICAL MODELS; MICROWAVES; NANOSTRUCTURED MATERIALS; PARAMETER ESTIMATION; PERTURBATION TECHNIQUES; RESONATORS; SUPERCONDUCTING MATERIALS; THERMAL EFFECTS; WAVEGUIDES;

CHAOTIC LAYERS; MICROWAVE BILLIARDS; QUANTUM ECHOES; SUPERCONDUCTING CAVITY;

QUANTUM THEORY;

EID: 19644390027     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.93.134102     Document Type: Article

References (24)

1. Ya. G. Sinai, Russ. Math. Surv. 25, 137 (1970).
2. A. Richter, in Emerging Applications of Number Theory, The IMA Volumes in Mathematics and Its Applications Vol. 109, edited by D.A. Hejhal et al. (Springer, New York, 1999), p. 479.
3. H.-J. Stöckmann, Quantum Chaos - An Introduction (Cambridge University Press, Cambridge, 1999).
4. S. Sridhar and E. J. Heller, Phys. Rev. A 46, R1728 (1992).
5. T. Guhr, A. Müller-Groeling, and H. A. Weidenmüller, Phys. Rep. 299, 189 (1998).
6. Y. Imry, Introduction to Mesoscopic Physics (Oxford University Press, Oxford, 2002).
7. J. Bürki, R. E. Goldstein, and C. A. Stafford, Phys. Rev. Lett. 91, 254501 (2003).
8. H. Alt et al., Phys. Rev. Lett. 74, 62 (1995).
9. J. Stein, H.-J. Stöckmann, and U. Stoffregen, Phys. Rev. Lett. 75, 53 (1995).
10. R. Alt et al., Phys. Rev. E 55, 6674 (1997).
11. R. Schäfer et al., J. Phys. A 36, 3289 (2003).
12. E. Doron, U. Smilansky, and A. Frenkel, Phys. Rev. Lett. 65, 3072 (1990).
13. Y.-H. Kim et al., Phys. Rev. B 65, 165317 (2002).
14. W. Li, L. E. Reichl, and B. Wu, Phys. Rev. E 65, 056220 (2002).
15. J. A. Méndez-Bermúdez et al., Phys. Rev. E 66, 046207 (2002).
16. G. A. Luna-Acosta, K. Na, and L. E Reichl, Phys. Rev. E 53, 3271 (1996).
17. C. Jung, C. Mejía-Monasterio, and T. H. Seligman, Europhys. Lett. 55, 616 (2001).
18. C. Jung et al., New J. Phys. 6, 48 (2004).
19. C. Mejía-Monasterio, Ph.D. thesis, University of Mexico (UNAM), 2001, www.cicc.uimm.mx/~mejia/thesis.html
20. It is essential to note that the quantum, echoes we have observed have no relation to the so-called quantum Loschmidt echoes, i.e., the time evolution resulting from the overlap of the eigenstates of two slightly different Hamiltonians; see, e.g., H.M. Pastawski, P. R. Levstein, and G. Usaj, Phys. Rev. Lett. 75, 4310 (1995); T. Prosen, T. H. Seligman, and M. Znidaric, Prog. Theor. Phys. Suppl. 150, 200 (2003).
21. It is essential to note that the quantum, echoes we have observed have no relation to the so-called quantum Loschmidt echoes, i.e., the time evolution resulting from the overlap of the eigenstates of two slightly different Hamiltonians; see, e.g., H.M. Pastawski, P. R. Levstein, and G. Usaj, Phys. Rev. Lett. 75, 4310 (1995); T. Prosen, T. H. Seligman, and M. Znidaric, Prog. Theor. Phys. Suppl. 150, 200 (2003).
22. C. Jung, C. Lipp, and T. H. Seligman, Ann. Phys. (N.Y.) 275, 151 (1999).
23. A. J. Lichtenberg and M. A. Lieberman, Regular and Chaotic Dynamics (Springer, Berlin, 1983).
24. C. Dembowski et al., Phys. Rev. E 62, R4516 (2000).