Universal response of quantum systems with chaotic dynamics

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The prediction of the response of a closed system to external perturbations is one of the central problems in quantum mechanics, and in this respect, the local density of states (LDOS) provides an in-depth description of such a response. The LDOS is the distribution of the overlaps squared connectin...

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Autor principal: Wisniacki, D.A
Otros Autores: Ares, N., Vergini, E.G
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2010
Acceso en línea:Registro en Scopus
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245 1 0 |a Universal response of quantum systems with chaotic dynamics 
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270 1 0 |m Wisniacki, D. A.; Departamento de Física J. J. Giambiagi, FCEyN, Ciudad Universitaria, C1428EGA Buenos Aires, Argentina 
506 |2 openaire  |e Política editorial 
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520 3 |a The prediction of the response of a closed system to external perturbations is one of the central problems in quantum mechanics, and in this respect, the local density of states (LDOS) provides an in-depth description of such a response. The LDOS is the distribution of the overlaps squared connecting the set of eigenfunctions with the perturbed one. Here, we show that in the case of closed systems with classically chaotic dynamics, the LDOS is a Breit-Wigner distribution under very general perturbations of arbitrary high intensity. Consequently, we derive a semiclassical expression for the width of the LDOS which is shown to be very accurate for paradigmatic systems of quantum chaos. This Letter demonstrates the universal response of quantum systems with classically chaotic dynamics. © 2010 The American Physical Society.  |l eng 
593 |a Departamento de Física J. J. Giambiagi, FCEyN, Ciudad Universitaria, C1428EGA Buenos Aires, Argentina 
593 |a Departamento de Física, Comisión Nacional de Energía Atómica, Avenida Libertador 8250, Buenos Aires, Argentina 
593 |a Departamento de Física, E.T.S.I. Agrónomos, Universidad Politécnica de Madrid, 28040-Madrid, Spain 
690 1 0 |a CENTRAL PROBLEMS 
690 1 0 |a CHAOTIC DYNAMICS 
690 1 0 |a CLOSED SYSTEMS 
690 1 0 |a EIGEN FUNCTION 
690 1 0 |a EXTERNAL PERTURBATIONS 
690 1 0 |a HIGH INTENSITY 
690 1 0 |a LOCAL DENSITY OF STATE 
690 1 0 |a QUANTUM CHAOS 
690 1 0 |a QUANTUM MECHANICS 
690 1 0 |a QUANTUM SYSTEM 
690 1 0 |a WIGNER DISTRIBUTION 
690 1 0 |a EIGENVALUES AND EIGENFUNCTIONS 
690 1 0 |a PROBABILITY DISTRIBUTIONS 
690 1 0 |a QUANTUM ELECTRONICS 
690 1 0 |a QUANTUM OPTICS 
690 1 0 |a CHAOTIC SYSTEMS 
700 1 |a Ares, N. 
700 1 |a Vergini, E.G. 
773 0 |d 2010  |g v. 104  |k n. 25  |p Phys Rev Lett  |x 00319007  |w (AR-BaUEN)CENRE-386  |t Physical Review Letters 
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