Loschmidt echo and the local density of states

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Loschmidt echo (LE) is a measure of reversibility and sensitivity to perturbations of quantum evolutions. For weak perturbations its decay rate is given by the width of the local density of states (LDOS). When the perturbation is strong enough, it has been shown in chaotic systems that its decay is...

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Autor principal: Ares, N.
Otros Autores: Wisniacki, D.A
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2009
Acceso en línea:Registro en Scopus
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Biblioteca Central Dr. Luis F. Leloir (FCEN) de Universidad de Buenos Aires
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245 1 0 |a Loschmidt echo and the local density of states 
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270 1 0 |m Ares, N.; Departamento de Física J. J. Giambiagi, FCEN, Ciudad Universitaria, C1428EGA Buenos Aires, Argentina 
506 |2 openaire  |e Política editorial 
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504 |a Ares, N., Wisniacki, D.A., 
520 3 |a Loschmidt echo (LE) is a measure of reversibility and sensitivity to perturbations of quantum evolutions. For weak perturbations its decay rate is given by the width of the local density of states (LDOS). When the perturbation is strong enough, it has been shown in chaotic systems that its decay is dictated by the classical Lyapunov exponent. However, several recent studies have shown an unexpected nonuniform decay rate as a function of the perturbation strength instead of that Lyapunov decay. Here we study the systematic behavior of this regime in perturbed cat maps. We show that some perturbations produce coherent oscillations in the width of LDOS that imprint clear signals of the perturbation in LE decay. We also show that if the perturbation acts in a small region of phase space (local perturbation) the effect is magnified and the decay is given by the width of the LDOS. © 2009 The American Physical Society.  |l eng 
593 |a Departamento de Física J. J. Giambiagi, FCEN, Ciudad Universitaria, C1428EGA Buenos Aires, Argentina 
690 1 0 |a CAT MAP 
690 1 0 |a COHERENT OSCILLATIONS 
690 1 0 |a DECAY RATE 
690 1 0 |a LOCAL DENSITY OF STATE 
690 1 0 |a LOCAL PERTURBATION 
690 1 0 |a LOSCHMIDT ECHOES 
690 1 0 |a LYAPUNOV DECAY 
690 1 0 |a LYAPUNOV EXPONENT 
690 1 0 |a NONUNIFORM 
690 1 0 |a PERTURBATION STRENGTH 
690 1 0 |a PHASE SPACES 
690 1 0 |a QUANTUM EVOLUTION 
690 1 0 |a SMALL REGION 
690 1 0 |a WEAK PERTURBATION 
690 1 0 |a CHAOTIC SYSTEMS 
690 1 0 |a DIFFERENTIAL EQUATIONS 
690 1 0 |a PHASE SPACE METHODS 
690 1 0 |a DECAY (ORGANIC) 
700 1 |a Wisniacki, D.A. 
773 0 |d 2009  |g v. 80  |k n. 4  |p Phys. Rev. E Stat. Nonlinear Soft Matter Phys.  |x 15393755  |t Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 
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