Quantum chaos, dynamical stability and decoherence
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| Format: | Artículo científico |
| Language: | en |
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Sociedade Brasileira de Física
2005
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| _version_ | 1876488014825259008 |
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| author | Tomaz Prosen |
| author_facet | Tomaz Prosen |
| contents | Quantum chaos, dynamical stability and decoherence Tomaz Prosen Giulio Casati Física, Astronomía y Matemáticas We discuss the stability of quantum motion under systems perturbations in the light of the correspondingclassical behavior. In particular we focus our attention on the so called fidelity or Loschmidt echo, its relationwith the decay of correlations, and discuss the quantum-classical correspondence. We then report on thenumerical simulation of the double-slit experiment, where the initial wave-packet is bounded inside a billiarddomain with perfectly reflecting walls. If the shape of the billiard is such that the classical ray dynamics is regular,we obtain interference fringes whose visibility can be controlled by changing the parameters of the initialstate. However, if we modify the shape of the billiard thus rendering classical (ray) dynamics fully chaotic,the interference fringes disappear and the intensity on the screen becomes the (classical) sum of intensities forthe two corresponding one-slit experiments. Thus we show a clear and fundamental example in which transitionto chaotic motion in a deterministic classical system, in absence of any external noise, leads to a profoundmodification in the quantum behavior. 2005 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46435206 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.2A Vol.35 |
| format | Artículo científico |
| id | redalyc_46435206 |
| institution | Redalyc |
| language | en |
| publishDate | 2005 |
| publisher | Sociedade Brasileira de Física |
| spellingShingle | Quantum chaos, dynamical stability and decoherence Tomaz Prosen Física, Astronomía y Matemáticas Quantum chaos, dynamical stability and decoherence Tomaz Prosen Giulio Casati Física, Astronomía y Matemáticas We discuss the stability of quantum motion under systems perturbations in the light of the correspondingclassical behavior. In particular we focus our attention on the so called fidelity or Loschmidt echo, its relationwith the decay of correlations, and discuss the quantum-classical correspondence. We then report on thenumerical simulation of the double-slit experiment, where the initial wave-packet is bounded inside a billiarddomain with perfectly reflecting walls. If the shape of the billiard is such that the classical ray dynamics is regular,we obtain interference fringes whose visibility can be controlled by changing the parameters of the initialstate. However, if we modify the shape of the billiard thus rendering classical (ray) dynamics fully chaotic,the interference fringes disappear and the intensity on the screen becomes the (classical) sum of intensities forthe two corresponding one-slit experiments. Thus we show a clear and fundamental example in which transitionto chaotic motion in a deterministic classical system, in absence of any external noise, leads to a profoundmodification in the quantum behavior. 2005 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46435206 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.2A Vol.35 |
| title | Quantum chaos, dynamical stability and decoherence |
| topic | Física, Astronomía y Matemáticas |
| url | https://www.redalyc.org/articulo.oa?id=46435206 |