Artículos de revistas
Classical counterparts of quantum attractors in generic dissipative systems
Fecha
2017-06Registro en:
Carlo, Gabriel Gustavo; Ermann, Leonardo; Rivas, Alejandro Mariano Fidel; Spina, Maria Elena; Poletti, Dario; Classical counterparts of quantum attractors in generic dissipative systems; American Physical Society; Physical Review E; 95; 6; 6-2017; 1-6
2470-0053
CONICET Digital
CONICET
Autor
Carlo, Gabriel Gustavo
Ermann, Leonardo
Rivas, Alejandro Mariano Fidel
Spina, Maria Elena
Poletti, Dario
Resumen
In the context of dissipative systems, we show that for any quantum chaotic attractor a corresponding classical chaotic attractor can always be found. We provide a general way to locate them, rooted in the structure of the parameter space (which is typically bidimensional, accounting for the forcing strength and dissipation parameters). In cases where an approximate pointlike quantum distribution is found, it can be associated with exceptionally large regular structures. Moreover, supposedly anomalous quantum chaotic behavior can be very well reproduced by the classical dynamics plus Gaussian noise of the size of an effective Planck constant <span class="aps-inline-formula"><span id="MathJax-Element-1-Frame" class="mjx-chtml MathJax_CHTML" tabindex="0" style="font-size: 117%;"><span id="MJXc-Node-1" class="mjx-math"><span id="MJXc-Node-2" class="mjx-mrow"><span id="MJXc-Node-3" class="mjx-msub"><span class="mjx-base" style="margin-right: -0.022em;"><span id="MJXc-Node-4" class="mjx-mi"><span class="mjx-char MJXc-TeX-main-I" style="padding-top: 0.491em; padding-bottom: 0.308em; padding-right: 0.022em;">ℏ</span></span></span><span class="mjx-sub" style="font-size: 70.7%; vertical-align: -0.23em; padding-right: 0.071em;"><span id="MJXc-Node-5" class="mjx-mi" style=""><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.43em; padding-bottom: 0.369em;">eff</span></span></span></span></span></span></span></span>. We give support to our conjectures by means of two paradigmatic examples of quantum chaos and transport theory. In particular, a dissipative driven system becomes fundamental in order to extend their validity to generic cases.