2024-03-28T16:41:17Zhttp://digital.csic.es/dspace-oai/requestoai:digital.csic.es:10261/157842019-02-13T11:28:24Zcom_10261_135com_10261_4col_10261_388
DIGITAL.CSIC
author
Relaño, Armando
2009-08-06T11:07:54Z
2009-08-06T11:07:54Z
2008-06-03
Physical Review Letters 100(22): 224101 (2008)
0031-9007
http://hdl.handle.net/10261/15784
10.1103/PhysRevLett.100.224101
1079-7114
It has been shown that the spectral fluctuations of different quantum systems are characterized by 1=f
noise, with 1 ≤ ≤ 2, in the transition from integrability to chaos. This result is not well understood. We show that chaos-assisted tunneling gives rise to this power-law behavior. We develop a random matrix
model for intermediate quantum systems, based on chaos-assisted tunneling, and we discuss under which conditions it displays 1=f noise in the transition from integrability to chaos. We conclude that the
variance of the elements that connect regular with chaotic states must decay with the difference of energy between them. We compare the characteristics of the transition modeled in this way with what is obtained for the Robnik billiard.
eng
openAccess
[PACS] Quantum chaos; semiclassical methods
[PACS] Tunneling, traversal time, quantum Zeno dynamics
[PACS] Matrix theory
Chaos-Assisted Tunneling and 1/f Spectral Fluctuations in the Order-Chaos Transition
artículo
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URL
https://digital.csic.es/bitstream/10261/15784/1/chaos.pdf
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chaos.pdf
URL
https://digital.csic.es/bitstream/10261/15784/4/chaos.pdf.txt
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MD5
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chaos.pdf.txt