Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.12202/6435
Title: Positive quantum Lyapunov exponents in experimental systems with a regular classical limit.
Authors: Santos, Lea F.
Pilatowsky-Cameo, Saúl
Chávez-Carlos, Jorge
Bastarrachea-Magnani, Miguel A.
Stránský, Pavel
Hirsch, Jorge G.
0000-0001-9400-2709
Keywords: chaos
quantum chaos
trapped ions
Dicke model
Issue Date: 22-Jan-2020
Publisher: American Physical Society
Citation: Santos, Lea F., Saúl Pilatowsky-Cameo, Jorge Chávez-Carlos, Miguel A. Bastarrachea-Magnani, Pavel Stránský, Sergio Lerma-Hernández, and Jorge G. Hirsch. (22 January 2020). Positive quantum Lyapunov exponents in experimental systems with a regular classical limit. Phys. Rev. E 101, 010202(R)
Series/Report no.: Physical Review Research;101
Abstract: Quantum chaos refers to signatures of classical chaos found in the quantum domain. Recently, it has become common to equate the exponential behavior of out-of-time order correlators (OTOCs) with quantum chaos. The quantum-classical correspondence between the OTOC exponential growth and chaos in the classical limit has indeed been corroborated theoretically for some systems and there are several projects to do the same experimentally. The Dicke model, in particular, which has a regular and a chaotic regime, is currently under intense investigation by experiments with trapped ions. We show, however, that for experimentally accessible parameters, OTOCs can grow exponentially also when the Dicke model is in the regular regime. The same holds for the Lipkin-Meshkov-Glick model, which is integrable and also experimentally realizable. The exponential behavior in these cases are due to unstable stationary points, not to chaos.
Description: Research article/ peer-reviewed. Open-Access.
URI: https://doi.org/10.1103/PhysRevE.101.010202
https://hdl.handle.net/20.500.12202/6435
ISSN: 1550-2376
Appears in Collections:Stern College for Women -- Faculty Publications

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