Entanglement production in quantized chaotic systems |
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Authors: | Jayendra N Bandyopadhyay Arul Lakshminarayan |
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Institution: | (1) Physical Research Laboratory, Navrangpura, 380 009 Ahmedabad, India;(2) Department of Physics, Indian Institute of Technology, 600 036 Chennai, India |
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Abstract: | Quantum chaos is a subject whose major goal is to identify and to investigate different quantum signatures of classical chaos.
Here we study entanglement production in coupled chaotic systems as a possible quantum indicator of classical chaos. We use
coupled kicked tops as a model for our extensive numerical studies. We find that, in general, chaos in the system produces
more entanglement. However, coupling strength between two subsystems is also a very important parameter for entanglement production.
Here we show how chaos can lead to large entanglement which is universal and describable by random matrix theory (RMT). We
also explain entanglement production in coupled strongly chaotic systems by deriving a formula based on RMT. This formula
is valid for arbitrary coupling strengths, as well as for sufficiently long time. Here we investigate also the effect of chaos
on the entanglement production for the mixed initial state. We find that many properties of the mixed-state entanglement production
are qualitatively similar to the pure state entanglement production. We however still lack an analytical understanding of
the mixed-state entanglement production in chaotic systems. |
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Keywords: | Chaos entanglement random matrix theory mixed state |
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