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Open Quantum Systems Decoherence Quantum Simulation

Efimov like phase of a three stranded DNA (Efimov-DNA) and the renormalization group limit cycle

arXiv
Authors: Tanmoy Pal, Poulomi Sadhukhan, Somendra M. Bhattacharjee

Year

2014

Paper ID

47261

Status

Preprint

Abstract Read

~2 min

Abstract Words

127

Citations

N/A

Abstract

A three-stranded DNA with short range base pairings only is known to exhibit a classical analog of the quantum Efimov effect, viz., a three chain bound state at the two chain melting point where no two are bound. By using a non-perturbative renormalization group method for a rigid duplex DNA and a flexible third strand, with base pairings and strand exchange, we show that the Efimov-DNA is associated with a limit cycle type behavior of the flow of an effective three chain interaction. The analysis also shows that thermally generated bubbles play an essential role in producing the effect. A toy model for the flow equations shows the limit cycle in an extended three dimensional parameter space of the two-chain coupling and a complex three chain interaction.

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  • A three-stranded DNA with short range base pairings only is known to exhibit a classical analog of the quantum Efimov effect, viz., a three chain bound state at the two chain...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1409.8127 [2] arXiv https://arxiv.org/abs/1409.8127 [3] Publisher https://arxiv.org/abs/1409.8127

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