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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 melting point where no two are bound. By using a non-perturbative…

Soft Condensed Matter · Physics 2015-04-13 Tanmoy Pal , Poulomi Sadhukhan , Somendra M. Bhattacharjee

Thermal denaturation of DNA is often studied with coarse-grained models in which native sequential base pairing is mimicked by the existence of attractive interactions only between monomers at the same position along strands (Poland and…

Statistical Mechanics · Physics 2014-01-22 Jaya Maji , Somendra M. Bhattacharjee , Flavio Seno , Antonio Trovato

We study the melting of three-stranded DNA by using the real-space renormalization group and exact recursion relations. The prediction of an unusual Efimov-analog three-chain bound state, that appears at the critical melting of two-chain…

Statistical Mechanics · Physics 2012-10-30 Jaya Maji , Somendra M. Bhattacharjee

The base sequences of DNA contain the genetic code and to decode it a double helical DNA has to open its base pairs. Recent studies have shown that one can use a third strand to identify the base sequences without opening the double helix…

Soft Condensed Matter · Physics 2014-11-21 Jaya Maji , Somendra M. Bhattacharjee , Flavio Seno , Antonio Trovato

The presence of a thermodynamic phase of a three-stranded DNA, namely, a mixed phase of bubbles of two bound strands and a single one, is established for large dimensions ($d\geq 5$) by using exact real space renormalization group (RG)…

Soft Condensed Matter · Physics 2017-08-02 Jaya Maji , Flavio Seno , Antonio Trovato , Somendra M. Bhattacharje

The Efimov effect is the only experimentally realized universal phenomenon that exhibits the renormalization-group limit cycle with the three-body parameter parametrizing a family of universality classes. Recent experiments in ultracold…

Quantum Gases · Physics 2015-01-20 Yusuke Horinouchi , Masahito Ueda

We formulate a renormalization group (RG) for the interaction parameters of the general two-body problem and show how a limit cycle emerges in the RG flow if the interaction approaches an inverse square law. This limit cycle generates a…

Statistical Mechanics · Physics 2007-05-23 Erich J. Mueller , Tin-Lun Ho

Few-body physics related to the Efimov effect is discussed using the functional renormalization group method. After a short review of renormalization in its modern formulation we apply this formalism to the description of scattering and…

Quantum Gases · Physics 2012-08-20 Stefan Floerchinger , Sergej Moroz , Richard Schmidt

We define a generalised model for three-stranded DNA consisting of two chains of one type and a third chain of a different type. The DNA strands are modelled by random walks on the three-dimensional cubic lattice with different interactions…

Statistical Mechanics · Physics 2021-08-25 Somendra M. Bhattacharjee , Damien Paul Foster

Systems of three particles show a surprising feature in their bound state spectrum: a series of geometrically scaled states, known as Efimov states. These states have not yet been observed directly, but many recent experiments show indirect…

Atomic Physics · Physics 2013-10-01 Peder K. Sørensen

Low-energy effective field theory describing a nonrelativistic three-body system is analyzed in the Wilsonian renormalization group (RG) method. No effective auxiliary field (dimeron) that corresponds to two-body propagation is introduced.…

High Energy Physics - Theory · Physics 2013-04-10 Koji Harada , Hirofumi Kubo , Issei Yoshimoto

The Efimov effect, a remarkable realization of discrete scale invariance, emerges in the three-body problem with short-range interactions and is understood as a renormalization group (RG) limit cycle within Short-Range Effective Field…

We discuss the physics of the Efimov effect from a renormalization group viewpoint using the concept of limit cycles. Furthermore, we discuss recent experiments providing evidence for the Efimov effect in ultracold gases and its relevance…

Nuclear Theory · Physics 2011-07-18 Hans-Werner Hammer , Lucas Platter

We investigate the energy dependence of inelastic processes in systems which possess Efimov states. We consider the three-body recombination rate $K_3$ where three free atoms interact to produce an atom--dimer pair, and the relaxation rate…

Atomic Physics · Physics 2016-10-20 D. Shu , I. Simbotin , R. Côté

Resonant P-wave interactions can be described by a minimal zero-range model defined by a truncated effective range expansion, so that the only 2-body interaction parameters are the inverse scattering volume 1/a_P and the P-wave effective…

Quantum Gases · Physics 2012-08-20 Eric Braaten , P. Hagen , H. -W. Hammer , L. Platter

The 3-body recombination rate at threshold for distinguishable atoms with large negative pair scattering lengths is calculated in the zero-range approximation. The only parameters in this limit are the 3 scattering lengths and the Efimov…

Other Condensed Matter · Physics 2013-05-29 Eric Braaten , H. -W. Hammer , Daekyoung Kang , Lucas Platter

We formulate a field theory for resonantly interacting anyons, that enables us to perform a perturbative calculation near the fermionic limit. We derive renormalization group equations for three-body and four-body couplings at one-loop…

High Energy Physics - Theory · Physics 2008-11-26 Yusuke Nishida

We observe enhanced three-body recombination in an ultracold three-component $^6$Li Fermi gas with large but unequal scattering lengths attributable to an excited Efimov trimer state near the three-atom scattering threshold. We find…

Quantum Physics · Physics 2015-05-13 J. R. Williams , E. L. Hazlett , J. H. Huckans , R. W. Stites , Y. Zhang , K. M. O'Hara

We use universality in two-body dipolar physics to study three-body recombination. We present results for the universal structure of weakly bound two-dipole states that depend only on the s-wave scattering length ($a$). We study threshold…

Atomic Physics · Physics 2015-05-18 Chris Ticknor , Seth T. Rittenhouse

A new narrow 3-atom loss resonance associated with an Efimov trimer crossing the 3-atom threshold has recently been discovered in a many-body system of ultracold 6Li atoms in the three lowest hyperfine spin states at a magnetic field near…

Quantum Gases · Physics 2015-03-13 Eric Braaten , H. -W. Hammer , Daekyoung Kang , Lucas Platter
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