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Register a new userReply to comment by Poole et al. on a tropical NAT-like belt observed from space
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Vincent Noel
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In their comment, Poole et al. (2009) aim to show it is highly improbable that the observations described in Chepfer and Noel (2009), and described as NAT-like therein, are produced by Nitric Acid Trihydrate (NAT) particles. In this reply, we attempt to show why there is, in our opinion, too little evidence to reject this interpretation right away.
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In a comment on arXiv:1006.5070v1, Drechsler et al. present new band-structure calculations suggesting that the frustrated ferromagnetic spin-1/2 chain LiCuVO4 should be described by a strong rather than weak ferromagnetic nearest-neighbor interaction, in contradiction with their previous calculations. In our reply, we show that their new results are at odds with the observed magnetic structure, that their analysis of the static susceptibility neglects important contributions, and that their criticism of the spin-wave analysis of the bound-state dispersion is unfounded. We further show that their new exact diagonalization results reinforce our conclusion on the existence of a four-spinon continuum in LiCuVO4, see Enderle et al., Phys. Rev. Lett. 104 (2010) 237207.
In a comment on arXiv:1006.5070v2, Drechsler et al. claim that the frustrated ferromagnetic spin-1/2 chain LiCuVO4 should be described by a strong rather than weak ferromagnetic nearest-neighbor interaction, in contradiction with their previous work. Their comment is based on DMRG and ED calculations of the magnetization curve and the magnetic excitations. We show that their parameters are at odds with the magnetic susceptibility and the magnetic excitation spectrum, once intensities are taken into account, and that the magnetization curve cannot discriminate between largely different parameter sets within experimental uncertainties. We further show that their new exact diagonalization results support the validity of the RPA-approach, and strongly reinforce our conclusion on the existence of a four-spinon continuum in LiCuVO4, see Enderle et al., Phys. Rev. Lett. 104 (2010) 237207.
In a recent paper entitled Winding around non-Hermitian singularities by Zhong et al., published in Nat. Commun. 9, 4808 (2018), a formalism is proposed for calculating the permutations of eigenstates that arise upon encircling (multiple) exceptional points (EPs) in the complex parameter plane of an analytic non-Hermitian Hamiltonian. The authors suggest that upon encircling EPs one should track the eigenvalue branch cuts that are traversed, and multiply the associated permutation matrices accordingly. In this comment we point out a serious shortcoming of this approach, illustrated by an explicit example that yields the wrong result for a specific loop. A more general method that has been published earlier by us and that does not suffer from this problem, is based on using fundamental loops. We briefly explain the method and list its various advantages. In addition, we argue that this method can be verified in a three wave-guide system, which then also unambiguously establishes the noncommutativity associated with encircling multiple EPs.
In this reply, we point out several criticisms of the analysis in arXiv:0909.2633 and show that the comment does not change the underlying conclusion presented by ourselves that there is no measurable deficit in the scattering cross section of hydrogen. We therefore consider that our original conclusions are correct namely that the previous anomalies in the cross section are due to experimental effects related to the use of indirect geometry spectrometers.
In their Comment [arXiv:2102.03842], Haas et al. advance two hypotheses on the nature of the shape transformations observed in surfactant-stabilized emulsion droplets, as the theoretical models that us [Phys. Rev. Lett. 126, 038001 (2021)] and others [P. A. Haas et al. Phys. Rev. Lett. 118, 088001 (2017), Phys. Rev. Research 1, 023017 (2019)] have introduced to account for these observations. (1) Because of the different surfactants used in experimental studies, the physical mechanisms underpinning the shape transformations may, in fact, differ in spite of the extraordinary resemblance in the output. (2) The theoretical models are mathematically equivalent by virtue of the small magnitude of the stretching and gravitational energies. In this Reply, we argue that neither of these hypotheses is well justified.
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