arXiv subjects

Yi Qiao

Publications and source records attributed to Yi Qiao.

40 records · Page 3Linked to original sources

arXiv2018

Thermodynamic limit and twisted boundary energy of the XXZ spin chain with antiperiodic boundary condition

We investigate the thermodynamic limit of the inhomogeneous T-Q relation of the antiferromagnetic XXZ spin chain with antiperiodic boundary condition. It is shown that the contribution of the inhomogeneous term at the ground state can be neglected when the system-size N tends to infinity, which enables us to reduce the inhomogeneous Bethe ansatz equations (BAEs) to the homogeneous ones. Then the quantum numbers at the ground states are obtained, by which the system with arbitrary size can be studied. We also calculate the twisted boundary energy of the system.

math-ph↗

arXiv2018

Bethe states of the trigonometric SU(3) spin chain with generic open boundaries

By combining the algebraic Bethe ansatz and the off-diagonal Bethe ansatz, we investigate the trigonometric SU(3) model with generic open boundaries. The eigenvalues of the transfer matrix are given in terms of an inhomogeneous T-Q relation, and the corresponding eigenstates are expressed in terms of nested Bethe-type eigenstates which have well-defined homogeneous limit. This exact solution provides a basis for further analyzing the thermodynamic properties and correlation functions of the anisotropic models associated with higher rank algebras.

math-ph↗

arXiv2018

A convenient basis for the Izergin-Korepin model

We propose a convenient orthogonal basis of the Hilbert space for the Izergin-Korepin model (or the quantum spin chain associated with the $A^{(2)}_{2}$ algebra). It is shown that the monodromy-matrix elements acting on the basis take relatively simple forms (c.f. acting on the original basis ), which is quite similar as that in the so-called F-basis for the quantum spin chains associated with $A$-type (super)algebras. As an application, we present the recursive expressions of Bethe states in the basis for the Izergin-Korepin model.

math-ph↗

arXiv2017

MDA in Capillary for Whole Genome Amplification

Whole genome amplification (WGA) plays an important role in sample preparation of low-input templates for high-throughput sequencing. Multiple displacement amplification (MDA), a popular isothermal WGA method, suffers a major hurdle of highly uneven amplification. Optimizations have been made in the past by separating the reagents into numbers of tiny chambers or droplets in microfluidic devices, which significantly improves the amplification uniformity of MDA. However, skill barrier still exists for biological researchers to handle chip fabrication and droplet manipulation. Here, we present a novel MDA protocol, in-capillary MDA (icMDA), which significantly simplifies the manipulation and improves the uniformity of amplification by dispersing reagents in a long quasi-1D capillary tubing. We demonstrated that icMDA is able to accurately detect SNVs with higher efficiency and sensitivity. Moreover, this straightforward method employs neither customized instruments nor complicated operations, making it a ready-to-use approach for most laboratories.

q-bio.GN↗