DOI： 10.1007/JHEP09(2024)199

Authorship：Lead author   Language：English  

Language：English   Publishing type：Research paper (scientific journal)  

DOI： https://doi.org/10.3390/universe10050198

DOI： https://doi.org/10.3390/universe10050198

Authorship：Lead author   Language：English   Publishing type：Research paper (scientific journal)  

DOI： https://doi.org/10.1088/1751-8121/ad1d23

DOI： https://doi.org/10.1088/1751-8121/ad1d23

DOI： 10.1088/1751-8121/acbe80

Language：English   Publishing type：Research paper (scientific journal)  

DOI： https://doi.org/10.1016/j.physleta.2022.128458

DOI： https://doi.org/10.1016/j.physleta.2022.128458

Language：English   Publisher：Elsevier {BV}  

DOI： 10.1016/j.physleta.2022.128458

Authorship：Lead author  

Language：English   Publisher：Springer Science and Business Media {LLC}  

<jats:title>A<jats:sc>bstract</jats:sc>
</jats:title><jats:p>We construct and analyse the moduli space (collective coordinates) for a classical field theory in 1 + 1 dimensions that possesses complex stable multi-soliton solutions with real energies when PT-regularized. For the integrable Bullough-Dodd model we show, by comparing with the exact solutions, that a one-dimensional moduli space captures well the main feature of the centre of mass motion of the one and two-soliton solutions. We demonstrate that even the time-delay and spatial displacements occurring for the one-soliton constituents in a multi-soliton scattering process can be extracted from a moduli space analysis. We propose a two dimensional moduli space to describe the newly found triple bouncing scattering amongst the constituents of a dark two double peakon scattering.</jats:p>

DOI： 10.1007/jhep10(2022)109

Authorship：Lead author   Language：English   Publishing type：Research paper (scientific journal)  

DOI： https://doi.org/10.1016/j.nuclphysb.2022.115783

DOI： https://doi.org/10.1016/j.nuclphysb.2022.115783

Language：English   Publishing type：Research paper (scientific journal)  

DOI： https://doi.org/10.1016/j.physleta.2022.128060

DOI： https://doi.org/10.1016/j.physleta.2022.128060

Authorship：Lead author   Language：English   Publishing type：Research paper (scientific journal)  

DOI： https://doi.org/10.1140/epjp/s13360-022-02889-z

DOI： https://doi.org/10.1140/epjp/s13360-022-02889-z

Language：English   Publisher：Elsevier {BV}  

DOI： 10.1016/J.PHYSLETA.2022.128060

Web of Science

Publisher：arXiv  

We demonstrate that the existence of a time-dependent antilinear symmetry operator of the non-Hermitian energy operator that maps its right to its conjugate left eigenstates guarantees the reality of the instantaneous energies. This property holds throughout all three $\cal{PT}$-regimes, these are what in the time-independent scenario are referred to as the $\cal{PT}$-symmetric regime, the exceptional point as well as the spontaneously broken $\cal{PT}$-regime. We also propose a modified adiabatic approximation consisting of an expansion of the wavefunctions in terms the instantaneous eigenstates of the energy operator, rather than of those of the Hamiltonian, that will always lead to real Berry phases. We illustrate the working of our general proposals with two explicit examples for a time-dependent non-Hermitian spin model.

DOI： 10.48550/ARXIV.2211.05683

DOI： 10.1140/EPJP/S13360-022-02889-Z

Web of Science

DOI： 10.1016/J.NUCLPHYSB.2022.115783

Web of Science

Publisher：arXiv  

A non-Hermitian many-body Hamiltonian (NHMBH) is an effective theory of an ultra-cold atom in an open system. Eigenvalues of such a Hamiltonian admit a branch-cut structure, which gives rise to a novel phase transition point called the exceptional point. Here we show that the Meissner effect of the NHMBH breaks down at the exceptional point while the gap parameters stay finite. We analyze the two-band Bardeen-Cooper-Schrieffer Hamiltonian coupled to the external bath, using the path-integral formalism and the non-Hermitian version of the mean-field theory. Our result shows the novel behavior of the magnetic field exclusive to the non-Hermitian system. It implies a possible way to experimentally detect the exceptional point in the non-Hermitian many-body system.

DOI： 10.48550/ARXIV.2211.11422

Authorship：Lead author   Language：English   Publishing type：Research paper (scientific journal)  

DOI： https://doi.org/10.1016/j.nuclphysb.2021.115516

DOI： https://doi.org/10.1016/j.nuclphysb.2021.115516

Language：English   Publishing type：Research paper (international conference proceedings)  

DOI： https://doi.org/10.1088/1742-6596/2038/1/012010

DOI： https://doi.org/10.1088/1742-6596/2038/1/012010

Authorship：Lead author   Language：English   Publishing type：Research paper (scientific journal)  

DOI： https://doi.org/10.1088/1751-8121/abb92a

DOI： https://doi.org/10.1088/1751-8121/abb92a

Language：English   Publishing type：Research paper (scientific journal)  

DOI： https://doi.org/10.1016/j.physletb.2020.135583

DOI： https://doi.org/10.1016/j.physletb.2020.135583

Authorship：Lead author   Language：English   Publishing type：Research paper (scientific journal)  

DOI： https://doi.org/10.1103/PhysRevD.101.045014

DOI： https://doi.org/10.1103/PhysRevD.101.045014