Accepted Manuscripts

The effect of magnetic gap and finite quasi-particle lifetime in topological insulator-based ferromagnet/f-wave superconductor (TI-based FM/f–wave SC) junctions is theoretically investigated by using the modified Blonder-Tinkham-Klapwijk (BTK) theory. Two types of pairings, f1 and f2–waves for SC, are considered. The results indicate that shortening the finite quasi-particle lifetime can lead to a transformation of energy-gap peaks into a zero-bias peak in tunneling conductance spectrum, as well as a transformation of energy-gap dips into a zero-bias dip in shot noise spectrum, ultimately resulting in the smoothing of both the zero-bias conductance peak and the zero-bias shot noise dip. An increase in magnetic gap can suppress tunneling conductance and shot noise when conventional Andreev retro-reflection dominates but enhance them when specular Andreev reflection is dominant. Both conventional Andreev retro-reflection and specular Andreev reflection can be enhanced by increasing quasi-particle lifetime. When Fermi energy equals the magnetic gap, tunneling conductance and shot noise values become zero across all energy ranges. These findings not only contribute to a better understanding of specular Andreev reflection in TI-based FM/f–wave SC junctions but also provide insights for experimentally determining the f-wave pairing symmetry.

Entanglement-breaking (EB) subspaces help determine the additivity of entanglement of formation (EOF), which is a long-standing issue in quantum information. We explicitly construct the
two-dimensional EB subspaces of any bipartite systems when system dimensions are equal, and we
apply the subspaces to construct EB spaces of arbitrary dimensions. We also present the partial
construction when system dimensions are different. Then we present the notion and properties of
EB subspaces for some systems, and in particular the absolute EB subspaces. We construct some
examples of absolute EB subspaces, as well as EB subspaces for some systems by using multiqubit
Dicke states.

We perform benchmark calculations of the p-wave resonances in the exponentially cosine screened Coulomb potential using the uniform complex-scaling generalized pseudospectral method. The present results show significant improvement in the calculation accuracy compared to previous predictions and correct the misidentification of resonance electron configuration in previous works. It is found that the resonance states approximately follow a n^2-scaling law which is similar to the bound counterparts. The birth of new resonance would distort the trajectory of an adjacent higher-lying resonance.

The Hubble tension persists as a challenge in cosmology. Even early dark energy (EDE) models, initially considered the most promising for alleviating the Hubble tension, fall short of addressing the issue without exacerbating other tensions, such as the S₈ tension. Considering that a negative dark matter (DM) equation of state (EoS) parameter is conducive to reduce the value of σ₈ parameter, we extend the axion-like EDE model in this paper by replacing the cold dark matter (CDM) with DM characterized by a constant EoS w_dm (referred as WDM hereafter). We then impose constraints on this axion-like EDE extension model, along with three other models: the axion-like EDE model, ΛWDM, and ΛCDM. These constraints are derived from a comprehensive analysis incorporating data from the Planck 2018 cosmic microwave background (CMB), baryon acoustic oscillations (BAO), the Pantheon compilation, as well as a prior on H₀ (i.e., H₀=73.04±1.04, based on the latest local measurement by Riess et al.) and a Gaussianized prior on S₈ (i.e., S₈=0.766±0.017, determined through the joint analysis of KID1000+BOSS+2dLenS). We find that although the new model maintains the ability to alleviate the Hubble tension to ∼1.4σ, it still exacerbate the S₈ tension to a level similar to that of the axion-like EDE model.

We present the lattice QCD simulation with the 2+1+1 flavor full QCD ensembles using near-physical quark masses and different spatial sizes $L$, at $a\sim$ 0.055 \;fm. The results show that the scalar and pesudoscalar 2-point correlator with the valence pion mass of approximately 230 MeV become degenerated at $L\le 1.0$ \;fm, and such an observation suggests that the spontaneous chiral symmetry breaking disappears effectively there. At the same time, the mass gap between the nucleon and pion masses remains larger then $\Lambda_{\rm QCD}$ at the entire $L\in[0.2,0.7]$ fm range.

Quantifying entanglement measures for quantum states with unknown density matrices is a chal lenging task. Machine learning offers a new perspective to address this problem. By training
machine learning models using experimentally measurable data, we can predict the target entan glement measures. In this study, we compare various machine learning models and find that the
linear regression and stack models perform better than others. We investigate the model's impact
on quantum states across different dimensions and find that higher-dimensional quantum states
yield better results. Additionally, we investigate which measurable data has better predictive power
for target entanglement measures. Using correlation analysis and principal component analysis,
we demonstrate that quantum moments exhibit a stronger correlation with coherent information
among these data features.

We consider generating maximally entangled states (Bell states) between two qubits coupled to a common bosonic mode, based on f-STIRAP. Utilizing the systematic approach developed in New J. Phys. 19 093016 (2017), we quantify the effects of non-adiabatic leakage and system dissipation on the entanglement generation, and optimize the entanglement by balancing non-adiabatic leakage and system dissipation. We find the analytical expressions of the optimal coupling profile, the operation time, and the maximal entanglement. Our findings have broad applications in quantum state engineering, especially in solid-state devices where dissipative effects cannot be neglected.

The objective of present work is to deal with physical features of anisotropic compact objects
within the framework of f(G) modified theory of gravity. For our present work, the Einstein-
Maxwell equations defined under the impression of charge by utilizing the Krori-Barua metric i.e,
λ(r) = Xr2 + Y and β(r) = Zr2, described by spherically symmetric space-time. To accomplish
the desired objective, we calculate the undefined constrains utilized within the stellar debate by
using the comparison method of interior and exterior spacetime while Bardeen geometry consider
as an exterior. Further, to analyze the stellar configuration of Bardeen compact stars by assuming
viable f(G) models including logarithmic corrected, we establish some expressions for examining the
components of pressure and density, respectively. We address the energy conditions to verify our
model's viability for the various star candidates. Some other physical features, such as equilibrium
condition, equation of state parameters, adiabatic index, stability analysis, mass function, surface
Redshift and compactness factor, have been investigated. Conclusively, all the obtained results
shows that the system under consideration is physically stable, free from singularity, and viable.
Keywords: Bardeen compact stars, f(G) modified gravity, Krori-Barua potential.

We present a flexible manipulation and control of solitons via Bose-Einstein condensate. In the presence of Rashba spin-orbit coupling and repulsive interactions within a harmonic potential, our investigation reveals the numerical local solutions within the system. By manipulating the strength of repulsive interactions and adjusting spin-orbit coupling while maintaining a zero-frequency rotation, diverse soliton structures emerge within the system. These include plane-wave solitons, two distinct types of stripe solitons, and odd petal solitons with both single and double layers. The stability of these solitons is intricately dependent on the varying strength of spin-orbit coupling. Specifically, stripe solitons can maintain stable existence within regions characterized by enhanced spin-orbit coupling while petal solitons are unable to sustain stable existence under similar conditions. When rotational frequency is introduced to the system, solitons undergo a transition from stripe solitons to a vortex array characterized by sustained rotation. The rotational directions of clockwise and counterclockwise are non-equivalent owing to spin-orbit coupling. As a result, the properties of vortex solitons exhibit significant variation and are capable of maintaining a stable existence in the presence of repulsive interactions.

This paper aims to discuss a fourth-order matrix spectral problem involving four potentials and to generate an associated Liouville integrable hierarchy via the zero curvature formulation. A bi-Hamiltonian formulation is furnished by applying the trace identity and a recursion operator is explicitly worked out, which exhibits the Liouville integrability of each model in the resulting hierarchy. Two specific examples, consisting of novel generalized combined nonlinear Schroedinger equations and modified Korteweg-de Vries equations, are given.