English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

In this article we develop an exact(non-adiabatic,non-perturbative) densitymatrix scattering theory for a two component quantum liquid which interacts orscatters off from a generic spin-dependent quantum potential. We find that thenumber or charge density in scattered fluid,$\text{Tr}({\varrho}_{sc})$ dependson {non-trivial quantum interference coefficients},${\cal{Q}}^{\alpha\beta}_{0ijk}$ which arises due to quantum interferencebetween spin-independent and spin-dependent scattering amplitudes and amongspin-dependent scattering amplitudes. The effect of quantum interferencecoefficients can be include by defining a {\bf vector order parameter}$\bm{Q}$. We find that in presence of spin-dependent interaction the {\bfvector order parameter} $\bm{Q}$ is necessarily non-zero and is related to thecommutator and anti-commutator of scattering matrix $\cal{S}$ with its dagger$\cal{S}^{\dagger}$. It is further shown that $\bm{Q}\neq 0$, implies fourphysically equivalent conditions,i.e, {\bf spin-orbital entanglement isnon-zero}, {\bf Non-Abelian scattering phase,i.e, matrices}, scattering matrixis {\bf Non-Unitary} and the broken time reversal symmetry for scattereddensity matrix. This also implies that quasi particle excitation are anyonic innature, hence, charge fractionalization is a natural consequence. This aspecthas also been discussed from the perspective of number or charge densityconservation, which implies i.e,$\text{Tr}({\varrho}_{sc})=\text{Tr}({\varrho}_{in})$. On the other hand$\bm{Q}=0$ turns out to be a mathematically forced unphysical solution inpresence of spin-dependent potential or scattering which is equivalent to {\bfAbelian} hydrodynamics ,{\bf Unitary} scattering matrix, absence of spin-spaceentanglement, and preserved time reversal symmetry.

Quantum Non-Abelian Hydrodynamics: Anyonic or Spin-Orbital Entangled liquids, Non-Unitarity of Scattering matrix and Charge Fractionalization