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- W2101771255 abstract "In this article we develop an exact(non-adiabatic,non-perturbative) density matrix scattering theory for a two component quantum liquid which interacts or scatters off from a generic spin-dependent quantum potential. We find that the number or charge density in scattered fluid,$text{Tr}({varrho}_{sc})$ depends on {non-trivial quantum interference coefficients}, ${cal{Q}}^{alphabeta}_{0ijk}$ which arises due to quantum interference between spin-independent and spin-dependent scattering amplitudes and among spin-dependent scattering amplitudes. The effect of quantum interference coefficients can be include by defining a {bf vector order parameter} $bm{Q}$. We find that in presence of spin-dependent interaction the {bf vector order parameter} $bm{Q}$ is necessarily non-zero and is related to the commutator and anti-commutator of scattering matrix $cal{S}$ with its dagger $cal{S}^{dagger}$. It is further shown that $bm{Q}neq 0$, implies four physically equivalent conditions,i.e, {bf spin-orbital entanglement is non-zero}, {bf Non-Abelian scattering phase,i.e, matrices}, scattering matrix is {bf Non-Unitary} and the broken time reversal symmetry for scattered density matrix. This also implies that quasi particle excitation are anyonic in nature, hence, charge fractionalization is a natural consequence. This aspect has also been discussed from the perspective of number or charge density conservation, 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 in presence of spin-dependent potential or scattering which is equivalent to {bf Abelian} hydrodynamics ,{bf Unitary} scattering matrix, absence of spin-space entanglement, and preserved time reversal symmetry." @default.
- W2101771255 created "2016-06-24" @default.
- W2101771255 creator A5000071288 @default.
- W2101771255 date "2014-04-08" @default.
- W2101771255 modified "2023-09-27" @default.
- W2101771255 title "Quantum Non-Abelian Hydrodynamics: Anyonic or Spin-Orbital Entangled liquids, Non-Unitarity of Scattering matrix and Charge Fractionalization" @default.
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