Entanglement dynamics and fractional quantum state transport in the spin-$\frac{1}{2}$ triangular plaquette

Abstract

The dramatic growth of research areas within the province of quantum state transmission (QST) is rapidly accelerating. An important insight to understand the process of QST can be fulfilled by considering the dynamical behavior of its entanglement content. One well-established approach to continuously transfer quantum states is utilizing spin structures. Here, from the view of entanglement propagation, we disclose the signature of fractional QST possibilities. In the present work, we proposed a form of spin-$\frac{1}{2}$ triangular plaquette whose Hamiltonian entails the spin-orbit coupling on the rungs and exchange interaction over the legs. The feature of such a system is that the time instants of QST emerge in a discrete fashion, thereby the values of exchange interactions associated with these moments behave fractionally. Importantly, it is found that for special values of magnetic interaction, QST has singularity i.e., the entanglement propagation is forbidden. In addition, the finite-size nature of this system makes it possible for us to read the nexus between time crystallinity and symmetry breaking. The development of our knowledge about time crystalline symmetry and its breaking helps us to understand the defined concept and fundamental physics of this phenomenon.

7 pages, 6 figures, 1 table

References in corpus (8)

• Sudden Death of Entanglement
• Transfer of arbitrary two qubit states via a spin chain
• Many-body localization phase in a spin-driven chiral multiferroic chain
• Stochastic discrete time crystals: Entropy production and subharmonic synchronization
• Role of interference in quantum state transfer through spin chains
• Dynamical pairwise entanglement and two-point correlations in the three-ligand spin-star structure
• Robust and efficient transport of two-qubit entanglement via disordered spin chains
• Exact dynamics of concurrence-based entanglement in a system of four spin-1/2 particles on a triangular ladder structure

Cited by in corpus (1)

• A group method solving many-body systems in intermediate statistical representation