von Neumann entropy and on-site localization for perpetually coupled qubits

Abstract

We used the von Neumann entropy to study the single and many-particle on-site localizations of stationary states for an anisotropic Heisenberg spin-1/2 chain. With a constructed bounded sequence of on-site energies for single and many-particle systems we demonstrate that the von Neumann entropy approaches zero indicating strong on-site localizations for all states. On the contrary, random on-site energy sequence does not lead to strong on-site confinement of all states. Our numerical results indicate that the von Neumann entropy provides a new insight to analyze on-site localizations for these systems.

6 pages, 7 figures

References in corpus (14)

• Quantum Computation with Quantum Dots
• Scaling of Entanglement close to a Quantum Phase Transitions
• Entanglement of atoms via cold controlled collisions
• Quantum Logic Gates in Optical Lattices
• Quantum Entanglement in Fermionic Lattices
• Local entanglement and quantum phase transition in the Hubbard model
• Entanglement and quantum phase transition in the extended Hubbard model
• An all silicon quantum computer
• Single-Site Entanglement of Fermions at a Quantum Phase Transition
• Strong many-particle localization and quantum computing with perpetually coupled qubits
• Replacing energy by von Neumann entropy in quantum phase transitions
• Von Neumann entropy and localization-delocalization transition of electron states in quantum small-world networks
• von Neumann entropy and localization properties of two interacting particles in one-dimensional nonuniform systems
• Many-particle confinement by constructed disorder and quantum computing