Quantum Entanglement in the S=1/2 Spin Ladder with Ring Exchange

Abstract

In this paper we study the concurrence and the block-block entanglement in the $S=1/2$ spin ladder with four-spin ring exchange by the exact diagonalization method of finite cluster of spins. The relationship between the global phase diagram and the ground-state entanglement is investigated. It is shown that the block-block entanglement of different block size and geometry manifests richer information of the system. We find that the extremal point of the two-site block-block entanglement on the rung locates a transition point exactly due to SU(4) symmetry at this point. The scaling behavior of the block-block entanglement is discussed. Our results suggest that the block-block entanglement can be used as a convenient marker of quantum phase transition in some complex spin systems.

5 pages, 7 figures

References in corpus (28)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Entanglement in quantum critical phenomena
• Scaling of Entanglement close to a Quantum Phase Transitions
• Entanglement in a simple quantum phase transition
• Entanglement and quantum phase transition in the extended Hubbard model
• Local entanglement and quantum phase transition in the Hubbard model
• Universality of Entropy Scaling in 1D Gap-less Models
• Entanglement Properties of the Harmonic Chain
• Entanglement, quantum phase transition and scaling in XXZ chain
• Two-site entropy and quantum phase transitions in low-dimensional models
• Entanglement Scaling in the One-Dimensional Hubbard Model at Criticality
• Effects of biquadratic exchange on the spectrum of elementary excitations in spin ladders
• The ground state entanglement in the $XXZ$ model
• Two-Point Versus Multipartite Entanglement in Quantum Phase Transitions
• Phase Diagram of a Spin Ladder with Cyclic Four Spin Exchange
• Concurrence in collective models
• Block-block entanglement and quantum phase transitions in one-dimensional extended Hubbard model
• Thermal entanglement properties of small spin clusters
• Perturbation theories for the S=1/2 spin ladder with four-spin ring exchange
• Local Measures of Entanglement and Critical Exponents at Quantum Phase Transitions
• Spin-chirality duality in a spin ladder with four-spin cyclic exchange
• Local Entanglement and quantum phase transition in spin models
• Chirality in Quantum Computation with Spin Cluster Qubits
• Single-site entanglement at superconductor-insulator transition in the Hirsch model
• An overview on the phase diagram of the frustrated two-leg ladder model
• Three and Four-Body Interactions in Spin-Based Quantum Computers
• Characterizing entanglement by momentum-jump in the frustrated Heisenberg ring at quantum phase transition
• The phase diagram of magnetic ladders constructed from a composite-spin model

Cited by in corpus (13)

• Quantum phase transitions in multileg spin ladders with ring exchange
• Cluster Density Matrix Embedding Theory for Quantum Spin Systems
• Quantum renormalization group of XY model in two dimensions
• Topological Identification of Spin-1/2 Two-Leg Ladder with Four-Spin Ring Exchange
• Edge states of Spin-1/2 Two-Leg Ladder with Four-Spin Ring Exchange
• Topological Order Parameters of the Spin-1/2 Dimerized Heisenberg Ladder in Magnetic Field
• Semiclassical Approach to Competing Orders in Two-leg Spin Ladder with Ring-Exchange
• Density Matrix Recursion Method: Genuine Multisite Entanglement Distinguishes Odd from Even Quantum Heisenberg Ladders
• Comparative study of the density matrix embedding theory for the Hubbard models
• Quantized Berry Phases of a Spin-1/2 Frustrated Two-Leg Ladder with Four-Spin Exchange
• Odd-even effect of quantum discord and quantum phase transitions in the S=1/2 spin ladder with ring exchange
• Simulation of the Ring-exchange Models with Projected Entangled Pair States
• Estimating entanglement in 2D Heisenberg model in the strong rung-coupling limit