Entanglement convertibility by sweeping through the quantum phases of the alternating bonds XXZ chain

  title={Entanglement convertibility by sweeping through the quantum phases of the alternating bonds XXZ chain},
  author={Yu-Chin Tzeng and Li Dai and M. C. Chung and L. Amico and Leong Chuan Kwek},
  journal={Scientific Reports},
We study the entanglement structure and the topological edge states of the ground state of the spin-1/2 XXZ model with bond alternation. We employ parity-density matrix renormalization group with periodic boundary conditions. The finite-size scaling of Rényi entropies S2 and S∞ are used to construct the phase diagram of the system. The phase diagram displays three possible phases: Haldane type (an example of symmetry protected topological ordered phases), Classical Dimer and Néel phases, the… 
Quantum phase transitions driven by rhombic-type single-ion anisotropy in the S = 1 Haldane chain
The spin-1 Haldane chain is an example of the symmetry-protected-topological (SPT) phase in one dimension. Experimental realization of the spin chain materials usually involves both the
Emergent Haldane phase in an alternating-bond Z3 parafermion chain
The Haldane phase represents one of the most important symmetry protected states in modern physics. This state can be realized using spin-1 and spin-${1\over 2}$ Heisenberg models and bosonic
Zero-Temperature Study of a Tetrameric Spin-1/2 Chain in a Transverse Magnetic Field
We consider an alternating Heisenberg spin-1/2 antiferromagnetic–ferromagnetic chain with the space-modulated dominant antiferromagnetic exchange and anisotropic ferromagnetic coupling (tetrameric
R\'enyi entropies and negative central charges in non-Hermitian quantum systems
A natural extension of entanglement and Rényi entropies to the non-Hermitian quantum mechanics is proposed. We demonstrate the generic entanglement/Rényi entropy captures the correct entanglement
Topological phase, supercritical point, and emergent phenomena in an extended parafermion chain
Topological orders and associated topological protected excitations satisfying non-Abelian statistics have been widely explored in various platforms. The $\mathbb{Z}_3$ parafermions are regarded as
Exact dimer phase with anisotropic interaction for one dimensional magnets
We report the exact dimer phase, in which the ground states are described by product of singlet dimer, in the extended XYZ model by generalizing the isotropic Majumdar–Ghosh model to the fully
Hunting for the non-Hermitian exceptional points with fidelity susceptibility
The fidelity susceptibility has been used to detect quantum phase transitions in the Hermitian quantum many-body systems over a decade, where the fidelity susceptibility density approaches $+\infty$


Matrix product state, quantum entanglement, and criticality in the one-dimensional dimerized antiferromagnetic Heisenberg model
The matrix product state (MPS) is utilized to investigate the ground state properties and quantum phase transitions (QPTs) of the dimerized antiferromagnetic Heisenberg (DAH) model. The ground state
Local Convertibility and the Quantum Simulation of Edge States in Many-Body Systems
In some many-body systems, certain ground-state entanglement (Renyi) entropies increase even as the correlation length decreases. This entanglement nonmonotonicity is a potential indicator of
Edge-entanglement spectrum correspondence in a nonchiral topological phase and Kramers-Wannier duality
In a system with chiral topological order, there is a remarkable correspondence between the edge and entanglement spectra: the low-energy spectrum of the system in the presence of a physical edge
Bulk-edge correspondence in entanglement spectra
Li and Haldane conjectured and numerically substantiated that the entanglement spectrum of the reduced density matrix of ground-states of time-reversal breaking topological phases (fractional quantum
General relationship between the entanglement spectrum and the edge state spectrum of topological quantum states.
This paper provides a demonstration of the observation made by Li and Haldane about the relationship between the entanglement spectrum and the spectrum of a physical edge state, using the tools of boundary conformal field theory.
Scaling of entanglement close to a quantum phase transition
It is demonstrated, for a class of one-dimensional magnetic systems, that entanglement shows scaling behaviour in the vicinity of the transition point, which connects the theory of critical phenomena with quantum information by exploring the entangling resources of a system close to its quantum critical point.
Entanglement spectrum as a generalization of entanglement entropy: identification of topological order in non-Abelian fractional quantum Hall effect states.
It is proposed that the low-lying entanglement spectrum can be used as a "fingerprint" to identify topological order and is compared with a generic 5/2 state obtained by finite-size diagonalization of the second-Landau-level-projected Coulomb interactions.
Entanglement spectrum of a topological phase in one dimension
We show that the Haldane phase of S=1 chains is characterized by a double degeneracy of the entanglement spectrum. The degeneracy is protected by a set of symmetries (either the dihedral group of
Quench dynamics of topological maximally entangled states.
In the infinite-time limit the equilibrium OPES can be determined by an effective time-independent pseudomagnetic field Seff(k), and when tMESs are unstable, they are destroyed by quasiparticles within a characteristic timescale in proportion to the system size.
Statistical mechanics of the Cluster-Ising model
We study a Hamiltonian system describing a three-spin-1/2 clusterlike interaction competing with an Ising-like antiferromagnetic interaction. We compute free energy, spin-correlation functions, and