Quantum instability and edge entanglement in a quasi-long-range order

Abstract

We investigate the build-up of quasi-long-range order in the XX chain with transverse magnetic field at finite size. As the field is varied, the ground state of the system displays multiple level crossings producing a sequence of entanglement jumps. Using the partial fidelity and susceptibility, we study the transition to the thermodynamic limit and argue that the topological order can be described in terms of kink-antikink pairs and marked by edge spin entanglement.

5pages and 6 figures

References in corpus (14)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Entanglement in quantum critical phenomena
• Persistent entanglement in arrays of interacting particles
• Ground state overlap and quantum phase transitions
• Decay of Loschmidt Echo Enhanced by Quantum Criticality
• Fidelity, dynamic structure factor, and susceptibility in critical phenomena
• Three-spin interactions in optical lattices and criticality in cluster Hamiltonians
• Ground state fidelity from tensor network representations
• Divergence of the entanglement range in low dimensional quantum systems
• Fidelity Between Partial States as Signature of Quantum Phase Transitions
• Instability and entanglement of the ground state of the Dicke model
• Ellipses of Constant Entropy in the XY Spin Chain
• XX model on the circle
• Partial-state fidelity and quantum phase transitions induced by continuous level crossing

Cited by in corpus (28)

• Fidelity approach to quantum phase transitions
• Coherence susceptibility as a probe of quantum phase transitions
• Memory-keeping effects and forgetfulness in the dynamics of a qubit coupled to a spin chain
• Global quantum correlations in finite-size spin chains
• Propagation of non-classical correlations across a quantum spin chain
• Out of Time Ordered Correlators and Entanglement Growth in the Random Field XX Spin Chain
• XY model on the circle: diagonalization, spectrum, and forerunners of the quantum phase transition
• Perturbatively-perfect many-body transfer
• Pairwise tomography networks for many-body quantum systems
• Classification of macroscopic quantum effects
• Enhancing the Detection of Natural Thermal Entanglement with Disorder
• Entanglement in a spin system with inverse square statistical interaction
• Entanglement and magnetic order
• Manipulating and protecting entanglement by means of spin environments
• Visualizing quantum phase transitions in the XXZ model via the quantum steering ellipsoid
• Work statistics, irreversible heat and correlations build-up in joining two spin chains
• Topological pumping of quantum correlations
• Effective cutting of a quantum spin chain by bond impurities
• One-way deficit and quantum phase transitions in $XY$ model and extended Ising model
• Emergent entanglement structures and self-similarity in quantum spin chains
• Markovianity of an emitter coupled to a structured spin chain bath
• Adiabatic freezing of long-range quantum correlations in spin chains
• Bell-type correlation at quantum phase transitions in spin-1 chain
• Separability and parity transitions in $XYZ$ spin systems under nonuniform fields
• Phase diagram of quantum critical system via local convertibility of ground state
• One-way deficit and quantum phase transitions in $XX$ Model
• Finite speed heat transport in a quantum spin chain after quenched local cooling
• Thermodynamics of dilute XX chain in a field