Steered quantum coherence as a signature of quantum phase transitions in spin chains

Abstract

We propose to use the steered quantum coherence (SQC) as a signature of quantum phase transitions (QPTs). By considering various spin chain models, including the transverse-field Ising model, \textit{XY} model, and \textit{XX} model with three-spin interaction, we showed that the SQC and its first-order derivative succeed in signaling different critical points of QPTs. In particular, the SQC method is effective for any spin pair chosen from the chain, and the strength of SQC, in contrast to entanglement and quantum discord, is insensitive to the distance (provided it is not very short) of the tested spins, which makes it convenient for practical use as there is no need for careful choice of two spins in the chain.

arXiv comment8 pages, 6 figures

References in corpus (54)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Introducing Quantum Discord
• Quantifying Coherence
• Topological entanglement entropy
• Classical, quantum and total correlations
• Scaling of Entanglement close to a Quantum Phase Transitions
• Quantum Coherence as a Resource
• Entanglement in a simple quantum phase transition
• Entanglement spectrum of a topological phase in one dimension
• Measuring Quantum Coherence with Entanglement
• Decay of Loschmidt Echo Enhanced by Quantum Criticality
• Classical Correlation and Quantum Discord in Critical Systems
• Observable measure of quantum coherence in finite dimensional systems
• Quantum correlations in spin chains at finite temperatures and quantum phase transitions
• Quantum discord and quantum phase transition in spin chains
• Converting Coherence to Quantum Correlations
• The resource theory of informational nonequilibrium in thermodynamics
• Quantum coherence in multipartite systems
• Quantum discord for general two--qubit states: Analytical progress
• Quantum coherence and geometric quantum discord
• Computing quantum discord is NP-complete
• Coherence as a resource in decision problems: The Deutsch-Jozsa algorithm and a variation
• Duality of Quantum Coherence and Path Distinguishability
• Quantum coherence and uncertainty in the anisotropic XY chain
• Three-spin interactions in optical lattices and criticality in cluster Hamiltonians
• Entanglement, quantum phase transition and scaling in XXZ chain
• Quantum and classical thermal correlations in the XY spin-1/2 chain
• Relations between coherence and path information
• Decoherence induced by interacting quantum spin baths
• Coherence depletion in the Grover quantum search algorithm
• A Unified View of Quantum Correlations and Quantum Coherence
• Measuring Coherence with Entanglement Concurrence
• Non-Local Advantage of Quantum Coherence
• Quantum Correlations and Coherence in Spin-1 Heisenberg Chains
• Entanglement and coherence in quantum state merging
• Disentanglement in a quantum critical environment
• Quantum and classical correlations in the one-dimensional XY model with Dzyaloshinskii-Moriya interaction
• Relative quantum coherence, incompatibility, and quantum correlations of states
• Entanglement, fidelity and topological entropy in a quantum phase transition to topological order
• Coherence susceptibility as a probe of quantum phase transitions
• Quantum correlations in topological quantum phase transitions
• The ground state entanglement in the $XXZ$ model
• Phase Diagram of the spin S=1/2 Extended XY model
• Hierarchy of the nonlocal advantage of quantum coherence and Bell nonlocality
• Nonlocal advantage of quantum coherence in high-dimensional states
• Quantum coherence of steered states
• Criticality and factorization in the Heisenberg chain with Dzyaloshinskii-Moriya interaction
• Extracting quantum coherence via steering
• Universal role of correlation entropy in critical phenomena
• Estimating coherence measures from limited experimental data available
• The Wigner-Yanase information can increase under phase sensitive incoherent operations
• Entanglement and spin squeezing in the three-qubit transverse Ising model
• Detecting coherence via spectrum estimation
• Quantum information approach to the quantum phase transition in the Kitaev honeycomb model

Cited by in corpus (11)

• Quantum coherence and spin nematic to nematic quantum phase transitions in biquadratic spin-1 and -2 XY chains with rhombic single-ion anisotropy
• Characterizing quantum criticality and steered coherence in the XY-Gamma chain
• Finite-size scaling of coherence and steered coherence in the Lipkin-Meshkov-Glick model
• Detecting out-of-time-order correlations via quasi-adiabatic echoes as a tool to reveal quantum coherence in equilibrium quantum phase transitions
• Nonlocal Advantages of Quantum Imaginarity
• Visualizing quantum phase transitions in the XXZ model via the quantum steering ellipsoid
• Correlation-induced coherence and its use in detecting quantum phase transitions
• Distribution of quantum coherence and quantum phase transition in the Ising system
• Unveiling quantum entanglement and correlation of sub-Ohmic and Ohmic baths for quantum phase transitions in dissipative systems
• Diagnosing Quantum Phases Using Long-Range Two-Site Quantum Resource Behaviors
• Experimental demonstration of complementarity relations between quantum steering criteria