Logarithmic, Fractal and Volume-Law Entanglement in a Kitaev chain with long-range hopping and pairing

Abstract

Thanks to their prominent collective character, long-range interactions promote information spreading and generate forms of entanglement scaling, which cannot be observed in traditional systems with local interactions. In this work, we study the asymptotic behavior of the entanglement entropy for Kitaev chains with long-range hopping and pairing couplings decaying with a power law of the distance. We provide a fully-fledged analytical and numerical characterization of the asymptotic growth of the ground state entanglement in the large subsystem size limit, finding that the truly non-local nature of the model leads to an extremely rich phenomenology. Most significantly, in the strong long-range regime, we discovered that the system ground state may have a logarithmic, fractal, or volume-law entanglement scaling, depending on the value of the chemical potential and on the strength of the power law decay.

References in corpus (26)

• Quantum teleportation using active feed-forward between two Canary Islands
• Dipolar physics: A review of experiments with magnetic quantum gases
• Cavity QED with Quantum Gases: New Paradigms in Many-Body Physics
• Entanglement transition in a monitored free fermion chain -- from extended criticality to area law
• Roton-type mode softening in a quantum gas with cavity-mediated long-range interactions
• Measurement-Induced Entanglement Transitions in the Quantum Ising Chain: From Infinite to Zero Clicks
• Equivalence of critical scaling laws for many-body entanglement in the Lipkin-Meshkov-Glick model
• Measurement-induced dark state phase transitions in long-ranged fermion systems
• Fractal, logarithmic and volume-law entangled non-thermal steady states via spacetime duality
• Bridging entanglement dynamics and chaos in semiclassical systems
• Metastability and discrete spectrum of long-range systems
• Entanglement entropy in quantum spin chains with finite range interaction
• Universal Entanglement Transitions of Free Fermions with Long-range Non-unitary Dynamics
• Explicit Hamiltonians Inducing Volume Law for Entanglement Entropy in Fermionic Lattices
• Symmetry-resolved entanglement in a long-range free-fermion chain
• Subsystem Rényi Entropy of Thermal Ensembles for SYK-like models
• Edge states of the long-range Kitaev chain: an analytical study
• Quantum heat engine with long-range advantages
• Renyi entanglement entropy of Fermi liquids and non-Fermi liquids: Sachdev-Ye-Kitaev model and dynamical mean field theories
• Quantum critical behavior of entanglement in lattice bosons with cavity-mediated long-range interactions
• Logarithmic, Fractal and Volume-Law Entanglement in a Kitaev chain with long-range hopping and pairing
• Entanglement entropy in long-range harmonic oscillators
• Eigenstate entanglement in integrable collective spin models
• Entanglement entropy of the long-range Dyson hierarchical model
• Mutual information for fermionic systems
• Spreading of a local excitation in a Quantum Hierarchical Model

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• Stabilization of Discrete Time-Crystaline Response on a Superconducting Quantum Computer by increasing the Interaction Range
• Slow decay rate of correlations induced by long-range extended Dzyaloshinskii-Moriya interactions
• Electrical, thermal and thermoelectric transport in open long-range Kitaev chain