Distribution of entanglement with variable range interactions
arXiv:2006.09257 · doi:10.1016/j.physleta.2021.127703
Abstract
Distribution of quantum entanglement is investigated for an anisotropic quantum XY model with variable range interactions and in the presence of a uniform transverse magnetic field. We report the possibility of \emph{qualitative} growth in the entanglement between distant sites with an increase in the range of interactions that vary either exponentially or polynomially as the distance between the sites increases. Interestingly, we find that such entanglement enhancement is not ubiquitous and is dependent on the factorization points, a specific set of system parameters where the zero-temperature state of the system is fully separable. In particular, we observe that at zero-temperature, when the system parameters are chosen beyond the pair of factorization points, the increments in entanglement length due to variable range interactions are more pronounced compared to the situation when the parameters lie in between the factorization points. By employing the sum of all the bipartite entanglements with respect to a single site, we also show that the shareability of the bipartite entanglements are constrained, thereby establishing their monogamous nature. Furthermore, we note that the factorization points get reallocated depending on the laws of interaction fall-offs and provide an ansatz for the same. We reveal that the temperature at which the canonical equilibrium state becomes entangled from an unentangled one increases with the increase in the range of interactions, thereby demonstrating enhanced robustness in entanglement against temperature in the presence of long-range interactions and only when the system parameters are chosen between the pair of factorization points. We apply an energy-based entanglement witness to provide a justification to the observed robustness with temperature.
arXiv commentv1: 13 pages, 8 figures; v2: 16 pages, 11 figures, new results added, close to the published version
References in corpus (36)
- Quantum entanglement
- Experimental quantum teleportation
- Mixed State Entanglement and Quantum Error Correction
- Concentrating Partial Entanglement by Local Operations
- Distributed Entanglement
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Quantifying Entanglement
- Logic gates at the surface code threshold: Superconducting qubits poised for fault-tolerant quantum computing
- Entanglement in a simple quantum phase transition
- Quantum Communication Through an Unmodulated Spin Chain
- Multi-photon entanglement and interferometry
- Quantum Resource Theories
- Quantum computing with trapped ions
- Controlled Collisions for Multiparticle Entanglement of Optically Trapped Atoms
- Information transmission through a noisy quantum channel
- Diverging Entanglement Length in Gapped Quantum Spin Systems
- Entanglement growth in quench dynamics with variable range interactions
- Benchmarking quantum control methods on a 12-qubit system
- Entanglement growth and correlation spreading with variable-range interactions in spin and fermionic tunnelling models
- Thermal entanglement of spins in a nonuniform magnetic field
- Measurement-based quantum computation with trapped ions
- Energy as an Entanglement Witness for Quantum Many-Body Systems
- Genuine Multipartite Entanglement in Quantum Phase Transitions
- Separability and ground state factorization in quantum spin systems
- Spatial entanglement of bosons in optical lattices
- Advances in quantum dense coding
- Entanglement and fluctuations in the XXZ model with power-law interactions
- Fidelity and criticality of quantum Ising chain with long-range interactions
- Probing Quantum Frustrated Systems via Factorization of the Ground State
- Thermal entanglement of spins in the Heisenberg model at low temperatures
- Separability and entanglement in finite dimer-type chains in general transverse fields
- Separability conditions and limit temperatures for entanglement detection in two qubit Heisenberg XYZ models
- Persistence of entanglement in thermal states of spin systems
- Factorized ground state for a general class of ferrimagnets
- Factorization in XYZ spin systems under general fields and separable ground state engineering
- Ground state factorization of heterogeneous spin models in magnetic fields