Quench Induced Growth of Distant Entanglement from Product and Locally Entangled States in Spin Chains

Abstract

We study the problem of entangling two spins at the distant ends of a spin chain by exploiting the nonequilibrium dynamics of the system after a sudden global quench. As initial states we consider a canted/spiral order product state of the spins, and singlets of neighboring pairs of spins. We find that within the class of canted order initial states, no entanglement is generated at any time except for the special case of the Neel state. While an earlier work had shown that the Neel state is indeed an excellent starting resource for the dynamical generation of long distance entanglement, the curious fact that this is the sole point within a large class of initial product states of the spins was not noted. On the other hand, we find that an initial state which is a series of nearest neighbor Bell states, and well motivated by some physical realizations, is also a good starting resource for end to end entanglement in a similar way to the Neel state.

12 pages, 10 figures

References in corpus (22)

• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• Microscopic observation of magnon bound states and their dynamics
• The Propagation of Quantum Information Through a Spin System
• Entanglement growth in quench dynamics with variable range interactions
• Perfect state transfer on a spin-chain without state initialization
• Long-distance entanglement and quantum teleportation in XX spin chains
• Non-Perturbative Entangling Gates between Distant Qubits using Uniform Cold Atom Chains
• Controlling and Detecting Spin Correlations of Ultracold Atoms in Optical lattices
• Improved transfer of quantum information using a local memory
• Entanglement dynamics in chains of qubits with noise and disorder
• Quantum Many-Body Dynamics of Coupled Double-Well Superlattices
• Entanglement Routers Using Macroscopic Singlets
• Exploiting Quench Dynamics in Spin Chains for Distant Entanglement and Quantum Communication
• Long-distance entanglement and quantum teleportation in coupled cavity arrays
• Preparation and detection of magnetic quantum phases in optical superlattices
• Entanglement and dynamics of spin-chains in periodically-pulsed magnetic fields: accelerator modes
• Prethermalization and dynamical transition in an isolated trapped ion spin chain
• Practicality of spin chain 'wiring' in diamond quantum technologies
• Modular Entanglement
• Entanglement in a Time-Dependent Coupled XY Spin Chain in an External Magnetic Field
• Perfect mirror transport protocol with higher dimensional quantum chains
• Entanglement Enhanced Information Transfer through Strongly Correlated Systems and its Application to Optical Lattices

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• Ballistic Entanglement Cloud after a Boundary Quench