The entanglement resonance in anisotropic spin-1/2 Heisenberg chains of different couplings is investigated when the nearest neighbor coupling is periodically modulated with external magnetic field. When the modulation frequency equals twice of the magnetic field, the entanglement resonance is larger than that at other modulation frequencies and decreases as the number of spins in the chain increases. When the modulation frequency equals the magnetic field, the entanglement resonance can be reduced to a quite low value by varying the coupling along z axis.The entanglement resonance in anisotropic spin-1/2 Heisenberg chains of different couplings is investigated when the nearest neighbor coupling is periodically modulated with external magnetic field. When the modulation frequency equals twice of the magnetic field, the entanglement resonance is larger than that at other modulation frequencies and decreases as the number of spins in the chain increases. When the modulation frequency equals the magnetic field, the entanglement resonance can be reduced to a quite low value by varying the coupling along z axis.

Communications in Theoretical PhysicsJul 1, 20111 citation

Entanglement in Spin Chains

K. Sengupta

arXiv:2109.02657Quantum science and technologyJan 1, 202232 citations

Entanglement spectrum in Spin Chains

Ronny Thomale, Daniel P. Arovas, Bogdan Andrei Bernevig

Bulletin of the American Physical SocietyMar 16, 20101 citation

Role of external fields in enhancing long-distance entanglement at finite temperatures

Tomotaka Kuwahara

We investigate the end-to-end entanglement of a general XYZ -spin chain at the non-zero temperatures. The entanglement usually vanishes at a certain critical temperature T c , but external fields can make T c higher. We obtain a general statement on the increase of the critical temperature T c by the external fields. We prove that if the two end spins are separated by two spins or more, then the critical temperature cannot be higher than a certain finite temperature ( ), that is, the entanglement must vanish above the temperature for any values of the external fields. On the other hand, if the two end spins are separated by one spin, then the entanglement maximized by the external fields exhibits a power-law decay of the temperature, being finite at any temperatures. In order to demonstrate the former case, we numerically calculate the temperature in XX and XY four-spin chains. We find that the temperature shows qualitatively different behavior, depending on the conservation of the angular momentum in the z direction.We investigate the end-to-end entanglement of a general XYZ -spin chain at the non-zero temperatures. The entanglement usually vanishes at a certain critical temperature T c , but external fields can make T c higher. We obtain a general statement on the increase of the critical temperature T c by the external fields. We prove that if the two end spins are separated by two spins or more, then the critical temperature cannot be higher than a certain finite temperature ( ), that is, the entanglement must vanish above the temperature for any values of the external fields. On the other hand, if the two end spins are separated by one spin, then the entanglement maximized by the external fields exhibits a power-law decay of the temperature, being finite at any temperatures. In order to demonstrate the former case, we numerically calculate the temperature in XX and XY four-spin chains. We find that the temperature shows qualitatively different behavior, depending on the conservation of the angular momentum in the z direction.

arXiv:1204.2337Journal of Physics A Mathematical and TheoreticalMar 28, 20131 citation

Different Measures of Entanglement in Spin Chains

V. E. Korepin

Bulletin of the American Physical SocietyMar 1, 20120 citations

Transient entanglement in a spin chain stimulated by phase pulses

Isabel Sainz, Gennadiy N Burlak, A. B. Klimov

Dynamics of the one-dimensional open Ising chain under influence of $π$ -pulses is studied. It is shown that the application of a specific sequence of such instant kicks to selective spins stimulates arising of perfect dynamical pairwise entanglement between ends of the spin chain. Analytic formulas for the concurrence dynamics are derived. It is also shown that the time required to perfectly entangle the ends of the chains grows linearly with the number of spins in the chain. The final entangled state of the ending spins is always the same and does not depend on length the chain.Dynamics of the one-dimensional open Ising chain under influence of $π$ -pulses is studied. It is shown that the application of a specific sequence of such instant kicks to selective spins stimulates arising of perfect dynamical pairwise entanglement between ends of the spin chain. Analytic formulas for the concurrence dynamics are derived. It is also shown that the time required to perfectly entangle the ends of the chains grows linearly with the number of spins in the chain. The final entangled state of the ending spins is always the same and does not depend on length the chain.

arXiv:1008.2784Aug 16, 20101 citation

Dynamics of the one-dimensional open Ising chain under influence of

π

-pulses is studied. It is shown that the application of a specific sequence of such instant kicks to selective spins stimulates arising of perfect dynamical pairwise entanglement between ends of the spin chain. Analytic formulas for the concurrence dynamics are derived. It is also shown that the time required to perfectly entangle the ends of the chains grows linearly with the number of spins in the chain. The final entangled state of the ending spins is always the same and does not depend on length the chain.