Wednesday, February 13, 2013

1302.2700 (Toshiya Hikihara et al.)

Long distance entanglement in one-dimensional quantum systems under
sinusoidal deformation
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Toshiya Hikihara, Takafumi Suzuki
We investigate entanglement generation in one-dimensional quantum spin systems with the sinusoidal deformation. In the systems, the energy scale of local Hamiltonian at the position x is modified according to the rescaling function \sin^\alpha[\frac{\pi}{N} (x - 1/2)], where N is the length of the system. We show that at zero temperature the system with \alpha \ge 2 is able to generate a sizable entanglement between two spins at open edges even when the two spins are infinitely far apart. This long-distance entanglement is rather robust against thermal fluctuations and survives up to a temperature that decays with the system size slowly, in an algebraic form.
View original: http://arxiv.org/abs/1302.2700

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