研究了反铁磁海森堡模型的单重态基态与实验测得的反铁磁体Néel态之间的相互作用。为了验证假设[M. I. Katsnelson等人,Phys.Rev.B63,212404(2001)],后者可以被认为是局域测量破坏量子基态纠缠的结果,我们对一维反铁磁自旋1/2系统的各种类型和程度的磁各向异性的情况下的von Neumann测量的影响进行了系统的模拟。发现在基态,磁化测量可以产生退相干波[M. I. Katsnelson等人,Phys.Rev.A62,022118(2000)],并且对称性破坏各向异性不会导致自旋在特定方向上的对准。然而,对于与交换常数相同量级的易轴各向异性,对单重态基态的测量可以在实验可达到的尺寸的有限系统中创建Néel有序。
英文摘要:
The interplay between the singlet ground state of the antiferromagnetic Heisenberg model and the experimentally measured Néel state of antiferromagnets is studied. To verify the hypothesis [M. I. Katsnelson et al., Phys. Rev. B 63, 212404 (2001)] that the latter can be considered to be a result of local measurements destroying the entanglement of the quantum ground state, we have performed systematic simulations of the effects of von Neumannmeasurements for the case of a one-dimensional antiferromagnetic spin-1/2 system for various types and degrees of magnetic anisotropies. It is found that in the ground state, a magnetization measurement can create decoherence waves [M. I. Katsnelson et al. Phys. Rev. A 62, 022118 (2000)] in the magnetic sublattices, and that a symmetry breaking anisotropy does not lead to alignment of the spins in a particular direction. However, for an easy-axis anisotropy of the same order magnitude as the exchange constant, a measurement on the singlet ground state can create Néel-ordering in finite systems of experimentally accessible size.
True decoherence-free-subspace derived from a semiconductor double quantum dot Heisenberg spin-trimer
Seoul National University(首尔大学);École polytechnique fédérale de Lausanne (EPFL)(洛桑联邦理工学院);Weizmann Institute of Science(魏茨曼科学研究所);Korea Research Institute of Standards and Science(韩国标准科学研究院);Pusan National University(釜山国立大学)