非对称双势阱中自旋1玻色子的基态
Ground-states of spin-1 bosons in asymmetric double-wells
摘要:
在这项工作中,我们研究了两个通过隧穿连接的势阱中自旋为1的玻色子系统的不同状态,并具有自旋相关的相互作用。该模型利用了著名的玻色哈伯德哈密顿量,增加了一个本地的相互作用项,取决于在一个良好的总自旋的模量,有利于高或低自旋状态的不同符号的耦合常数。我们采用保真度的概念来检测参数的临界值,其中基态经历显着的变化。的性质的国家进行调查,通过评估的平均占用数在井和自旋相关性。一个更详细的分析是做了两个粒子系统,但三个粒子的情况下的讨论和一些结果,更大的数字。
英文摘要:
In this work we investigate the different states of a system of spin-1 bosons in two potential wells connected by tunneling, with spin-dependent interaction. The model utilizes the well-known Bose-Hubbard Hamiltonian, adding a local interaction term that depends on the modulus of the total spin in a well, favoring a high- or low-spin state for different signs of the coupling constant. We employ the concept of fidelity to detect critical values of parameters for which the ground state undergoes significant changes. The nature of the states is investigated through evaluation of average occupation numbers in the wells and of spin correlations. A more detailed analysis is done for a two-particle system, but a discussion of the three-particle case and some results for larger numbers are also presented.
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