Controlling the phase diagram of finite spin- 12 chains by tuning the boundary interactions
Shi-Ju Ran, Cheng Peng, Gang Su, Maciej Lewenstein
2018
Physical review B
Searching for simple models that possess non-trivial controlling properties is one of the central tasks in the field of quantum technologies. In this work, we construct a quantum spin-1/2 chain of finite size, termed as controllable spin wire (CSW), in which we have Ŝ^zŜ^z (Ising) interactions with a transverse field in the bulk, and Ŝ^xŜ^z and Ŝ^zŜ^z couplings with a canted field on the boundaries. The Hamiltonians on the boundaries, dubbed as tuning Hamiltonians (TH's), bear the same form as
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... he effective Hamiltonians emerging in the so-called 'quantum entanglement simulator' that is originally proposed for mimicking infinite models. We show that tuning the TH's (parametrized by α) can trigger non-trivial controlling of the bulk properties, including the degeneracy of energy/entanglement spectra, and the response to the magnetic field h_bulk in the bulk. A universal point dubbed as α^s emerges. For α > α^s, the ground-state diagram versus h_bulk consists of three 'phases', which are NeéL and polarized phases, and an emergent pseudo-magnet phase, distinguished by entanglement and magnetization. For α < α^s, the phase diagram changes completely, with no step-like behaviors to distinguish phases. Due to its controlling properties and simplicity, the CSW could potentially serve in future the experiments for developing quantum devices.
doi:10.1103/physrevb.98.085111
fatcat:52djwqe3iree3epjjebpwm44uy