1,450 research outputs found
Anisotropic Rabi model
We define the anisotropic Rabi model as the generalization of the spin-boson
Rabi model: The Hamiltonian system breaks the parity symmetry; the rotating and
counter-rotating interactions are governed by two different coupling constants;
a further parameter introduces a phase factor in the counter-rotating terms.
The exact energy spectrum and eigenstates of the generalized model is worked
out. The solution is obtained as an elaboration of a recent proposed method for
the isotropic limit of the model. In this way, we provide a long sought
solution of a cascade of models with immediate relevance in different physical
fields, including i) quantum optics: two-level atom in single mode cross
electric and magnetic fields; ii) solid state physics: electrons in
semiconductors with Rashba and Dresselhaus spin-orbit coupling; iii) mesoscopic
physics: Josephson junctions flux-qubit quantum circuits.Comment: 5 pages+ 6 pages supplementary, 7 figures, accepted by Phys. Rev.
Quantum information approach to the quantum phase transition in the Kitaev honeycomb model
Kitaev honeycomb model with topological phase transition at zero temperature
is studied using quantum information method. Based on the exact solution of the
ground state, the mutual information between two nearest sites and between two
bonds with longest distance are obtained. It is found that the mutual
information show some singularities at the critical point where the ground
state of the system transits from gapless phase to gapped phase. The
finite-size effects and scalar behavior are also studied. The mutual
information can serve as good indicators of the topological phase transition,
since the mutual information catches some global correlation properties of the
system. Meanwhile, this method has other advantages such that the phase
transition can be determined easily and the order parameters are not required
previously, for the order parameters of some topological phase transitions are
hard to know.Comment: 8 pages, 7 figures, published versio
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