Transverse Field Ising Model Under Hyperbolic Deformation

Understand

Ground state of the one-dimensional transverse field Ising model is investigated under the hyperbolic deformation, where the energy scale of j-th bond is proportional to the function \cosh ( j \lambda ) that contains a parameter \lambda.

• Although the Hamiltonian is position dependent, the ground state is nearly uniform and finitely correlated.
• We observe the energy cross over between the ordered and disordered state with respect to the transverse field.
• The model shows first order phase transition, and the discontinuities in the magnetization and entanglement entropy at the transition point detect the Ising universality.