抄録
A group of non-uniform quantum lattice Hamiltonians in one dimension is introduced, which is related to the hyperbolic (1+1)-dimensional space. The Hamiltonians contain only nearest neighbor interactions whose strength is proportional to coshjλ, where j is the lattice index and where λ≥0 is a deformation parameter. In the limit λ→0 the Hamiltonians become uniform. Spacial translation of the deformed Hamiltonians is induced by the corner Hamiltonians. As a simple example, we investigate the ground state of the deformed S=1⁄2 Heisenberg spin chain by use of the density matrix renormalization group (DMRG) method. It is shown that the ground state is dimerized when λ is finite. Spin correlation function show exponential decay, and the boundary effect decreases with increasing λ.
