Transverse Field Ising Model Under Hyperbolic Deformation
Aug 1, 2010·
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0 min read
Hiroshi Ueda
Andrej Gendiar
Valentin Zauner
Takatsugu Iharagi
Tomotoshi Nishino
Abstract
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…
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…
Type
Authors
Associate Professor
Hiroshi Ueda is an Associate Professor at the Center for Quantum Information and Quantum Biology (QIQB), The University of Osaka.
His research focuses on tensor network methods, quantum many-body physics, quantum algorithms, and quantum-classical hybrid computation. He develops theoretical and numerical approaches for understanding quantum many-body systems and for designing quantum algorithms inspired by tensor network structures.