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Connecting Distant Ends of One-dimensional Critical Systems by a Sine-square Deformation by Hikihara, Toshiya; Nishino, Tomotoshi is a scholarly article available to read on EtoBox.

What is Connecting Distant Ends of One-dimensional Critical Systems by a Sine-square Deformation about?

We study the one-dimensional quantum critical spin systems with the sine-square deformation, in which the energy scale in the Hamiltonian at the position $x$ is modified by the function $f_x = \sin^2\left[{\pi}{L}(x-1/2)]$, where $L$ is the length of the system. By investigating the entanglement entropy, spin correlation functions, and wave-function overlap, we show that the sine-square deformation changes the topology of the geometrical connection of the ground state drastically; Although the system apparently has open edges, the sine-square deformation links those ends and realizes the periodic ground state at the level of wave function. Our results propose a new method to control the topology of quantum states by energy-scale deformation.

Author

Hikihara, Toshiya; Nishino, Tomotoshi

Published

2010

Language

EN