Entropic analysis of quantum phase transitions from uniform to spatially inhomogeneous phases

Abstract

We propose a new approach to study quantum phase transitions in low-dimensional fermionic or spin models that go from uniform to spatially inhomogeneous phases such as dimerized, trimerized, or incommensurate phases. It is based on studying the length dependence of the von Neumann entropy and its corresponding Fourier spectrum for finite segments in the ground state of finite chains. Peaks at a nonzero wave vector are indicators of oscillatory behavior in decaying correlation functions.

4 pages, 7 figures

References in corpus (5)

• Quantum Phase Transitions and Bipartite Entanglement
• Entanglement in a second order quantum phase transition
• Entanglement in a first order quantum phase transition
• Entanglement and Quantum Phase Transition Revisited
• Single-Site Entanglement of Fermions at a Quantum Phase Transition

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