Quantum phase transition in the one-dimensional period-two and uniform compass model

Abstract

Quantum phase transition in the one-dimensional period-two and uniform quantum compass model are studied by using the pseudo-spin transformation method and the trace map method. The exact solutions are presented, the fidelity, the nearest-neighbor pseudo-spin entanglement, spin and pseudo-spin correlation functions are then calculated. At the critical point, the fidelity and its susceptibility change substantially, the gap of pseudo-spin concurrence is observed, which scales as $1/N$ (N is system size). The spin correlation functions show smooth behavior around the critical point. In the period-two chain, the pseudo-spin correlation functions exhibit a oscillating behavior, which is absent in the unform chain. The divergent correlation length at the critical point is demonstrated in the general trend for both cases.

5 pages, 6 figures

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• Re-examining the directional-ordering transition in the compass model with screw-periodic boundary conditions
• Fidelity susceptibility in the two-dimensional spin-orbit models
• Quantum phase transitions in coupled two-level atoms in a single-mode cavity
• Numerical study of the one-dimensional quantum compass model
• Fidelity susceptibility and quantum adiabatic condition in thermodynamic limits
• The quantum compass chain in a transverse magnetic field
• Compass and Kitaev models -- Theory and Physical Motivations
• From fidelity to entanglement of entropy of the one-dimensional transverse-field quantum compass model
• One-dimensional frustrated plaquette compass model: Nematic phase and spontaneous multimerization
• Relaxation dynamics in the alternating XY chain following a quantum quench