Geometric phases and criticality in spin-chain systems
- Autori: Carollo, A; Pachos, JK
- Anno di pubblicazione: 2005
- Tipologia: Articolo in rivista (Articolo in rivista)
- Parole Chiave: Quantum phase transitions; Spin-chain systems
- OA Link: http://hdl.handle.net/10447/56208
Abstract
A relation between geometric phases and criticality of spin chains is established. As a result, we show how geometric phases can be exploited as a tool to detect regions of criticality without having to undergo a quantum phase transition. We analytically evaluate the geometric phase that corresponds to the ground and excited states of the anisotropic XY model in the presence of a transverse magnetic field when the direction of the anisotropy is adiabatically rotated. It is demonstrated that the resulting phase is resilient against the main sources of errors. A physical realization with ultracold atoms in optical lattices is presented