6533b852fe1ef96bd12ab684
RESEARCH PRODUCT
Geometric phases and criticality in spin chain systems
Jiannis K. PachosAngelo Carollosubject
Quantum phase transitionPhysicsQuantum PhysicsCondensed matter physicsCondensed Matter - Mesoscale and Nanoscale PhysicsPhase (waves)General Physics and AstronomyFOS: Physical sciencesQuantum phase transitionClassical XY modelSpin-chain systemsGeometric phaseCriticalityUltracold atomQuantum mechanicsMesoscale and Nanoscale Physics (cond-mat.mes-hall)AnisotropyQuantum Physics (quant-ph)Spin-½description
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 correspond 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. Ultra-cold atoms in optical lattices are presented as a possible physical realization.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-02-11 |