Quantum uncertainty in critical systems with three spins interaction

Abstract

In this article we consider two spin$-1/2$ chains described, respectively, by the thermodynamic limit of the $XY$ model with the usual two site interaction, and an extension of this model (without taking the thermodynamics limit), called $XYT$, were a three site interaction term is presented. To investigate the critical behaviour of such systems we employ tools from quantum information theory. Specifically, we show that the local quantum uncertainty, a quantity introduced in order to quantify the minimum quantum share of the variance of a local measurement, can be used to indicate quantum phase transitions presented by these models at zero temperature. Due to the connection of this quantity with the quantum Fisher information, the results presented here may be relevant for quantum metrology and quantum thermodynamics.

6 pages, 4 figures. Comments are welcome

References in corpus (7)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Quantum discord and the power of one qubit
• Experimental quantum computing without entanglement
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• Quantum coherence and uncertainty in the anisotropic XY chain
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