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Quantum macroscopicity measure for arbitrary spin systems and its application to quantum phase transitions

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arxiv 1510.02876 v2 pith:6WUUMZ7Y submitted 2015-10-10 quant-ph

Quantum macroscopicity measure for arbitrary spin systems and its application to quantum phase transitions

classification quant-ph
keywords quantummacroscopicmacroscopicityphasearbitraryimportantmeasurespin
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We explore a previously unknown connection between two important problems in physics, i.e., quantum macroscopicity and the quantum phase transition. We devise a general and computable measure of quantum macroscopicity that can be applied to arbitrary spin states. We find that a macroscopic quantum superposition of an extremely large size arises during the quantum phase transition of the transverse Ising model in contrast to some seeming macroscopic quantum phenomena such as superconductivity, superfluidity and Bose-Einstein condensates. Our result may be an important step forward in understanding macroscopic quantum properties of many-body systems.

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