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Quantum fidelity in the thermodynamic limit

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arxiv 1010.1048 v2 pith:EHTUMD7C submitted 2010-10-06 quant-ph cond-mat.stat-mechcond-mat.str-el

Quantum fidelity in the thermodynamic limit

classification quant-ph cond-mat.stat-mechcond-mat.str-el
keywords fidelityquantumthermodynamicchaincriticaldropencodesexpression
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study quantum fidelity, the overlap between two ground states of a many-body system, focusing on the thermodynamic regime. We show how drop of fidelity near a critical point encodes universal information about a quantum phase transition. Our general scaling results are illustrated in the quantum Ising chain for which a remarkably simple expression for fidelity is found.

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