Stuttgart 2012 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 70: Quanteninformation: Konzepte und Methoden 6
Q 70.6: Talk
Friday, March 16, 2012, 15:15–15:30, V7.03
Breaking of momentum-space reflection invariance in fermionic models — •Zoltan Zimboras and Zoltan Kadar — Quantum Information Theory Group, ISI, Torino.
We prove that the ground state of a (translation-invariant) quadratic fermionic Hamiltonian can only break momentum-space reflection invariance, if the Hamiltonian is gapless and the ground state itself has algebraic decaying correlations. We discuss the relevance of this theorem in Hartree-Fock approxiamtions, in quantum control, and in entanglement theory [1].
[1] Zoltan Kadar and Zoltan Zimboras, Phys. Rev. A 82, 032334 (2010).