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Quantum Simulation
Zero-variance of perturbation Hamiltonian density in perturbed spin systems
arXiv
Authors: C. Itoi
Year
2018
Paper ID
23443
Status
Preprint
Abstract Read
~2 min
Abstract Words
80
Citations
N/A
Abstract
We study effects of perturbation Hamiltonian to quantum spin systems which can include quenched disorder. Model-independent inequalities are derived, using an additional artificial disordered perturbation. These inequalities enable us to prove that the variance of the perturbation Hamiltonian density vanishes in the infinite volume limit even if the artificial perturbation is switched off. This theorem is applied to spontaneous symmetry breaking phenomena in a disordered classical spin model, a quantum spin model without disorder and a disordered quantum spin model.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- We study effects of perturbation Hamiltonian to quantum spin systems which can include quenched disorder.
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