Simulating the Quantum Magnet

dc.creatorFriedenauer, Axel
dc.creatorSchmitz, Hector
dc.creatorGlückert, Jan Tibor
dc.creatorPorras, Diego
dc.creatorSchätz, Tobias
dc.date2008-02-27
dc.date.accessioned2026-07-07T09:23:36Z
dc.date.available2026-07-07T09:23:36Z
dc.descriptionTo gain deeper insight into the dynamics of complex quantum systems we need a quantum leap in computer simulations. We can not translate quantum behaviour arising with superposition states or entanglement efficiently into the classical language of conventional computers. The final solution to this problem is a universal quantum computer [1], suggested in 1982 and envisioned to become functional within the next decade(s); a shortcut was proposed via simulating the quantum behaviour of interest in a different quantum system, where all parameters and interactions can be controlled and the outcome detected sufficiently well. Here we study the feasibility of a quantum simulator based on trapped ions [2]. We experimentally simulate the adiabatic evolution of the smallest non-trivial spin system from the paramagnetic into the (anti-)ferromagnetic order with a quantum magnetisation for two spins of 98%, controlling and manipulating all relevant parameters of the Hamiltonian independently via electromagnetic fields. We prove that the observed transition is not driven by thermal fluctuations, but of quantum mechanical origin, the source of quantum fluctuations in quantum phase transitions [3]. We observe a final superposition state of the two degenerate spin configurations for the ferromagnetic and the antiferromagnetic order, respectively. These correspond to deterministically entangled states achieved with a fidelity up to 88%. Our work demonstrates a building block for simulating quantum spin-Hamiltonians with trapped ions. The method has potential for scaling to a higher number of coupled spins [2].
dc.description6 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0802.4072
dc.identifierhttp://arxiv.org/abs/0802.4072
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155792
dc.subjectQuantum Physics
dc.titleSimulating the Quantum Magnet
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