Quantum simulation of a system with competing two- and three-body interactions

Abstract

Quantum phase transitions occur at zero temperature, when the ground state of a Hamiltonian undergoes a qualitative change as a function of a control parameter. We consider a particularly interesting system with competing one-, two- and three-body interactions. Depending on the relative strength of these interactions, the ground state of the system can be a product state, or it can exhibit genuine tripartite entanglement. We experimentally simulate such a system in an NMR quantum simulator and observe the different ground states. By adiabatically changing the strength of one coupling constant, we push the system from one ground state to a qualitatively different ground state. We show that these ground states can be distinguished and the transitions between them observed by measuring correlations between the spins or the expectation values of suitable entanglement witnesses.

4 pages, 5 figures

References in corpus (8)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Quantum Criticality in Heavy Fermion Metals
• Bose-Einstein Condensation in Magnetic Insulators
• Quantum magnetism and criticality
• Three-body interactions with cold polar molecules
• Experimental implementation of an adiabatic quantum optimization algorithm
• Multipartite Entanglement Signature of Quantum Phase Transitions
• Detection of quantum critical points by a probe qubit

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