Quantum simulations with complex geometries and synthetic gauge fields in a trapped ion chain

• URL: http://arxiv.org/abs/2007.02139v1
• Date: Sat, 4 Jul 2020 16:48:09 GMT
• Title: Quantum simulations with complex geometries and synthetic gauge fields in a trapped ion chain
• Authors: Tom Manovitz and Yotam Shapira and Nitzan Akerman and Ady Stern and Roee Ozeri
• Abstract summary: We introduce a technique that can substantially extend the reach of quantum simulators using an external field gradient along the ion chain and a global, uniform driving field. The technique can be used to generate both static and time-varying synthetic gauge fields in a linear chain of trapped ions. It enables continuous simulation of geometries of a variety of coupling and topologies, including periodic boundary conditions and high dimensional Hamiltonians.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In recent years, arrays of atomic ions in a linear RF trap have proven to be a particularly successful platform for quantum simulation. However, a wide range of quantum models and phenomena have, so far, remained beyond the reach of such simulators. In this work we introduce a technique that can substantially extend this reach using an external field gradient along the ion chain and a global, uniform driving field. The technique can be used to generate both static and time-varying synthetic gauge fields in a linear chain of trapped ions, and enables continuous simulation of a variety of coupling geometries and topologies, including periodic boundary conditions and high dimensional Hamiltonians. We describe the technique, derive the corresponding effective Hamiltonian, propose a number of variations, and discuss the possibility of scaling to quantum-advantage sized simulators. Additionally, we suggest several possible implementations and briefly examine two: the Aharonov-Bohm ring and the frustrated triangular ladder.

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