Trapped-Ion Quantum Simulation of an Ising Model with Transverse and Longitudinal Fields
MARYLAND UNIV COLLEGE PARK DEPT OF PHYSICS
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We perform a quantum simulation of an Ising model with long-range interactions and both transverse and longitudinal fields - the most general external field configuration - in a system of 6 to 10 trapped atomic ions. Quantum fluctuations at zero temperature drive the ground state spin ordering through several classical first-order phase transitions as the strength of the longitudinal field is increased. The Hamiltonian under study generates a fractal Devils staircase structure and maps onto a large number of many-body and energy-optimization problems, showing how quantum simulation can potentially find solutions that are classically intractable.
- Theoretical Mathematics
- Computer Programming and Software
- Atomic and Molecular Physics and Spectroscopy
- Quantum Theory and Relativity