Dynamical Hamiltonian engineering of 2D rectangular lattices in a one-dimensional ion chain
Abstract
Controlling the interaction graph between spins or qubits in a quantum simulator allows user-controlled tailoring of native interactions to achieve a target Hamiltonian. Engineering long-ranged phonon-mediated spin–spin interactions in a trapped ion quantum simulator offers such a possibility. Trapped ions, a leading candidate for quantum simulation, are most readily trapped in a linear 1D chain, limiting their utility for readily simulating higher dimensional spin models. In this work, we introduce a hybrid method of analog-digital simulation for simulating 2D spin models which allows for the dynamic changing of interactions to achieve a new graph using a linear 1D chain. We focus this numerical work on engineering 2D rectangular nearest-neighbor spin lattices, demonstrating that the required control parameters scale linearly with ion number. This hybrid approach offers compelling possibilities for the use of 1D chains in the study of Hamiltonian quenches, dynamical phase transitions, and quantum transport in 2D and 3D.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Apr 26, 2019
- Source ID
- 10.1038/s41534-019-0147-x
Entities
People
- Ashok Ajoy
- Chung-You Shih
- Fereshteh Rajabi
- Nikhil Kotibhaskar
- Qudsia Quraishi
- Rajibul Islam
- Sainath Motlakunta
Organizations
- Innovation, Science and Economic Development Canada
- Institute for Quantum Computing
- United States Army Research Laboratory
- University of California, Berkeley
- University of Waterloo