Simulating the Hamiltonian of Dimer Atomic Spin Model of One Dimensional Optical Lattice on Quantum Computers

• URL: http://arxiv.org/abs/2201.01753v1
• Date: Wed, 5 Jan 2022 18:31:00 GMT
• Title: Simulating the Hamiltonian of Dimer Atomic Spin Model of One Dimensional Optical Lattice on Quantum Computers
• Authors: Sudev Pradhan, Amlandeep Nayak, Sritam Kumar Satpathy, Tanmaya Shree Behera, Ankita Misra, Debashis Swain, Bikash K. Behera
• Abstract summary: The Hamiltonian of a coupled one-dimensional dissipative spin system in the presence of magnetic field can be obtained from the Ising model. We simulate the above Hamiltonian by designing a quantum circuit with precise gate measurement. We also estimate the ground and first excited energy states of Ising-Hamiltonian using VQE algorithm.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The one-dimensional Ising model with its connections to several physical concepts plays a vital role in comprehension of several principles, phenomena and numerical methods. The Hamiltonian of a coupled one-dimensional dissipative spin system in the presence of magnetic field can be obtained from the Ising model. We simulate the above Hamiltonian by designing a quantum circuit with precise gate measurement and execute with the IBMQ experience platform through different $N$ states with controlled energy separation where we can check quantum synchronization in a dissipative lattice system. Our result shows the relation between various entangled states, the relation between the different energy separation ($\omega$) with the spin-spin coupling ($\lambda$) in the lattice, along with fidelity calculations for several iterations of the model used. We also estimate the ground and first excited energy states of Ising-Hamiltonian using VQE algorithm and investigate the lowest energy values varying the number of layers of ansatz.

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