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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