Singly-excited resonant open quantum system Tavis-Cummings model with quantum circuit mapping

Area of Science:

• Quantum physics
• Atomic physics
• Solid-state physics
• Quantum optics

Background:

• Tavis-Cummings (TC) cavity quantum electrodynamical effects describe the interaction of N atoms with an optical resonator.
• Full numerical simulation of TC dynamics scales exponentially with the number of atoms, limiting scalability.
• Experimental realizations in quantum optics often involve a single excitation regime.

Purpose of the Study:

• To analytically solve the TC model for an arbitrary number of atoms.
• To develop an efficient quantum circuit algorithm for simulating TC dynamics.
• To benchmark the algorithm's robustness on quantum hardware.

Main Methods:

• Analytical solution of the TC model under a single excitation restriction.
• Development of the Quantum Mapping Algorithm of Resonator Interaction with N Atoms (Q-MARINA).
• Implementation of Q-MARINA on quantum simulators and superconducting quantum processors.
• Comparison with quantum master equation solutions on classical computers.

Main Results:

• Achieved an analytical solution for the TC model with linear complexity.
• Devised Q-MARINA, a quantum circuit mapping with linear space and time scaling.
• Demonstrated the algorithm's robustness and scalability for simulating light-atom interactions.

Conclusions:

• The developed analytical solution and Q-MARINA algorithm offer a scalable approach to simulating cavity quantum electrodynamics.
• Q-MARINA provides an intuitive quantum circuit representation for TC dynamics.
• The study validates the algorithm's performance on current quantum computing platforms.