Floquet Hamiltonian Engineering of an Isolated Many-Body Spin System

Abstract

Controlling interactions is the key element for quantum engineering of many-body systems. Using time-periodic driving, a naturally given many-body Hamiltonian of a closed quantum system can be transformed into an effective target Hamiltonian exhibiting vastly different dynamics. We demonstrate such Floquet engineering with a system of spins represented by Rydberg states in an ultracold atomic gas. Applying a sequence of spin manipulations, we change the symmetry properties of the effective Heisenberg XYZ Hamiltonian. As a consequence, the relaxation behavior of the total spin is drastically modified. The observed dynamics can be qualitatively captured by a semi-classical simulation. Synthesising a wide range of Hamiltonians opens vast opportunities for implementing quantum simulation of non-equilibrium dynamics in a single experimental setting.

References in corpus (7)

• Thermalization and its mechanism for generic isolated quantum systems
• Probing many-body dynamics on a 51-atom quantum simulator
• Many-Body Physics with Individually-Controlled Rydberg Atoms
• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
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Cited by in corpus (6)

• Microwave-engineering of programmable XXZ Hamiltonians in arrays of Rydberg atoms
• Realizing spin squeezing with Rydberg interactions in a programmable optical clock
• Scalable spin squeezing in a dipolar Rydberg atom array
• Probing site-resolved correlations in a spin system of ultracold molecules
• Tunable itinerant spin dynamics with polar molecules
• Two-axis twisting using Floquet-engineered XYZ spin models with polar molecules