Session N02: Quantum Many-Body Physics with Rydberg Atoms

Quantum optimization through atomic quantum simulations of spin glasses

Spin glasses have been attracting continuous research interest in the field of condensed matter physics. Their ground state also encode different computation problems including NP hard ones. In this talk, I will present several protocols for quantum simulations of general spin glass models considering atomic tweezer arrays, and describe how to use such quantum simulations to solve difficult optimization problems. We construct a quantum wiring scheme, and establish a mapping from spin glass models on a graph to completely local Ising models on a cubic lattice, which allows quantum simulations of non-local spin glass models by Rydberg atoms having finite-range interactions. Considering atoms in an optical cavity, we find that this system naturally encodes the number partition problem. We construct an explicit mapping for the 3-SAT and vertex cover problems to be efficiently encoded by the cavity atom cavity system, which costs linear overhead in the number of atomic qubits. Our theory implies atomic systems are promising for demonstrating practical quantum advantage.   

Engineering many-body dynamics of Rydberg atoms for quantum-enhanced metrology

Programmable arrays of Rydberg atoms have emerged as a versatile experimental platform for studying quantum many-body physics. Our experiment combines techniques from this platform with the optical clock qubit of strontium. Here, we aim to engineer many-body dynamics that produce entangled states for quantum-enhanced metrology with optical clocks. In this talk, I will discuss how we use Rydberg interactions to realize effective Ising models and harness their early-time dynamics for preparing a range of entangled states with metrological gain.   

Many-body physics and technology with Rydberg atoms

We will discuss several research directions within the realm of many-body physics and quantum technology with Rydberg atoms. First, we will discuss a proposal to study quantum spin ice in three-dimensional Rydberg atom arrays [arXiv:2301.04657]. Second, we will discuss a proposal that uses long-range interactions, such as interactions between Rydberg atoms, to unitarily prepare chiral topologically ordered states, such as bosonic fractional quantum Hall states, in logarithmic time [arXiv.2304.13748]. Third, we will discuss a proposal for quantum non-demolition photon counting using two-dimensional Rydberg atom arrays [arXiv:2210.10798]. Fourth, we will discuss quantum sensing with erasure qubits, including Rydberg-based electrometry [arXiv:2310.01512].   

Designing spin models in Rydberg arrays

Rydberg atoms in optical tweezers offer a novel and versatile platform to realize largely tunable quantum spin models. One and two-dimensional arrays of freely definable geometry can be realized routinely. This makes this platform an ideal choice to study many-body dynamics in synthesized quantum systems. Here we discuss new developments in interaction control and design aiming to widen the scope of quantum simulation applications that can be targeted with the Rydberg tweezer platform.