Bulletin of the American Physical Society
APS March Meeting 2022
Volume 67, Number 3
Monday–Friday, March 14–18, 2022; Chicago
Session W15: NonEquilibrium Phases Using Synthetic DimensionsInvited Live Streamed

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Sponsoring Units: DCMP Chair: Chenxing Luo, Columbia University Room: McCormick Place W183C 
Thursday, March 17, 2022 3:00PM  3:36PM 
W15.00001: Bloch Oscillations Along a Synthetic Dimension of Atomic Trap States Invited Speaker: Hannah Price Synthetic dimensions provide a powerful approach for simulating condensed matter physics in cold atoms and photonics, whereby a set of discrete degrees of freedom are coupled together and reinterpreted as lattice sites along an extra artificial dimension. We experimentally realise for the first time a very long and controllable synthetic dimension of atomic harmonic trap states. To create this, we couple atomic trap states by dynamically modulating the trapping potential of the atomic cloud with patterned light. By controlling the detuning between the frequency of the driving potential and the trapping frequency, we implement a controllable force in the synthetic dimension. This induces Bloch oscillations in which atoms move periodically up and down tens of atomic trap states. We experimentally observe the key characteristics of this behaviour in the real space dynamics of the cloud, and verify our observations with numerical simulations and semiclassical theory. This experiment provides an intuitive approach for the manipulation and control of highlyexcited trap states, and sets the stage for the future exploration of topological physics in higher dimensions. 
Thursday, March 17, 2022 3:36PM  4:12PM 
W15.00002: Energy pumping, quantum state boosting, and new topological phases of matter with multitone driving Invited Speaker: Philip Crowley Quantum simulators provide experimental access to the dynamics many body quantum systems coupled to a driving field. We show that this setting allows for new and robust topological phases of driven quantum matter: in systems of particles driven by multitone drives, we uncover the “anomalous localised topological phase” characterised by quantised edge modes which nonadiabatically pump energy. This phase has no analogue in static systems, and is robust to the presence of interactions. 
Thursday, March 17, 2022 4:12PM  4:48PM 
W15.00003: Dynamical phases in quasiperiodically driven quantum manybody systems Invited Speaker: Philipp Dumitrescu Quantum manybody systems driven farfromequilibrium display a rich set of universal phenomena, which can generalize the notion of equilibrium phases. In this talk, we will discuss how such dynamic phases arise when quasiperiodically driving an isolated interacting manybody system with two or more incommensurate frequencies. We can make precise a notion of multiple emergent timetranslation symmetries, which allows the construction of phases that fundamentally cannot be realized in static or periodically driven systems. This includes timequasicrystals and timetranslation symmetry protected topological phases. For these new phases to meaningfully exist, they must resist unbounded heating for at least a parametrically long time. We establish regimes for which this is the case and, along the way, derive an analytical description of the preheating regime for highfrequency quasiperiodic driving. Finally, we discuss a recent experimental implementation of a timetranslation symmetry protected topological phase on a trappedion quantum processor. Relying solely on the emergent timetranslation symmetries provides a more stable protection of the topological edge states against coherent errors as compared to edge state protection in phases build on an approximate microscopic symmetry. 
Thursday, March 17, 2022 4:48PM  5:24PM 
W15.00004: Exploring 2D synthetic quantum Hall physics with a quasiperiodically driven qubit Invited Speaker: Alexander Sushkov Quasiperiodically driven quantum systems are predicted to exhibit quantized topological properties, in analogy with the quantized transport properties of topological insulators. We use a single nitrogenvacancy center in diamond to experimentally study a synthetic quantum Hall effect with a twotone drive. We measure the evolution of trajectories of two quantum states, initially prepared at nearby points in synthetic phase space. We detect the synthetic Hall effect through the predicted overlap oscillations at a quantized fundamental frequency proportional to the Chern number, which characterizes the topological phases of the system. We further observe halfquantization of the Chern number at the transition between the synthetic Hall regime and the trivial regime, and the associated concentration of local Berry curvature in synthetic phase space. Our work opens up the possibility of using driven qubits to design and study higherdimensional topological insulators and semimetals in synthetic dimensions. 
Thursday, March 17, 2022 5:24PM  6:00PM 
W15.00005: Solitons and quantization in nonlinear topological systems Invited Speaker: Mikael C Rechtsman The description of the topological properties of condensed matter, photonic, or other wave systems is most natural in the linear (i.e., noninteracting) domain, where invariants such as the Chern number can be described as integrals over momentum space. Here we discuss several experiments on nonlinear topological systems, including the observation of optical spatial solitons therein, as well as the integer and fractional quantization of soliton motion in Thouless pumps. 
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