Bulletin of the American Physical Society
APS March Meeting 2022
Volume 67, Number 3
Monday–Friday, March 14–18, 2022; Chicago
Session N50: Dynamical Phenomena with Floquet or QuasiPeriodic DrivingRecordings Available

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Sponsoring Units: DCMP Chair: Aditi Mitra, NYU Room: McCormick Place W474A 
Wednesday, March 16, 2022 11:30AM  11:42AM 
N50.00001: Floquet Prethermalization with Lifetime Exceeding 90 s in a Bulk Hyperpolarized Solid William Beatrez, Otto Janes, Amala Akkiraju, Arjun Pillai, Alex Oddo, Paul Reshetikhin, Emanuel Druga, Maxwell McAllister, Mark Elo, Benjamin Gilbert, Dieter Suter, Ashok Ajoy We report the observation of longlived Floquet prethermal states in a bulk solid composed of dipolarcoupled ^{13}C 
Wednesday, March 16, 2022 11:42AM  11:54AM 
N50.00002: Continuous Observation of a Long Lived Prethermal Discrete Time Crystal by Two Frequency Driving Will Beatrez*, Christoph Fleckenstein*, Sophie Conti, Arjun Pillai, Erica de Leon Sanchez, Amala Akkiraju, Marin Bukov, Ashok Ajoy We report the observation of longlived Floquet prethermal discrete time crystals (PDTCs) in a threedimensional 
Wednesday, March 16, 2022 11:54AM  12:06PM 
N50.00003: An absolutely stable open time crystal Francisco Machado, Quntao Zhuang, Norman Y Yao, Michael P Zaletel Periodically driven (Floquet) systems can host a discrete time crystal (DTC)  a phase of matter characterized by the spontaneous breaking of time translation symmetry. Time crystalline order with an infinite autocorrelation time relies upon the Floquet system's ability to avoid ergodicity; in particular, it must skirt the absorption of energy from the drive, which would otherwise lead to an infinite temperature final state. In quantum systems, this can be accomplished via strong disorder leading to manybody localization. In this talk, I will describe an entirely different setting where the DTC is stable: locallyinteracting, disorderfree, Floquet Hamiltonian dynamics coupled to a finite temperature Langevin bath. Employing a mapping from probabilistic cellular automata to open classical dynamics, the resulting DTC is stable to arbitrary perturbations, including those that break the underlying time translation symmetry of the drive. Finally, I will discuss how general results in the context of probabilistic cellular automata imply the existence of discrete time crystals in all dimensions, D≥1. 
Wednesday, March 16, 2022 12:06PM  12:18PM 
N50.00004: Emergence of Floquet time crystals in infiniterange spin systems with multibody interactions Manuel H Munoz, Karthik Chinni, Ivan Deutsch, Pablo Poggi Time crystals are outofequilibrium phases of matter emerging as a consequence of timetranslation symmetry breaking. In periodically driven systems, discrete timetranslation symmetry breaking gives rise to Floquet time crystal (FTC) phases. A FTC phase is characterized by the emergence of ordering of the Floquet eigenstates, which manifests as a subharmonic system response. In this work we study infinite range spin systems with multibody interactions, admitting an exact meanfield description, in presence of a periodic drive. Going beyond the usual case of twobody interactions, we show that the higher multibody interactions give rise to FTC phases showing eigenstate ordering leading to system responses with periods as large as the degree of the interaction. Using the meanfield description of these models, and relying on the phenomenology of dynamical flows and area preserving maps, we construct a classical picture of FTC phases in driven Hamiltonian systems. Finally, in systems hosting more than one FTC phase, we explore control protocols to extract rigid system responses carrying more than one subharmonic frequency. 
Wednesday, March 16, 2022 12:18PM  12:30PM 
N50.00005: Longlived π edge modes of interacting and disorderfree Floquet spin chains Aditi Mitra Floquet spin chains have been a venue for understanding topological states of matter that are qualitatively 
Wednesday, March 16, 2022 12:30PM  12:42PM 
N50.00006: Universal transport in periodically driven systems without longlived quasiparticles Mark Rudner, Iliya Esin, Gil Refael, Erez Berg, Netanel Lindner An intriguing regime of universal charge transport at high entropy density has been proposed for periodically driven interacting onedimensional systems with Bloch bands separated by a large singleparticle band gap. For weak interactions, a simple picture based on welldefined Floquet quasiparticles suggests that the system should host a quasisteady state current that depends only on the populations of the system's FloquetBloch bands and their associated quasienergy winding numbers. Here we show that such topological transport persists into the strongly interacting regime where the singleparticle lifetime becomes shorter than the drive period. Analytically, we show that the value of the current is insensitive to interactioninduced band renormalizations and lifetime broadening when certain conditions are met by the system's nonequilibrium distribution function, and show that these conditions correspond to a quasisteady state. We support these predictions through numerical simulation of a system of strongly interacting fermions in a periodicallymodulated chain of SachdevYeKitaev dots. Our work establishes universal transport at high entropy density as a robust far from equilibrium topological phenomenon, which can be readily realized with cold atoms in optical lattices. 
Wednesday, March 16, 2022 12:42PM  12:54PM 
N50.00007: Floquet Proximity Effect Yantao Li, Herb Fertig, Babak Seradjeh We introduce the concept of "Floquet proximity effect," in which the usual equilibrium proximity effect is modified by the presence of a strong periodic drive at the interface. We develop the general theory of Floquet proximity effect and obtain the Floquet mean field equations, which yield the frequencydependent induced order parameter. To illustrate the effect, we consider a Dirac system such as the surface of a topological insulator in proximity to an swave superconductor. The Floquet proximity effect modifies and induces effective frequencydependent pairing amplitudes in both systems. Thus, we provide an avenue to the theoretical and experimental study of dynamical superconducting pairing induced by Floquet proximity effect. 
Wednesday, March 16, 2022 12:54PM  1:06PM 
N50.00008: Universal Nonadiabatic Energy Pumping in a Quasiperiodically Driven Extended System Zihao Qi, Gil Refael, Yang Peng The paradigm of Floquet engineering of topological states of matter can be generalized into the timequasiperiodic scenario, where a lower dimensional timedependent system maps into a higher dimensional one by combining the physical dimensions with additional synthetic dimensions generated by multiple incommensurate driving frequencies. Different than most previous works in which gapped topological phases were considered, we propose an experimentally realizable, one dimensional chain driven by two frequencies, which maps into a gapless Weyl semimetal in synthetic dimension. Based on analytical reasoning and numerical simulations, we found the nonadiabatic quantum dynamics of this system exhibit energy pumping behaviors characterized by universal functions. We also numerically found such behaviors are robust against a considerable amount of spatial disorder. 
Wednesday, March 16, 2022 1:06PM  1:18PM 
N50.00009: Localizationprotected energy pump Anushya Chandran, David M Long, Philip Crowley Localization can protect topological orders in interacting onedimensional systems, even in the presence of quasiperiodic driving. We present an explicit model achieving such a nontrivial topological phase with protected edge modes. The system pumps energy between the drives at a quantized rate, even at infinite temperature. 
Wednesday, March 16, 2022 1:18PM  1:30PM 
N50.00010: Interactions in the timedomain within the FloquetBloch formalism R. Matthias Geilhufe, Gayanath Fernando The rich landscape of phenomena in condensed matter physics is strongly tied to quasi particle interactions. In the static domain and in equilibrium, treating interaction effects is conceptually established. Out of equilibrium, novel phenomena emerge. We report about an extension of the HatsugaiKohmoto model [1] into the time domain. This model, local in momentum and exactly solvable, captures the essential leading contributions of strongly correlated quantum systems. In the timedomain, it serves as a platform to investigate dynamic quantum phases of matter. We focus on the case of coherently driven matter which can be approximated in the FloquetBloch framework adopted recently [2]. 
Wednesday, March 16, 2022 1:30PM  1:42PM 
N50.00011: Nonequilibrium Floquet steady states of timeperiodic driven Luttinger liquids Sebastian Eggert, Serena Fazzini, Imke Schneider, Piotr Chudzinski, Christoph Dauer We study interplay of Floquet states and strong interactions using timeperiodic fields in a Luttinger liquid with periodically changing interactions. By developing a timeperiodic operator algebra, we are able to obtain the complete set of explicit steady state solutions of the timedependent Schrödinger equation in terms of a FloquetBogoliubov ansatz and known analytic functions. Complex valued Floquet eigenenergies occur when integer multiples of the driving frequency approximately match twice the dispersion energy, which correspond to resonant states. Including damping effects we show that this resonant behavior leads to a large number of density excitations, which allow quantitative comparisons with experiments. This setup is one or the rare cases, where a complete Floquet solution can be obtained exactly for a timeperiodically driven manybody system. 
Wednesday, March 16, 2022 1:42PM  1:54PM 
N50.00012: Transport properties of Floquet Majorana modes and Floquet quasiMajorana modes Nicolo' Forcellini, Dong E. Liu We numerically investigate the properties of Floquet Majorana zero modes (FMZMs) and partiallyseparated Floquet quasiMajorana modes (FQMMs) in a realistic Floquet topological superconductor. The model consists of a periodically driven nanowire proximitized to an swave superconductor, whose dissipative nature needs to be taken into account due to the periodic drive [1]. We study the spectrum of the driven nanowire in the two phases, topological and trivial, as well as the transport properties of the FMZMs and FQMMs when coupled to a quantum dot and external leads. 
Wednesday, March 16, 2022 1:54PM  2:06PM 
N50.00013: Stability of Floquet Majorana box qubits Anne Matthies, Jinhon Park, Erez Berg, Achim Rosch A topological superconductor in one dimension can host Majorana zero modes at its edge. By driving the system periodically, socalled π modes (also named FloquetMajoranas) can arise. These are topologically protected modes with the quasienergy π/T, where T is the period of the drive. We consider the role of π modes in the presence of longrange Coulomb interactions and therefore study a Cooper pair box made of two Josephson coupled superconducting topological quantum wires. Timedependent gate voltages periodically drive the system and can induce π modes. The presence of four Majoranas and four π Majoranas in our setup allows us to define three topological qubits in a fixed fermion parity sector within one single box. We investigate how to obtain and control the π modes and study their stability in the presence of interactions. The stability of the FloquetMajorana box qubit depends crucially on the initialization of the Floquet state. If the system is prepared by adiabatically increasing the amplitude of the oscillating gate voltage, the topological Floquet phase is always inherently unstable. The instability arises due to resonant quasiparticle creation mediated by interactions. However, a stable Floquet phase can be reached by using a twostep protocol. First, the amplitude of the oscillating gate voltage is adiabatically increased, while the frequency of the oscillation is small. Then, the oscillation frequency is increased slowly. With this frequencysweep protocol, we can achieve a stable Floquet device despite interactions. 
Wednesday, March 16, 2022 2:06PM  2:18PM 
N50.00014: An ideal rapidcycle Thouless pump Savvas Malikis, Vadim Cheianov Thouless pumping is a fundamental instance of quantized transport, which is topologically protected. Although its theoretical importance, the adiabaticity condition is an obstacle for further practical applications. Focusing on the RiceMele model, I will explain the way to create a family of finitefrequency examples that ensure both the absence of excitations and the perfect quantization of the pumped charge at the end of each cycle. This family, which contains an adiabatic protocol as a limiting case, is obtained through a mapping onto the zero curvature representation of the Euclidean sinhGordon equation. 
Wednesday, March 16, 2022 2:18PM  2:30PM 
N50.00015: Anomalous Random Multipolar Driven Insulators hongzheng zhao, Roderich Moessner, Mark Rudner, Johannes Knolle We show that in the absence of the time translation symmetry, nonequilibrium topological phases of mattercan exist for an exceptionally long time despite its eventual thermalization. As a prerequisite, we first demonstrate the existence of a longlived prethermal Anderson localization in 2D with random multipolar driving. Later we show the localization is topologically nontrivial as its bulk orbital magnetization is precisely quantized even though there is no welldefined Floquet eigenergies and states. We further confirm the existence ofthe anomalous random multipolar driven insulators by detecting the quantized charge pumping at the boundries 
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