Time-Crystalline Topological Superconductors

Chew, Aaron; Mross, David F.; Alicea, Jason

doi:10.1103/physrevlett.124.096802

Cited by 14 publications

(7 citation statements)

References 40 publications

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“…The large Floquet odd-ω pair amplitudes found here would be expected to remedy that situation. Moreover, our findings might also be relevant for other recent advances in superconductors under time-periodic driving fields, such as Higgs modes in superconductors under radiation [56][57][58] and time-crystalline superconductors [59], where the emergence of Floquet odd-ω pairs should be inevitable and could play an important role.…”

mentioning

confidence: 70%

Floquet engineering bulk odd-frequency superconducting pairs

Cayao,

Triola,

Black-Schaffer

2020

Preprint

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We introduce the concept of Floquet odd-frequency superconducting pairs and establish their emergence in time-periodic conventional superconductors, where the continuous time-translation invariance is broken. We show that these exotic Cooper pairs are possible because the Floquet modes in time-periodic systems provide an additional index (Floquet index) that broadens the classification of pair symmetries, with no analog in the static regime. Our results thus put forward a different route for odd-frequency superconducting pairs and pave the way for Floquet engineered dynamical superconducting states.

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mentioning

confidence: 70%

Floquet engineering bulk odd-frequency superconducting pairs

Cayao,

Triola,

Black-Schaffer

2020

Preprint

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“…In the driven models with anomalous Floquet topological phases, therefore equivalently, the universal coexistence between zero and pi edge modes (or domain walls) can lead to the period-doubling oscillation that indicates a class of ubiquitous presence of Floquet time-crystalline period-2T oscillations in one-dimensional periodically driven systems. It is worthy to note that these three intimately-related TFTCs can be viewed as the hand-waving starting point to engage with various disorders, weak interactions, and other parameters protocols in such as topological insulators and superconductors [29,57], topological photonics and quantum synthetic materials.…”

Section: Time-crystalline Phases In Other One-dimensional Driven Modelsmentioning

confidence: 99%

Time-crystalline phases and period-doubling oscillations in one-dimensional Floquet topological insulators

Pan

Wang

2020

Phys. Rev. Research

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In this work, we reported a ubiquitous presence of topological Floquet time crystal (TFTC) in one-dimensional periodically-driven systems. The rigidity and realization of spontaneous discrete time-translation symmetry (DTS) breaking in our TFTC model require necessarily coexistence of anomalous topological invariants, instead of the presence of disorders or manybody localization. We found that in a particular frequency range of the underlying drive, the anomalous Floquet phase coexistence between topological 0 and π modes can produce the period-doubling (2T, two cycles of the drive) that breaks the DTS spontaneously, leading to the subharmonic response (ω/2, half the drive frequency). The rigid period-2T oscillation is topologically-protected against perturbations due to both non-trivially opening of 0-and πgaps in the quasienergy spectrum, thus, as a result, can be viewed as a specific "Rabi oscillation" between two Floquet eigenstates with certain quasienergy splitting π/T . Our modeling of the time-crystalline 'ground state' can be easily realized in experimental platforms such as topological photonics and ultracold fields. Also, our work can bring significant interests to explore topological phase transition in Floquet systems and to bridge a profound connection between Floquet topological insulators and photonics and period-doubled time crystals.

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“…On the other hand, breakage of the discrete time-translational symmetry in periodically driven systems has not been ruled out, [6][7][8][9] and it becomes a promising research direction. [10][11][12][13][14][15] To date, most materialized time crystals follow this direction and are rapidly explored in a number of quantum simulation platforms such as trapped ions, [16] diamond nitrogen-vacancy centers, [17] superfluid quantum gases, [18,19] and nuclear magnetic resonances. [20,21] However, the ground state (a state of minimum energy) of a genuine time-crystalline phase is elusive [5] because it is intrinsically non-conservative outof-equilibrium after its time-translational symmetry is spontaneously broken due to the temporal periodicity.…”

Section: Introductionmentioning

confidence: 99%

Observation of Photonic Topological Floquet Time Crystals

Wang

Quan

Han

et al. 2022

Laser & Photonics Reviews

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The two main research questions on time crystals are: What is a time crystal? Is there a material that is spontaneously crystalline in time? This study synthesizes a photonic material of topological Floquet time crystals and experimentally observes its indicative period‐2T$2T$ beating. A single‐particle picture is explicitly reconstructed of discrete time‐crystalline phase and is revealed using an appropriately‐designed photonic Floquet simulator the rigid period‐doubling as a signature of the breakage of the discrete time‐translational symmetry. Unlike the requirement of the many‐body localization, the photonic Floquet time crystal is derived from a newly defined single‐particle topological phase that can be extensively accessed by many pertinent nonequilibrium and periodically‐driven platforms. The observation will drive theoretical and technological interests toward condensed matter physics and topological photonics.

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Time-Crystalline Topological Superconductors

Cited by 14 publications

References 40 publications

Floquet engineering bulk odd-frequency superconducting pairs

Floquet engineering bulk odd-frequency superconducting pairs

Time-crystalline phases and period-doubling oscillations in one-dimensional Floquet topological insulators

Observation of Photonic Topological Floquet Time Crystals

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