430 research outputs found

    Selection rules for breaking selection rules

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    Floquet systems often exhibit dynamical symmetries (DS) that govern the time-dependent dynamics and result in selection rules. When a DS is broken, selection rule deviations are expected. Typically, information about the symmetry-breaking perturbation/phase and the time-dependent dynamics can be extracted from these deviations, hence they are regarded as a background free gauge of symmetry breaking. However, to date, DS breaking & selection rule deviations are not described by a general approach, thus there is no universal insight about the interplay between selection rule deviations, the symmetry breaking perturbation, and the broken DS. Here we consider DS breaking in Floquet systems from a general standpoint, formulating a general theory that analytically connects the symmetry-broken and fully symmetric systems. Using an external laser (of arbitrary frequency and polarization), as a model DS breaking perturbation, we discover that the broken symmetry systematically imposes selection rules on the symmetry-broken system, which physically manifest as scaling laws of selection rule deviations. We term these rules 'selection rules for breaking selection rules'—a new concept in physics. We numerically validate the analytical theory in the context of high harmonic generation. Our discovery is a general feature of nonlinear wave-mixing phenomena, and we expect it to apply to any Floquet system (classical & quantum) and to any DS breaking mechanism (either by intrinsic or extrinsic elements of the system)

    Selection rules in symmetry-broken systems by symmetries in synthetic dimensions

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    Selection rules are often considered a hallmark of symmetry. Here, we employ symmetry-breaking degrees of freedom as synthetic dimensions to demonstrate that symmetry-broken systems systematically exhibit a specific class of symmetries and selection rules. These selection rules constrain the scaling of a system’s observables (non-perturbatively) as it transitions from symmetric to symmetry-broken. Specifically, we drive bi-elliptical high harmonic generation (HHG), and observe that the scaling of the HHG spectrum with the pump’s ellipticities is constrained by selection rules corresponding to symmetries in synthetic dimensions. We then show the generality of this phenomenon by analyzing periodically-driven (Floquet) systems subject to two driving fields, tabulating the resulting synthetic symmetries for (2 + 1)D Floquet groups, and deriving the corresponding selection rules for high harmonic generation (HHG) and other phenomena. The presented class of symmetries and selection rules opens routes for ultrafast spectroscopy of phonon-polarization, spin-orbit coupling, symmetry-protected dark bands, and more

    Car-Sharing Subscription Preferences and the Role of Incentives: The Case of Copenhagen, Munich, and Tel Aviv-Yafo

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    Car-sharing services provide short-term car access, contributing to sustainable urban mobility and generating positive societal and environmental impacts. Attraction and retention of members are essential for the profitability and survival of these services in cities. Yet, the relevance of a variety of possible business models’ features for car-sharing subscriptions is still under-explored. This study examines individuals’ preferences for subscribing to different car-sharing business models, focusing on the attractiveness of car-sharing-related features and incentives in different contexts. We designed a stated preference experiment and collected data from three different urban car-sharing settings: Copenhagen, Munich, and Tel Aviv-Yafo. A mixed logit model was estimated to uncover the determinants of each city’s car-sharing plan subscription. The achieved insights pave the road for the actual design of car-sharing business models and attractive incentives by car-sharing companies in the studied or similar cities. Our findings reveal that although some car-sharing intrinsic features are likely to be relevant everywhere (e.g., pricing, parking conditions), the local context affects the preferences of others. In Munich, respondents prefer car-sharing services with fleets composed of electric vehicles and value high accessibility to shared cars, so marketing campaigns focusing on the positive environmental impacts of car-sharing and strategic distribution of shared cars (e.g., hubs) are expected to be very appealing there. As for Copenhagen, a high probability of finding a car, the opportunity to book a shared car in advance, and having plans including other modes are more appreciated, making hubs in high-demand areas and Mobility-as-a-Service (MaaS) plans very attractive. Finally, in Tel Aviv, our findings highlight the advantages of exploring different pricing schemes and offering dynamic incentives to users for fleet rebalancing to positively contribute to car-sharing subscriptions and ridership

    Direct observation of mammalian cell growth and size regulation

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    We introduce a microfluidic system for simultaneously measuring single cell mass and cell cycle progression over multiple generations. We use this system to obtain over 1,000 hours of growth data from mouse lymphoblast and pro-B-cell lymphoid cell lines. Cell lineage analysis revealed a decrease in the growth rate variability at the G1/S phase transition, which suggests the presence of a growth rate threshold for maintaining size homeostasis

    Optimizing Optical Flow Cytometry for Cell Volume-Based Sorting and Analysis

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    Cell size is a defining characteristic central to cell function and ultimately to tissue architecture. The ability to sort cell subpopulations of different sizes would facilitate investigation at genomic and proteomic levels of mechanisms by which cells attain and maintain their size. Currently available cell sorters, however, cannot directly measure cell volume electronically, and it would therefore be desirable to know which of the optical measurements that can be made in such instruments provide the best estimate of volume. We investigated several different light scattering and fluorescence measurements in several different cell lines, sorting cell fractions from the high and low end of distributions, and measuring volume electronically to determine which sorting strategy yielded the best separated volume distributions. Since we found that different optical measurements were optimal for different cell lines, we suggest that following this procedure will enable other investigators to optimize their own cell sorters for volume-based separation of the cell types with which they work

    Rapid generation of endogenously driven transcriptional reporters in cells through CRISPR/Cas9

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    CRISPR/Cas9 technologies have been employed for genome editing to achieve gene knockouts and knock-ins in somatic cells. Similarly, certain endogenous genes have been tagged with fluorescent proteins. Often, the detection of tagged proteins requires high expression and sophisticated tools such as confocal microscopy and flow cytometry. Therefore, a simple, sensitive and robust transcriptional reporter system driven by endogenous promoter for studies into transcriptional regulation is desirable. We report a CRISPR/Cas9-based methodology for rapidly integrating a firefly luciferase gene in somatic cells under the control of endogenous promoter, using the TGFβ-responsive gene PAI-1. Our strategy employed a polycistronic cassette containing a non-fused GFP protein to ensure the detection of transgene delivery and rapid isolation of positive clones. We demonstrate that firefly luciferase cDNA can be efficiently delivered downstream of the promoter of the TGFβ-responsive gene PAI-1. Using chemical and genetic regulators of TGFβ signalling, we show that it mimics the transcriptional regulation of endogenous PAI-1 expression. Our unique approach has the potential to expedite studies on transcription of any gene in the context of its native chromatin landscape in somatic cells, allowing for robust high-throughput chemical and genetic screens
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