Coupling of light and matter can lead to the emergence of new collective phenomena, which render a separate description in terms of light or matter impossible. To understand and describe such cases, new composite light matter objects need to be introduced. In this chapter, we present theoretical studies of two examples of such systems. The...
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January 11, 2018 (v1)Conference paperUploaded on: December 4, 2022
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October 2016 (v1)Journal article
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October 23, 2023 (v1)Publication
We present theoretical results concerning the critical velocity for dissipationless motion of a two-dimensional nonlinear Schrödinger superfluid past a static obstacle represented by a repulsive potential of large width. In contrast to most of the state of the art, our study is not restricted to an impenetrable obstacle potential nor to a...
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June 22, 2023 (v1)Publication
We consider in this work the different possible stationary flows of a one dimensional quantum fluid in the mean-field regime. We focus on the supersonic regime where a transition from a time dependent flow to a stationary diffractive flow occurs at a given critical velocity. We give nonperturbative results for this critical velocity in the...
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January 2016 (v1)Conference paper
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July 2016 (v1)Conference paper
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January 19, 2024 (v1)Journal articleCritical velocity of a two-dimensional superflow past a potential barrier of arbitrary penetrability
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December 2019 (v1)Journal article
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May 24, 2019 (v1)Journal article
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September 2014 (v1)Journal article
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July 2015 (v1)Journal article
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September 2013 (v1)Journal article
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June 2013 (v1)Journal article
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February 6, 2019 (v1)Journal article
The Hubbard-Holstein model describes fermions on a discrete lattice, with on-site repulsion between fermions and a coupling to phonons that are localized on sites. Generally, at half-filling, increasing the coupling $g$ to the phonons drives the system towards a Peierls charge density wave state whereas increasing the electron-electron...
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December 2017 (v1)Conference paper
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2017 (v1)Journal article
High-finesse optical cavity allows the establishment of long-range interactions between bosons in an optical lattice when most cold atoms experiments are restricted to short-range interactions. Supersolid phases have recently been experimentally observed in such systems. Using both exact quantum Monte Carlo simulations and Gutzwiller...
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September 2022 (v1)Journal article
We study the equilibrium properties of a one-dimensional mixture of two Tonks-Girardeau gases on a ring geometry in the limit of strongly repulsive interspecies interactions. We derive the exact many-body wave function and compare it to the SU(2) solution where intra- and interspecies interactions are also diverging but equal. We focus on the...
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May 10, 2021 (v1)Journal article
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May 5, 2020 (v1)Journal article
Neural-network quantum states have shown great potential for the study of many-body quantum systems. In statistical machine learning, transfer learning designates protocols reusing features of a machine learning model trained for a problem to solve a possibly related but different problem. We propose to evaluate the potential of transfer...
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June 12, 2020 (v1)Publication
Finding the precise location of quantum critical points is of particular importance to characterise quantum many-body systems at zero temperature. However, quantum many-body systems are notoriously hard to study because the dimension of their Hilbert space increases exponentially with their size. Recently, machine learning tools known as...
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August 29, 2020 (v1)Conference paper
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February 7, 2023 (v1)Conference paper
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