Search Results - "Faribault, Alexandre"

Gaudin models solver based on the correspondence between Bethe ansatz and ordinary differential equations by Faribault, Alexandre, El Araby, Omar, Sträter, Christoph, Gritsev, Vladimir

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Common framework and quadratic Bethe equations for rational Gaudin magnets in arbitrarily oriented magnetic fields by Faribault, Alexandre, Tschirhart, Hugo

“…In this work we demonstrate a simple way to implement the quantum inverse scattering method to find eigenstates of spin-1/2 XXX Gaudin magnets in an…”
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Integrability-based analysis of the hyperfine-interaction-induced decoherence in quantum dots by Faribault, Alexandre, Schuricht, Dirk

“…Using the algebraic Bethe ansatz in conjunction with a simple Monte Carlo sampling technique, we study the problem of the decoherence of a central spin coupled…”
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Bethe ansatz and ordinary differential equation correspondence for degenerate Gaudin models by El Araby, Omar, Gritsev, Vladimir, Faribault, Alexandre

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Spin decoherence due to a randomly fluctuating spin bath by Faribault, Alexandre, Schuricht, Dirk

“…We study the decoherence of a spin in a quantum dot due to its hyperfine coupling to a randomly fluctuating bath of nuclear spins. The system is modeled by the…”
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Nonequilibrum dynamics in the strongly excited inhomogeneous Dicke model by Sträter, Christoph, Tsyplyatyev, Oleksandr, Faribault, Alexandre

“…Using the exact eigenstates of the inhomogeneous Dicke model obtained by numerically solving the Bethe equations, we study the decay of bosonic excitations due…”
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Exact mesoscopic correlation functions of the Richardson pairing model by Faribault, Alexandre, Calabrese, Pasquale, Caux, Jean-Sébastien

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Ground state solutions of inhomogeneous Bethe equations by Belliard, Samuel, Faribault, Alexandre

“…The distribution of Bethe roots, solution of the inhomogeneous Bethe equations, which characterize the ground state of the periodic XXX Heisenberg spin-…”
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Dynamical correlation functions of the mesoscopic pairing model by Faribault, Alexandre, Calabrese, Pasquale, Caux, Jean-Sébastien

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Strong-coupling emergence of dark states in XX central spin models by Dimo, Claude, Faribault, Alexandre

“…Physical Review B, 105 (letters) L121404 (2022) It was recently shown that the XX central spin model is integrable in the presence of a magnetic field…”
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Integrability and dark states of the XX spin-1 central spin model in a transverse field by De Nadai, Eric, Maestracci, Nathan, Faribault, Alexandre

“…It was recently shown that, for central spin-1/2 and central spin-1, the XX central spin model is integrable in the presence of a magnetic field oriented…”
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"Bethe-Ansatz-free" eigenstates of spin-1/2 Richardson-Gaudin integrable models by Faribault, Alexandre, Dimo, Claude

“…2022 J. Phys. A: Math. Theor. 55 415205 In this work we construct the eigenstates of the most general spin-1/2 Richardson-Gaudin model integrable in an…”
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Quadratic operator relations and Bethe equations for spin-1/2 Richardson-Gaudin models by Dimo, Claude, Faribault, Alexandre

“…In this work we demonstrate how one can, in a generic approach, derive a set of $N$ simple quadratic Bethe equations for integrable Richardson-Gaudin (RG)…”
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Gradient corrections to the local density approximation in the one-dimensional Bose gas by Riggio, François, Brun, Yannis, Karevski, Dragi, Faribault, Alexandre, Dubail, Jérôme

“…Phys. Rev. A 106, 053309 (2022) The local density approximation (LDA) is the central technical tool in the modeling of quantum gases in trapping potentials. It…”
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Common framework and quadratic Bethe equations for rational Gaudin magnets in arbitrarily oriented magnetic fields by Faribault, Alexandre, Tschirhart, Hugo

“…SciPost Phys. 3, 009 (2017) In this work we demonstrate a simple way to implement the quantum inverse scattering method to find eigenstates of spin-1/2 XXX…”
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Read-Green points and level crossings in XXZ central spin models and $p_x+ip_y$ topological superconductors by Faribault, Alexandre, Koussir, Houda, Mohamed, Mohamed Houssein

“…Phys. Rev. B 100, 205420 (2019) In this work, we study the full set of eigenstates of a $p_x+ip_y$ topological superconductor coupled to a particle bath which…”
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Reduced Density Matrices / Static Correlation Functions of Richardson-Gaudin States Without Rapidities by Faribault, Alexandre, Dimo, Claude, Moisset, Jean-David, Johnson, Paul A

“…Seniority-zero geminal wavefunctions are known to capture bond-breaking correlation. Among this class of wavefunctions, Richardson-Gaudin states stand out as…”
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Steady-states of out-of-equlibrium inhomogeneous Richardson-Gaudin quantum integrable models in quantum optics by Tschirhart, Hugo, Platini, Thierry, Faribault, Alexandre

“…In this work we present numerical results for physical quantities in the steady-state obtained after a variety of product-states initial conditions are evolved…”
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Bethe ansatz and ordinary differential eguation correspondence for degenerate Gaudin models by El Araby, Omar, Gritsev, Vladimir, Faribault, Alexandre

“…In this work, we generalize the numerical approach to Gaudin models developed earlier by us [Faribault, El Araby, Strater, and Gritsev, Phys. Rev. B 83. 235124…”
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Algebraic Bethe Ans\"atze and eigenvalue-based determinants for Dicke-Jaynes-Cummings-Gaudin quantum integrable models by Tschirhart, Hugo, Faribault, Alexandre

“…J. Phys. A: Math. Theor. 47 405204 (2014) In this work, we construct an alternative formulation to the traditional Algebraic Bethe ansatz for quantum…”
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