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Unraveling the excitation spectrum of many-body systems from quantum quenches

Abstract : Quenches are now routinely used in synthetic quantum systems to study a variety of fundamental effects, including ergodicity breaking, light-cone-like spreading of information, and dynamical phase transitions. It was shown recently that the dynamics of equal-time correlators may be related to ground-state phase transitions and some properties of the system excitations. Here, we show that the full low-lying excitation spectrum of a generic many-body quantum system can be extracted from the after-quench dynamics of equal-time correlators. We demonstrate it for a variety of one-dimensional lattice models amenable to exact numerical calculations, including Bose and spin models, with short-or long-range interactions. The approach also applies to higher dimensions, correlated fermions, and continuous models. We argue that it provides an alternative approach to standard pump-probe spectroscopic methods and discuss its advantages.
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Submitted on : Thursday, January 9, 2020 - 5:25:22 PM
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Louis Villa, Julien Despres, Laurent Sanchez-Palencia. Unraveling the excitation spectrum of many-body systems from quantum quenches. Physical Review A, American Physical Society 2019, 100 (6), ⟨10.1103/PhysRevA.100.063632⟩. ⟨hal-02434166⟩



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