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

2019/10/31 by Louis Villa, Julien Despres, Laurent Sanchez-Palencia · 26 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Ergodicity #Excitation #Fermion #Ground state #Lattice (music) #Phase transition #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Quantum, superfluid, helium dynamics #Statistical physics #Variety (cybernetics) #cond-mat.quant-gas

paper · pdf · doi:10.1103/physreva.100.063632

published in Physical Review A 100(6) (American Physical Society) · 4 + 7 pages

openalex publication_date 2019/12/23 · arxiv created 2020/01/09 · arxiv updated 2020/01/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Quantum Inverse Scattering Method and Correlation Functions
• Quasiparticle engineering and entanglement propagation in a quantum many-body system
• Probing the Excitations of a Lieb-Liniger Gas from Weak to Strong Coupling
• Differences between the Tonks regimes in the continuum and on the lattice
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Many-body physics with ultracold gases
• Using photoemission spectroscopy to probe a strongly interacting Fermi gas
• Sweeping from the Superfluid to the Mott Phase in the Bose-Hubbard Model
• Quantum many-body systems out of equilibrium
• Bogoliubov theory of quantum correlations in the time-dependent Bose-Hubbard model
• Probing the Electronic Structure of Complex Systems by ARPES
• Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet
• An introduction to integrable techniques for one-dimensional quantum systems

Cited by

• Finding the phase diagram of strongly correlated disordered bosons using quantum quenches
• Observing the emergence of a velocity hierarchy in matter waves