Loschmidt-amplitude wave function spectroscopy and the physics of dynamically driven phase transitions

Abstract

We introduce the Loschmidt amplitude as a powerful tool to perform spectroscopy of generic many-body wave functions and use it to interrogate the wave function obtained after ramping the transverse field quantum Ising model through its quantum critical point. Previous results are confirmed and a more complete understanding of the population of defects and of the effects of magnon-magnon interaction or finite-size corrections is obtained. The influence of quantum coherence is clarified.

arXiv comment4.5 pages + SM, 5 + 3 figures, accepted version

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Cited by in corpus (9)

• Dynamical evolution in a one-dimensional incommensurate lattice with $\mathcal{P}\mathcal{T}$ symmetry
• Selected applications of typicality to real-time dynamics of quantum many-body systems
• Dynamical structure factors of dynamical quantum simulators
• Dynamical quantum phase transitions in a mesoscopic superconducting system
• Kibble-Zurek mechanism in the Ising Field Theory
• Impact ionization and multiple photon absorptions in the two-dimensional photoexcited Hubbard model
• Site-selective doublon-holon dynamics in a pumped one-dimensional Hubbard superlattice with staggered Coulomb interactions
• Photoexcitations in the Hubbard model -- generalized Loschmidt amplitude analysis of impact ionization in small clusters
• Clifford-Dressed Variational Principles for Precise Loschmidt Echoes