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Interaction-disorder competition in a spin system evaluated through the Loschmidt echo

2013/05/31 by Pablo R. Zangara, Axel D. Dente, Anı́bal Iucci +3
Mathematics · Physics and Astronomy · #Computer science #Ergodic theory #Mathematics #Phase (matter) #Phase diagram #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Quantum, superfluid, helium dynamics #Spectroscopy and Quantum Chemical Studies #Spin (aerodynamics) #Statistical physics #Thermalisation #Witness #cond-mat.dis-nn #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.88.195106

published as Phys. Rev. B 88, 195106 (2013) · 5 pages, 3 figures

openalex publication_date 2013/11/04 · arxiv created 2013/11/11 · arxiv updated 2013/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The interplay between interactions and disorder in closed quantum many-body systems is relevant for thermalization phenomenon. In this paper, we address this competition in an infinite temperature spin system by means of the Loschmidt echo (LE), which is based on a time reversal procedure. This quantity has been formerly employed to connect quantum and classical chaos, and in the present many-body scenario we use it as a dynamical witness. We assess the LE time scales as a function of disorder and interaction strengths. The strategy enables a qualitative phase diagram that shows the regions of ergodic and nonergodic behavior of the polarization under the echo dynamics.

Citations