Many-Body Spin Echo

Abstract

We predict a universal echo phenomenon present in the time evolution of many-body states of interacting quantum systems described by Fermi-Hubbard models. It consists of the coherent revival of transition probabilities echoing a sudden flip of the spins that, contrary to its single-particle (Hahn) version, is not dephased by interactions or spin-orbit coupling. The many-body spin echo signal has a universal shape independent of the interaction strength, and an amplitude and sign depending only on combinatorial relations between the number of particles and the number of applied spin flips. Our analytical predictions, based on semiclassical interfering amplitudes in Fock space associated with chaotic mean-field solutions, are tested against extensive numerical simulations confirming that the coherent origin of the echo lies in the existence of anti-unitary symmetries.

5 pages, 4 figures

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Cited by in corpus (8)

• Many-Body Quantum Interference and the Saturation of Out-of-Time-Order Correlators
• Spectral statistics of chaotic many-body systems
• Semiclassical roots of universality in many-body quantum chaos
• Enhancement of many-body quantum interference in chaotic bosonic systems
• Symmetry-induced many-body quantum interference in chaotic bosonic systems: an augmented Truncated Wigner method
• Universal correlations in chaotic many-body quantum states: Fock-space formulation of Berrys random wave model
• Inversion of coherent backscattering with interacting Bose-Einstein condensates in two-dimensional disorder : a Truncated Wigner approach
• A Mapping between the Spin and Fermion Algebra