Effective time reversal and echo dynamics in the transverse field Ising model

Abstract

The question of thermalisation in closed quantum many-body systems has received a lot of attention in the past few years. An intimately related question is whether a closed quantum system shows irreversible dynamics. However, irreversibility and what we actually mean by this in a quantum many-body system with unitary dynamics has been explored very little. In this work we investigate the dynamics of the Ising model in a transverse magnetic field involving an imperfect effective time reversal. We propose a definition of irreversibility based on the echo peak decay of observables. Inducing the effective time reversal by different protocols we find algebraic decay of the echo peak heights or an ever persisting echo peak indicating that the dynamics in this model is well reversible.

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Cited by in corpus (8)

• Semiclassical echo dynamics in the Sachdev-Ye-Kitaev model
• Tripartite information, scrambling, and the role of Hilbert space partitioning in quantum lattice models
• Quantum echo dynamics in the Sherrington-Kirkpatrick model
• Irreversible dynamics in quantum many-body systems
• Time Reversal Invariance of quantum kinetic equations II: Density operator formalism
• Predicting Imperfect Echo Dynamics in Many-Body Quantum Systems
• Persistent many-body quantum echoes
• Peculiarities of Rabi oscillations and free induction decay in two-component nuclear spin systems with Ising nuclei interactions