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

@article{Schmitt2016EffectiveTR, title={Effective time reversal and echo dynamics in the transverse field Ising model}, author={Markus Schmitt and Stefan K. Kehrein}, journal={Europhysics Letters}, year={2016}, volume={115} }

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…

## 8 Citations

Predicting Imperfect Echo Dynamics in Many-Body Quantum Systems

- PhysicsZeitschrift für Naturforschung A
- 2020

Abstract Echo protocols provide a means to investigate the arrow of time in macroscopic processes. Starting from a nonequilibrium state, the many-body quantum system under study is evolved for a…

Irreversible dynamics in quantum many-body systems

- PhysicsPhysical Review B
- 2018

Irreversibility, despite being a necessary condition for thermalization, still lacks a sound understanding in the context of quantum many-body systems. In this work we approach this question by…

Semiclassical echo dynamics in the Sachdev-Ye-Kitaev model

- PhysicsPhysical Review B
- 2019

The existence of a quantum butterfly effect in the form of exponential sensitivity to small perturbations has been under debate for a long time. Lately, this question has gained increased interest…

Tripartite information, scrambling, and the role of Hilbert space partitioning in quantum lattice models

- PhysicsPhysical Review B
- 2019

For the characterization of the dynamics in quantum many-body systems the question how information spreads and becomes distributed over the constituent degrees of freedom is of fundamental interest.…

Peculiarities of Rabi oscillations and free induction decay in two-component nuclear spin systems with Ising nuclei interactions

- PhysicsPhysical Review B
- 2021

Nuclear spin systems in manganites, having separation of ferromagnetic and antiferromagnetic phases, which are manifested as two lines in the NMR spectrum, are studied. Taking into account the Ising…

Time‐reversal invariance of quantum kinetic equations II: Density operator formalism

- PhysicsContributions to Plasma Physics
- 2018

Time‐reversal symmetry is a fundamental property of many quantum mechanical systems. The relation between statistical physics and time reversal is subtle, and not all statistical theories conserve…

Persistent many-body quantum echoes

- Physics
- 2020

We consider quantum many-body systems evolving under a time-independent Hamiltonian $H$ from a nonequilibrium initial state at time $t=0$ towards a close-to-equilibrium state at time $t=\tau$.…

Quantum echo dynamics in the Sherrington-Kirkpatrick model

- PhysicsSciPost Physics
- 2020

Understanding the footprints of chaos in quantum-many-body systems has been under debate for a long time.
In this work, we study the echo dynamics of the
Sherrington-Kirkpatrick (SK) model with…

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